Do static-sport athletes and dynamic-sport athletes differ in their visual focused attention?

### Abstract

The goal of this study was to evaluate current attention tests in sport psychology for their practical use in applied sport psychology. Current findings from the literature suggest that measures of visual focused attention may show different performances depending on sport type and test conditions (33). We predicted differences between static- and dynamic-sport athletes (17) when visual focused attention is tested with random (unstructured) versus fixed (structured) visual search in two experimental conditions (quiet environment versus auditory distraction). We analyzed 130 nationally competing athletes from different sports using two measures of visual focused attention: the structured d2 test and the unstructured concentration grid task. Compared to static-sport athletes, dynamic-sport athletes had better visual search scores in the concentration grid task in the condition with auditory distraction. These findings suggest that the results of attention tests should be differentially interpreted if different sport types and different test conditions are considered.

**Key words:** d2 test, concentration grid task, auditory distraction

### Introduction

The study reported here was motivated by recent calls within the applied field of sport psychology for a broad diagnostic framework in the domain of talent selection (7,35) as well as the ongoing evaluation for professional standards of the techniques that are used by practicing sport psychologists (14).

An increasing number of researchers have argued that psychological variables remain often unnoticed within talent identification models (1). However, among a range of other physical and technical variables, psychological variables have been identified as a significant predictor of success (18,27,34). For instance, during athletic performance attention is seen as one of the most important psychological skills underlying success because of the ability to exert mental effort effectively is vital for optimal athletic performance (12,22,27).

In cognitive psychology, attention is seen as a multidimensional construct. According to different taxonomies of attention, at least three distinct dimensions of attention have been identified (21,28,39). The first is _selectivity_. It includes selective attention as well as divided attention. The second dimension of attention refers to the aspect of _intensity_, which can include alertness and sustained attention. The third dimension is _capacity_ and refers to the fact that controlled processing is limited to the amount of information that can be processed at one time.

Individuals’ attentional performance in one or more of the aforementioned dimensions can be assessed in several ways (3, for an overview see 39). The selectivity aspect can, for instance, be approached with tasks involving either focused or divided attention. In focused attention tasks there are usually irrelevant stimuli, which must be ignored. In divided attention tasks, all stimuli are relevant, but may come from different sources and require different responses (39). Intensity requirements can be approached with tasks involving different degrees of difficulty, or with tasks that have to be carried out over longer periods of time. Finally, dual-task procedures, memory span tests, or other processing tasks are used to approach the capacity aspect (26). Practicing sport psychologists most often use standardized tests, which are easily administered in a paper-pencil form and therefore are easy to use in the field.

However, several authors (38) as well as diagnosticians in youth talent diagnostic centers in Germany have expressed a number of subjective impressions concerning the performance of athletes on attention tests (e.g., influence of sport type, test context, or expertise level) that are insufficiently indicated by the existing test norms. Therefore, the goal of the present study was to examine the influence of two essential factors (sport type and environmental context) on athlete’s performance in two different attention tests.

Boutcher’s multilevel approach (3) integrates relevant aspects of research and theory on attention from different perspectives. In his framework, internal as well as external factors, like enduring dispositions, demands of the task, and environmental factors, interact with attentional processes during performance. These factors are thought to initially influence the level of physiological arousal of the individual, which in turn influences controlled and automatic processing. When performing a task, the individual either uses controlled processing, automatic processing, or both, depending on the nature and the demands of the task. An optimal attentional state can be achieved by reaching or attaining the exact balance between automatic and controlled processing, essential for a particular task (3).

A sudden external distraction (e.g., auditory noise) is expected to hamper performance because it may disrupt the current attentional state by causing the individual to reach a level of arousal such that an imbalance in controlled and automatic processing occurs. However, individual differences may exist regarding the effect of internal or external distractions on attentional state. For instance, a gymnast normally performs his or her routine in a quiet environment in competition whereas during a basketball game the player is confronted with auditory noise. Unexpected auditory distractions may disrupt the attentional state of the gymnast but not the state of the basketball player because he is used to it.

There has been extensive research on different aspects of attentional performance in athletes. For instance, researchers examined attentional differences between athletes and non-athletes (5,20,23), between athletes on different expertise levels (8), as well as with regard to other factors, such as athlete type, sport type and gender (17,19,24,33) by using a variety of attentional tasks. Athletes are able to distribute their attention more effectively over multiple locations and better able switch their attention rapidly among locations than non-athletes (25). Furthermore, attentional performance seems to vary with the kind and amount of training provided by a sports environment so that athletes trained in more visually dynamic sports show better attentional control than athletes trained in less visually dynamic sports (24).

When using specific tests to assess attention performance, one should expect differences in test performance between athletes that vary in one or more of the aforementioned factors. In this context, Lum et al. highlight the need to examine athlete’s visual attention by using a variety of visual attention tasks (17, see also 20). Furthermore, existing test norms should account for the aforementioned differences to provide athletes with a reliable feedback on their individual attention performance.

For instance, to evaluate the visual focused attention performance of athletes, two common tests are used in the field of applied sport psychology, the d2 test and the concentration grid test (3, 4). Visual focused attention is usually operationalized as visual search so that target stimuli have to be found in a field of distractor stimuli (39). For instance, in the d2 test, participants need to select “d” letters with two dashes above them in an array of “d” and “p” letters with zero, one, or two dashes over or under each letter. The structure of reading letters from left to right provides an environment in which relevant stimuli need to be selected and irrelevant stimuli need to be ignored. The gaze searches throughout the visual array not in a random way but rather in a structured fashion. In contrast, in the concentration grid task, participants see a block of randomly distributed numbers, in which they need to search for numbers in sequence, such as number 01, then 02, 03, and so on. The concentration grid task is often administered as a training exercise in the field of applied sport psychology, and it has been proposed, that it works by developing the athlete’s ability to scan a visual array for relevant information, and to ignore irrelevant stimuli (11).

Given the different demands of these two tasks and the empirical evidence so far, one may speculate that athletes who have experience performing visual searches for relevant cues and making decisions in dynamic environments (which is typical for team sport athletes), will do better on the concentration grid test than on the d2 test (29). Athletes from individual sports who are exposed to a mostly static environment with one or a small number of stimuli should do better on the d2 test than on the concentration grid test.

Maxeiner compared, for instance, 30 gymnasts and 30 tennis players in their performance on the d2 test and on a reaction time task in which they were asked to press a pedal with their foot as soon as a square appeared on a computer monitor (19). Participants were tested under either a single-task condition, such that only the d2 test or the reaction time task had to be performed, or a multiple-task condition, in which both the d2 test and the reaction time task had to be carried out simultaneously. Reaction times showed a significantly stronger increase under the multiple-task condition for the gymnasts (about 28%) whereas no differences between gymnasts and tennis players were found for single-task conditions. The author concluded from this result, that tennis players have a better distributive ability of attention than gymnasts. However, the total number of items worked on the d2 test as well as the error rates did not differ between gymnasts and tennis players in either the single-task or multiple-task condition.

Tenenbaum, Benedick, and Bar-Eli conducted a similar study and found opposing results (33). The authors compared 252 young athletes from different sports disciplines in their d2-test performance. All athletes performed the d2 test in a quiet classroom with no distractions. Results indicate that the number of d’s the subjects have crossed (quantitative capacity) differed significantly by type of sport in females. High quantitative capacity scores in the d2 test were found for female athletes from sports such as tennis or volleyball, but not for female athletes from gymnastics. A similar pattern of results was found in male athletes, although only showing a tendency for rejecting the null hypothesis (p = .06). The authors found an additional effect for type of sport on error-rate. The largest error-rates were found in tennis and volleyball players whereas the smallest error-rates were found in track and field athletes. The authors concluded that concentration is individual and sport-type dependent and state that “Concentration should be further investigated with relation to motor performance” (p. 311).

Maxeiner and Tenenbaum et al. found opposing results in athletes from different sport domains in the d2 test (19,33). First, the authors assessed different parameters of the d2 test. Maxeiner quantified the total number of items worked on the d2 test, whereas Tenenbaum et al. quantified the number of d’s the subjects have crossed. The number of items worked on the d2 test is a reliable criterion for working speed (4), whereas the number of crossed d’s is related to both working speed and working accuracy. Assessing different parameters in the d2 test could lead to different results, therefore masking possible differences between participants from different sport domains. Following the suggestions of Brickenkamp, the practitioner should assess the concentration-performance score (number of marked d’s minus the number of signs incorrectly marked) in the first instance, because this value is resistant to tampering, such that neither the skipping of test parts nor the random marking of items increases the value (4).

Furthermore, Tenenbaum et al. had participants from tennis, fencing, volleyball, team-handball, track and field, and gymnastics indicating an unequal distribution of participants with regard to other criteria like kind of training provided by a sports environment (33). As mentioned above, attentional performance seems to vary with the kind and amount of training provided by a sports environment (24); the question arises whether athletes should be classified according to kind of training provided by a sports environment, rather than sport discipline per se when assessing their attentional performance.

Greenlees, Thelwell, and Holder examined the performance of 28 male collegiate soccer players in the concentration grid exercise (13,15). The players were assigned to either a 9-week concentration grid training or a control condition. During three test sessions the athletes were asked to complete a battery of concentration tasks, including the aforementioned concentration grid test. The results showed a significant main effect for training condition but not for test session, indicating that the concentration training group was superior to the control group but did not exhibit any improvement during the 9-week training interval. However, Greenless et al. assessed only soccer players with a playing experience of 10.45  2.31 years, which indicates that they already possess substantial experience in performing visual searches for relevant cues in dynamic environments (13). This could at least in part explain why the participants of the concentration training group did not improve their performance on the concentration grid task as compared to the participants of the control group. Additionally, the two groups were not homogeneous in their concentration grid performance at the study onset, which may in part explain the main effect for training condition. The findings of Greenless et al. highlight the need for further research on the concentration grid test, especially examining the extent to which the task reflects sport-specific concentration skills and therefore support the need for ongoing evaluation of this technique in diagnostics and intervention.

Taken together, we can identify two main factors that need to be considered when assessing athletes’ visual focused attention. First, a broad application of attention tests that are sensitive to the athlete’s experience in different types of sports should be made. This means, in particular, recognizing that different sport environments (static vs. dynamic), encouraging different visual search and decision strategies (fixed or structured vs. random or unstructured), and realizing that the same tests do not necessarily capture both types of strategies. Second, the environmental context (with or without distraction) can increase or decrease performance, respectively.

We adapted the dichotomy of Lum et al. and hypothesized that static-sport athletes and dynamic sport-athletes would not differ in d2 scores but would differ in concentration grid scores due to their different perceptual experiences (17). This finding would not only help to clarify previous results (19,33) but would extend them to different concentration tasks (d2 test vs. concentration grid) following the conclusions of Greenlees et al. as well as Tenenbaum et al. (13,33). We furthermore hypothesized that auditory distraction would have a detrimental effect on performance in both the d2 test and the concentration grid test because it may disrupt the current attentional state (3). We therefore compared performances in the d2 test and the concentration grid test with and without auditory distraction.

### Method

#### Participants

A sample of 130 athletes (students of Sport Science, German Sport University) were recruited to participate in the study (n = 44 women, mean age = 22 years and n = 86 men, mean age = 22 years). Ages ranged from 19 to 33 years, with a mean age of 22 years (SD = 2.4 years). Of these, 66 students (n = 15 women and n = 51 men) competed in 6 different sports with a dynamic visual environment (i.e., soccer, volleyball) and 64 (n = 29 women and n = 35 men) competed in another 6 different sports with mostly static visual environment (i.e., track and field athletics, gymnastics). All students had been performing their sport for at least 7 years with 19.2% (n = 25) of them reporting national experience (German championships or national league) and 11.5% (n = 15) also reporting international experience. All participants were informed about the purpose and the procedures of the study and gave their written consent prior to the experiment. Participants reported to have no prior experience with either the d2 test or the concentration grid test.

We recruited an additional sample of n = 25 students of sport science in order to evaluate the reliability of the d2 test and the concentration grid test and to estimate the validity of the concentration grid test. This was necessary because, first, we applied modified versions of the original tests and second, there were no reliability or validity statistics available in the current literature for the concentration grid test.

#### Tasks and Apparatus

##### d2 Test of Visual Focused Attention.

The d2 test was used to assess visual focused attention (4,39). It is seen as a reliable and valid instrument, most commonly being used in the fields of cognitive, clinical, and sport psychology. In the standardized version of this task, 14 lines consisting of 47 letters each are presented to the participant. The letters can be a “p” or a “d” with zero, one, or two small dashes above or below it. The task is to process all items (letters) of a line in a sequential order and to mark every “d” with two dashes above or below. All other letters are to be left unmarked.

The visual search pattern in the d2 test is guided by the structure of the stimulus field (fixed visual search). To avoid ceiling effects, there is a temporal restriction of 15 seconds to process each line. After 15 seconds there is a verbal instruction to proceed to the next line. Norms are available for age groups between 9 and 60 years. Reliability coefficients of the test range from r = .84 to r = .98 (4).

In the present study, 7 lines of the d2 test had to be dealt with under each experimental condition with each line consisting of 47 letters. This test reduction was applied for practical reasons, particularly to match the working time of the concentration grid task. Prior to the study, we analyzed d2-test results of 7 lines (Version A) and 14 lines (Version B) in a test–retest design with a temporal delay of 1 week. The results indicate a significant product–moment correlation between the two versions of the test in a sample of 25 students of sport science (r = .80; p < .05). Therefore, we believed that the use of 7 instead of 14 lines should be adequate for the purposes of this study. From the performance of each participant in the d2 test, two parameters were obtained: a concentration-performance score and the error rate. The concentration-performance score is the number of d letters the subject marked minus the number of signs (dashes) incorrectly marked. The error rate is the number of signs incorrectly marked plus the number of correct signs missed.

##### Concentration Grid Task

Two versions of the concentration grid test were used as a second measure of visual focused attention, and in particular, visual search (15,21). They were modified from the concentration grid exercise, which can be found in Harris and Harris (1984). The first version (CG1) used in this study consisted of 7 horizontal and 7 vertical squares arranged in a grid of 49 squares altogether. A unique two digit-number (from 00 to 49) was placed randomly in the center of each square. The second version (CG2) of the concentration grid was identical to the first except for a different placement of the numbers. To ensure comparability, the relative distance from each number to the following number was the same in the two grids. We also examined the reliability of the concentration grid task. In a test–retest design with a temporal delay of a 1-week interval, a significant product-moment correlation of r = .79 (p < .05) was found in a sample of 25 students of sport science.

In the concentration grid task the participants were instructed to mark as many consecutive numbers (starting from 00) as possible within a 1-min period under each experimental condition. The resultant number of correctly processed items was used for further data analysis. In comparison to the d2 test, the participants’ visual search pattern in the concentration grid is not entirely guided by the structure of the stimulus field; instead, the participant is advised to scan the grid (random visual search). We calculated the product-moment correlation between the concentration grid scores and the d2 test results in the aforementioned sample of 25 students of sport science to estimate the construct validity of the concentration grid. The analysis revealed a non-significant product-moment correlation of r = .10 (p = .62), indicating that the concentration grid test captures a different aspect of visual focused attention than the d2 test.

#### Procedures

A trained research assistant introduced the experimental tasks to each individually tested participant. The participant was given a practice trial of 20 seconds for the concentration grid exercise (altered version of the original CG1) and a practice trial of two lines for the d2 test to become familiarized with the two experimental tasks. The participant had to perform each of the two tasks under two different experimental conditions, that is, in different environmental contexts (for a total of four experimental phases: d2 test and concentration grid task under normal and auditory distraction conditions, respectively). In one condition no sensory distractions were present. The participant completed the tasks in the quiet laboratory environment. In the other condition an auditory distraction was present. The participant wore headphones that enclosed the whole ear. A mixture of distracting, sport-specific environmental sounds was played back at 90 dB. We used ambient sound recordings of the audience and the players from the last 3 minutes of two first division basketball matches in which both teams played head to head until the end of the match. We compiled the sound recordings to fit the two 1-min periods for the auditory distraction condition (d2 test and concentration grid task) in such a way that the played back sound recording comprised the audience’s and the player’s sounds of three offense and three defense situations. In all tasks the participant sat at a worktable with a head–table distance of 40 cm. The test order was counterbalanced for the participants and the experimental tasks required approximately 20 minutes to complete.

### Results

A significance criterion of α = .05was established for all results reported (9). Prior to testing the main hypothesis, moderating effects of age, sex, and experimental sequence were assessed. We conducted separate analyses of variance on the dependent variables, first, with sex as categorical factor (male versus female), second, with age as continuous predictor, and third, with experimental sequence as categorical predictor (auditory distraction following no distraction versus no distraction following auditory distraction). There were no significant effects of sex, age, or experimental sequence on any of the dependent variables (p < .05).

A correlation analysis indicated that there was no significant product–moment correlation between the concentration-performance score of the d2 test and the number of correctly processed items in the concentration grid task (r = -.01; p = .68), nor between the concentration-performance score and the error rate in the d2 test (r = -.02; p = .47). To assess differences in the dependent variables, we conducted 2 × 2 (Environmental Context × Sport Type) univariate analyses of variance (ANOVAs) with condition being the repeated measure. Post hoc analyses were carried out using the Tukey HSD post hoc test. Cohen’s f was calculated as an effect size for all analyzed F values higher than 1 (6). Additionally, we conducted single sample t-tests to compare our study sample to the age matched normative sample. This was done for each participant’s d2 test performance (concentration-performance score and error rates) but not for the concentration grid task, because norms were available only for the d2 test. Cohen’s d was calculated as an effect size for all analyzed t values higher than 1.

#### d2 Test of Visual Focused Attention

Descriptive statistics for the concentration-performance scores and the error rate of the d2 test are shown in Table 1. First, we assumed that d2 scores would not differ between the two groups reflecting static-sport athletes and dynamic-sport athletes. A 2 × 2 (Sport Type × Environmental Context) ANOVA with repeated measures on the second factor was conducted, taking the concentration-performance score as the dependent variable. The results showed that the two groups did not differ in their concentration-performance scores, F(1, 128) = .004, p = .94, achieved power = .94. Our second assumption was that auditory distraction would have a detrimental effect on concentration performance. To our surprise, the ANOVA revealed a significant main effect for environmental context, F(1, 128) = 66.02, p < .05, Cohen’s f = 0.72, reflecting higher concentration-performance scores for the auditory distraction condition for both dynamic-sport and static-sport athletes (see Table 1). The effect size indicates a large effect (6). Furthermore there was no significant interaction effect for Sport Type × Environmental Context, F(1, 128) = .01, p = .76, achieved power = .98.

To determine if participants from our study sample differed from the general population in concentration performance, we calculated single sample t-tests. The results show that in the normal condition, neither static-sport athletes, t(63) = 1.56, p = .12, Cohen’s d = 0.19, nor dynamic-sport athletes, t(65) = 1.81, p = .07, Cohen’s d = 0.22, differed in their concentration performance from the normative sample’s mean. However, in the auditory distraction condition both groups differed significantly from the normative sample’s mean (static-sport athletes, t(63) = 3.17, p = .002, Cohen’s d = 0.39; dynamic-sport athletes, t(65) = 3.37, p = .001, Cohen’s d = 0.42).

Second, a 2 × 2 (Sport Type × Environmental Context) ANOVA with repeated measures on the first factor was conducted, taking the error rate in the d2 test as the dependent variable. There were no significant main effects, neither for sport type, F(1, 128) = 3.71, p = .06, Cohen’s f = 0.17, achieved power = .61, nor for environmental context, F(1, 128) = 1.50, p = .22, Cohen’s f = 0.11, achieved power = .75. In addition, the interaction effect Sport Type × Environmental Context showed no statistical significance, F(1, 128) = 2.02, p = .16, Cohen’s f = 0.13, achieved power = .95. Dynamic-sport athletes did not make more mistakes on the d2 test in comparison to static-sport athletes, neither in the normal nor in the auditory distraction condition.

To determine if participants from our study sample differed from the general population in error rate, we calculated single sample t-tests. The results show that in the normal condition, dynamic-sport athletes, t(65) = -2.88, p = .005, Cohen’s d = 0.35, but not static-sport athletes, t(63) = -1.41, p = .16, Cohen’s d = 0.17, made on average fewer mistakes than the participants from the normative sample. The same pattern of results was found for participant’s error rates in the auditory distraction condition (static-sport athletes, t(63) = 0.36, p = .71, Cohen’s d = 0.05; dynamic-sport athletes, t(65) = -3.17, p = .002, Cohen’s d = 0.39).

#### Concentration Grid Task

We assumed that concentration grid scores would differ between the two groups reflecting static-sport athletes and dynamic-sport athletes. The second assumption was that auditory distraction would have a detrimental effect on concentration performance. A 2 × 2 (Sport Type × Environmental Context) ANOVA with repeated measures on the second factor was conducted, taking the concentration grid score as the dependent variable. The ANOVA revealed no significant main effects for either sport type, F(1, 128) = 1.40, p = .24, Cohen’s f = 0.11, or environmental context, F(1, 128) = 0.27, p = .60. We assume that we can rely on the two findings because of a test power greater than .90. To our surprise the interaction effect Environmental Context × Sport Type showed statistical significance, F(1, 128) = 4.54, p = .04, Cohen’s f = 0.19. Post hoc analysis revealed that participants in the dynamic-sport group scored higher in the concentration grid task under the auditory distraction condition, whereas participants in the individual-sport group scored lower under the auditory distraction condition, compared to the normal condition (see Figure 1).

### Discussion

The goal of this study was to evaluate two attention tests in sport psychology in terms of their application in athletes who are trained in more visually dynamic sports compared to athletes trained in visually less dynamic sports with regard to different environmental contexts. Visual focused attention was examined with random (concentration grid task) versus fixed (d2 test) visual search in a quiet environment and under auditory distraction (4,15).

The results extend current findings on attention performance of athletes with regard to sport type, environmental context, and task dependency. Dynamic-sport athletes did not differ in their concentration performance from static-sport athletes, neither in the d2 test nor in the concentration grid task under quiet laboratory environmental conditions. This result confirms our first hypothesis with regard to the d2 test and supports the findings of Maxeiner (19). We assume that the different perceptual experience of dynamic-sport athletes does not account for their visual search performance in the d2 test. On the one hand, this implies a fairly stable underlying ability to focus attention in simple tasks when a fixed (structured) visual search is a constraint of the task. On the other hand, it can be speculated that attention abilities manifest themselves in a sport-specific way on a more strategic level when integrating basic (attention) abilities in different skills that are not assessed by the d2 test.

Our second hypothesis was that auditory distraction would have a detrimental effect on attention performance in both the d2 test and the concentration grid task. To our surprise the results of the d2 test indicate higher concentration performance scores for the auditory distraction condition for dynamic-sport athletes as well as static-sport athletes. The scores were not only higher when compared between both experimental conditions but also when compared with the corresponding normative sample of the d2 test. This finding supports the assumptions of Tenenbaum et al. and Wilson, Peper, and Schmid, that visual search performance in unstructured contexts is task dependent, especially under auditory distraction conditions (33,38).

From the viewpoint of Boutcher’s multilevel approach to attention, it seems possible that in the auditory distraction condition the participants’ attentional states were optimized (3). This optimization helped the participants achieve higher scores in the relatively simple d2 test, regardless of their sport type. However, whether the supposed optimization was due to changes in arousal level, changes in controlled or automatic processing, or both, cannot be concluded from our results. In addition, the results of the concentration grid task (where an unstructured visual search is an inherit component of the task) show that participants in the dynamic-sport group scored higher in the auditory distraction condition in comparison to the participants in the static-sport group. Changes in arousal level and therefore in attentional state are known to influence visual control (16,32). It is reasonable that an increased amount and/or increased amplitude of saccades, when scanning the concentration grid, can lead to ignoring the actual target or finding it later than under normal conditions. This could explain the decrease in performance in the concentration grid task for static-sport athletes, because they are normally not trained to deal with such a situation in their sport. To further examine the gaze behavior in performing different attention test, eye-tracking methodology should be integrated into the experimental design.

The increase of the concentration grid scores of the dynamic-sport athletes in the auditory distraction condition could also be explained by differences in information processing. Dynamic-sport athletes seem to be able to allocate their attention capacity to more crucial aspects of the task (37). When scanning the concentration grid they could, for instance, pre-cue remaining numbers in specific areas of the grid in advance, in order to find these numbers faster at a later point in time. However, this aspect is open for further investigation. We assume that dynamic-sport athletes benefit from their sport-specific perceptual experience especially in the concentration grid task under auditory distraction conditions.

We are aware of some critical issues in our design that need to be taken into account in further experiments, and want to highlight three specific aspects. First, the differentiation of dynamic- versus static-sport athletes could be more closely specified. This could be done by examining athletes from different sport disciplines that have different sport-specific structures (e.g., coactive vs. interactive sports). One can, for instance, hypothesize that athletes in coactive sports such as bowling or rowing may differ in their attention ability from athletes of interactive sports such as basketball or soccer due to different task demands. Subsequent analyses could also focus on different team positions, especially in interactive sports. For instance, it is likely that a goalkeeper differs in concentration ability from a playmaker (30,31).

Second, the type of distraction could be more differentiated. Athletes have to deal with different distractions in competition such as comments from the coach and other athletes, or different forms of either expected or unexpected noise. These distractions could have different effects on attention performance. One could, for example, examine the impact on attention performance of different distractions with different structures, such as visual versus auditory distraction with a sport-specific structure versus no structure. One can hypothesize that structured distractions of a sport-specific nature would have no impact on concentration performance at all, because athletes are normally habituated to such distractions. In our study we speculated that the impact of the auditory distraction on the attentional state of the athletes would be to enhance their performance in the d2 test. To control this aspect, measurements of arousal level (e.g., heart rate or galvanic skin response) should be integrated into further studies.

Third, we adopted the concentration grid test as a measure for visual focused attention, because visual focused attention is usually operationalized as visual search (39). Research suggests a close link between working memory capacities and the selectivity dimension of attention (10). We acknowledge that when performing the concentration grid test, a participant could potentially optimize his or her visual search by selectively memorizing the position of stimuli that have to be found after preceding stimuli have been marked. However, participants were not instructed to memorize the position of the stimuli but rather to actively scan the grid and mark as many consecutive numbers (starting from 00) as possible within a 1-min period. Subsequent studies could compare participant’s performance in working memory tests (10), as well as in other tests of visual attention (39), with their concentration grid test scores to evaluate if the concentration grid is more a measure of visual focused attention or working memory.

### Conclusions

The findings of the current study suggest that the results of attention tests should be differentially interpreted if different sport types and different test conditions are considered in the field of applied sport psychology or applied sport science. Their predictive power for sport-specific attention skills, however, may only be seen with regard to different factors such as sport type, environmental context, and task.

### Applications in Sport

There are some practical consequences and implications of this study. First, non-specific concentration tests only seem to be able to differentiate between athletes from more visually dynamic sports and athletes from more visually static sports when they mimic a sport-specific environmental context together with sport-specific demands of the task. Therefore, one may need more specific tests for specific sports to diagnose not only fundamental aspects of attention, but attention abilities on a more strategic level (2). These tests should then be integrated in a systematic talent diagnosis with test norms for specific sports (7). In a talent diagnostic, however, psychological variables remain often unnoticed (1), even if they have been identified as significant predictors of success (27). They could serve as an intrapersonal catalyst in the developmental process of talented youngsters (35). However, their impact on performance may change throughout the development process of the individual. When administering attention tests, this development needs to be taken into account. It is, for instance, questionable whether young gymnasts can be compared to young soccer players in their ability to focus attention, because of different attentional demands in both sports. Second, it would be very useful to conduct longitudinal or to combine analysis of performance in tests with analysis of performance criteria (33). A final issue that should be addressed is the impact of specific interventions on attention performance, especially if attention training is used that is similar to the structure of the concentration test itself (13, 38).

### Acknowledgments

The author thanks Mr. Konstantinos Velentzas and for assistance with data collection and Mrs. Lisa Gartz for her critical and helpful comments on the manuscript.

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### Tables and Figures

#### Table 1
Means (M) and standard deviations (SD) for the concentration-performance scores and the error rate of the d2 test with regard to environmental context and sport type (n=130). The terms of static and dynamic refer to the visual environment in which the athletes from different types of sport usually perform.

Environmental context
Normal Auditory distraction
M SD M SD
Concentration-performance score
Static sports 137.28* 69.26 153.05*+ 73.93
Dynamic sports 138.59* 66.34 153.23*+ 71.05
Error rate
Static sports 11.21 8.79 13.26 10.72
Dynamic sports 9.52+ 9.16 9.36+ 8.72

* p < .05 (according to Tukey HSD post hoc test).
+ p < .05 (according to single sample t-test between the study sample and the corresponding normative sample, cf., 4).

#### Figure 1
![Mean concentration grid performance as a function of sport type and environmental context](/files/volume-14/415/figure1.jpg)
Mean concentration grid performance as a function of sport type and environmental context (error bars represent the standard error of the mean; * = significant difference at p < .05 between experimental and control group according to Tukey HSD post hoc analysis).

### Corresponding Author

Dr. Thomas Heinen
German Sport University Cologne
Institute of Psychology
Am Sportpark Müngersdorf 6
50933 Cologne
GERMANY
Tel. +49 221 4982 – 5710
Fax. +49 221 4982 – 8320
Email: <t.heinen@dshs-koeln.de>

### Author’s Affiliation and Position
German Sport University Cologne, Institute of Psychology

2013-11-25T16:23:44-06:00June 3rd, 2011|Contemporary Sports Issues, Sports Coaching, Sports Management, Sports Studies and Sports Psychology|Comments Off on Do static-sport athletes and dynamic-sport athletes differ in their visual focused attention?

A Study on the Self-Efficacy of Elite Coaches Working at the Turkish Coca-Cola Academy League

### Abstract

As defined by Bandura, self-efficacy is an individual’s belief about her/his ability to perform well in a given situation. The purpose of this study was to determine the levels of self-efficacy amongst elite professional Turkish soccer coaches. One-hundred twenty-three coaches from 41 professional soccer clubs in four different regions of Turkey, training U14 and U15 age groups voluntarily participated in this study. This study used the Coaching Efficacy Scale (CES) comprising four specific efficacies (motivation (ME), game strategy (GSE), teaching technique (TTE) and character building (CBE). According to the total coaching efficacy scale, results suggested that participating coaches’ self-belief in efficacy was at highest levels (M=8.26, SD=.49). Coaches’ self-belief in the sub-scale of character development efficacy was at highest (M=8.60, SD=.54), whereas self-belief in game strategy was at lowest levels (M=8.03, SD=.61). One of the most important findings of the study was that coaches’ self belief in the sub-scale of motivation efficacy differed according to the category in which they work (t=2.049, p<.05). Game strategy efficacy differed significantly according to marital status (t=2.417, p<.05); and type of coaching certificate (t= 2.186, p<.05). A higher degree of self-belief regarding motivation efficacy amongst coaches training young teams compared to professional-level coaches was due to the athletes they worked with. In many cases, it is easier to motivate young players rather than professionals. Coaches’ self-improvement in motivation will definitely have a decisive impact on their success in professional sports.

**Key words:** coaching efficacy, elite coaches, professional sport, soccer

### Introduction

Extensive research about the behavior exhibited by individuals throughout their lives suggests the existence of many factors influencing human behavior. One of these factors is self-efficacy (4,5). The social cognitive theory focuses on how the individual learns new information and behaviors by observing, imitating an individual or by taking the individual as a model (1). This theory suggests that one of the most important roles in the individual expression of personal behavior is the individual’s level of self-efficacy.

First mentioned by Bandura (4), the concept of self-efficacy is defined as one’s belief in his or her own ability to perform a certain type of task. Self-efficacy is specific to a certain task and is dynamic (10,14). In other words, it is open to change over time with new information, experience and learning (14). The individual makes a comparison between expected performance and his or her own capacity (12). In the scope of the concept of self-efficacy, the need for a high degree of self-belief to be successful in a specific behavior stands out as one of the most important factors in exhibiting that behavior.

Sometimes knowledge and skill might not be adequate for successful behavior. On most occasions people may know the correct course of action, yet be unable to act accordingly. Self-efficacy stands out as an important bridge between knowledge and behavior. Personal level of self-efficacy influences an individual’s perspective and behavior toward the action. Positive or negative feedback received by the individual in response to his or her abilities and competence results in the strengthening or weakening of the individual’s own belief in his or her self-efficacy (18). Studies suggest that individuals with high self-efficacy tend to be more resilient in the face of obstacles to accessing sports activities (6). They also have heightened levels of social skills (2) and are more eager to take bigger risks (16,17).

Performance build-up in soccer requires long periods of time. What constitutes the fundamental elements required by soccer training throughout this long process is a topic of enduring discussion (3). The most important issues in this context are accurate organizational structures; correct training models; adequate club facilities; environmental conditions and, maybe more than anything, coaching efficacy. It is stated that the athlete’s learning process becomes much more rapid, efficient and thorough, if the format of competitions and training participated in by children are developed with consideration to their mental, psychological and motor abilities (24). At this point, while it is fundamental for a coach to believe in his or her self-efficacy in the context of building up athlete performance (20), this characteristic demands constant enhancement (19).

Based on the notion that coaches can be perceived as teachers, the Coaching Efficacy Scale (CES), developed by Feltz, Chase, Moritz & Sullivan (8), is the only published scale to date that is used frequently in studies on coaching efficacy (11,16,17). D.L. Feltz, et al., (8) define coaching efficacy as coaches’ self-belief in their capacity to influence an athlete’s level of performance and learning. Consisting of 24 items and four sub-scales, the psychometric characteristics of the scale are supported by exploratory and confirmatory factor analysis (8).

The majority of studies on the topic have been conducted on individuals in the United States. Others include Tsorbatzoudis, Daroglou, Zahariadis & Grouios’s study (22) on professional team coaches in Greece and Gencer, Kiremitci & Boyacioglu’s study (9) on Turkish coaches in the disciplines of basketball, soccer, tennis and handball. This latter concludes validity and reliability findings coherent with Feltz et al.’s study (8). The present study addresses significance in terms of CES examining the self-efficacy levels of Turkish elite professional soccer coaches.

### Method
#### Participants

The study group consisted of 123 coaches working for the U14 and U15 age groups within the Turkish Coca-Cola Academy Leagues, founded in the 2008-2009 soccer season. Coaches actively work for 41 professional soccer clubs distributed amongst five regions established for this league; all participated voluntarily in the study. The sample group participating in the study consisted of males only, with ages varying between 22 and 60 (M=38.6, SD=7.9).

#### Coaching Efficacy Scale (CES)

Data for the study was collected using the Coaching Efficacy Scale (CES) developed by Feltz et.al. (8). Total Coaching Efficacy (TCE) consists of 24 items within four sub-scales including: (a) Motivation Efficacy (ME – 7 items), (b) Game Strategy Efficacy (GSE – 7 items), (c) Teaching Technique Efficacy (TTE – 6 items), and (d) Character Building Efficacy (CBE – 4 items). Items were scored on a 10-point Likert scale ranging from 0 (not at all confident) to 9 (extremely confident), and each item was preceded with a prefix, “How confident are you in your ability to …” The scale contains items such as “How confident are you in your ability to motivate your athletes?” identified by ME; “How confident are you in your ability to understand competitive strategies?” identified by GSE; “How confident are you in your ability to detect skill errors?” identified by TTE; and “How confident are you in your ability to instill an attitude of fair play among your athletes?” identified by CBE.

Scale validity and reliability for the sample of Turkish coaches has been conducted by Gencer et. al. (9). Exactly identical to the original, the Turkish adaptation of the scale, grouped under four sub-scales, reached significantly similar results to the original scale (8) with a variance rate of 59.8%. Although the Cronbach’s alpha coefficients for factors creating the scale were relatively coherent (between .80 and .87) with original scale values, the Cronbach’s coefficient for the entire scale was exactly identical. Values (x2=468,21, df=238, normed chi-square (NC, x2/df)=1.97, p<.05; RMSEA=0.069, S-RMR=0.062, GFI=0.84, AGFI=0.80, CFI=0.91, NNFI=0.89) obtained from confirmatory factor analysis of the scale indicate that the model adapts to data at admissible levels.

### Procedure

Using a face-to-face interview method, researchers personally presented coaches with AYÖ, the Turkish version of the Coaching Efficacy Scale and the scale forms containing questions collecting information on coaches. Researchers provided detailed information to participating coaches about the purpose of the study and how the questionnaire should be completed, although this information was delivered in writing on the documents. Researchers distributed questionnaires on the third day of a training seminar and collected them the same day.

### Data Analysis

Obtained data was subject to t-test using the SPSS 15.0 program in order to clarify whether there was a statistically significant difference between the Total Coaching Efficacy (TCE) and its sub-scales: Motivation Efficacy (ME), Game Strategy Efficacy (GSE), Teaching Technique Efficacy (TTE), and Character Building Efficacy (CBE), or differences among it and age groups, marital status, education level, athletic career, coaching certificate, coaching level and years in coaching. Coaches’ ages, sporting backgrounds and coaching backgrounds were divided in to two groups after taking sample group averages.

### Results

Sample group average age was considered for data analysis and samples were gathered under two age groups, age 39 and less, and age 40 and over. Pursuant to this grouping, 78 (63.4%) of participant soccer coaches were age 39 and under and 45 (36.6%) were age 40 and over. A total of 100 (81.3%) soccer coaches were married and 23 (18.7%) were single. An investigation on coaches’ levels of education indicated that the majority of participating coaches were university graduates (n=77, 62.6%). (Table 1)

All coaches participating in the study played soccer as licensed athletes in their past sports careers. While 47 (38.2%) of the coaches played at an amateur level, 76 (61.8%) of them played at a professional level. An investigation on coaching certificates showed that 87 (70.7%) of the coaches hold UEFA B Licenses while 36 (29.3%) hold UEFA A Licenses. A majority of coaches work for the youth teams of professional soccer clubs (n=95, 77.2%).

Coaches participating in the study had been working in this profession between 1 and 23 years (M=7.87, SD=5.88). The sample group’s average years in the career were considered for data analysis and samples were gathered under two groups; eight years and fewer, and nine years and more. According to this grouping 78 coaches (63.4%) with less than eight years experience, and 45 (36.6%) with more than nine years experience, participated in the study (Table 1).

Coaches’ average belief in self-efficacy was determined to be M= 8.26, SD=.49. The level of Character Building, one of the sub-scales rendering beliefs on self-efficacy, was found to be at highest levels (M=8.6, SD=.54). The Character Building sub-scale was respectively followed by Teaching Technique (M= 8.22, SD= .58), Motivation (M= 8.17, SD= .57) and Game Strategy (M= 8.03, SD= .61) (Table 1).

The t-test results obtained from the study reveal that the efficacy and efficacy-related sub-scales of coaches participating in the study did not differ by age group, level of education, athletic career or years in soccer coaching. However, coaches’ belief in efficacy, when related to the strategy sub-scale, revealed significant difference by marital status (t= 2.417, p=.021) and coaching license (t=2.186, p=.032). Similarly, belief in efficacy when related to the motivation sub-scale differed significantly as well by the category coaches worked in (t= 2.049, p=.046) (Table 1).

Table 2 presents the correlations between total coaching efficacy (TCE) and coaching efficacy sub-scales. Correlations among dimensions of coaching efficacy ranged from 0.46 to 0.80, and correlations of TCE with dimensions of coaching efficacy ranged from 0.75 to 0.92 (Table 2). These relationships are coherent with the hierarchical structure suggested by previous studies (8,16).

### Discussion

Studies have shown that there is a positive relation between individuals’ increasing level of education and occupational efficiency, and that an individual’s contribution to the society was directly proportionate to the level of education. Based on population, Turkey ranked 15th in the world for level of education (7). Approximately 62.6% of coaches participating in our study were university graduates, suggesting that the education levels of these coaches were considerably above the national average.

Besides the high level of education among coaches participating in the study, the fact that most of them (61.8%) had previously played soccer at a professional level, along with the fact that 70.7% held a UEFA B License and 29.3% held a UEFA A License, was perceived as the reason for a considerably high degree of self-efficacy (M=8.26, SD=.49). In 2008, the Turkish Soccer Federation started an initiative to update certificates in accordance with UEFA (Union of European Football Associations) criteria and with this objective gave priority to developing the competence of coaches joining the Turkish Coca-Cola Academy League. Being informed on latest updates and receiving relevant training has contributed positively to the self-efficacy of coaches comprising our study group, and, in comparison with other studies (8,15,23), they presented a higher level of self-efficacy.

When compared to other sub-scales that constitute coaches’ belief in self-efficacy, Character Building was found to be at the highest levels (M=8.6, SD=.54). This finding is supportive of findings from other studies (8, 11, 15, 16, 23) conducted on coaching efficacy. One of the fundamental purposes of establishing the Coca-Cola League was exemplified by the slogan “Good Individual, Good Citizen, Good Athlete.” Bearing this slogan in mind, and considering the group coaches work for, highest levels of perceived self-efficacy in this sub-scale was highly significant. As a matter of fact, Lidor (13) underlined the necessity for ensuring the execution of plans and procedures directed at character-building within sports activities. Considered from a social perspective, character-building is undoubtedly very significant.

The Character Building sub-scale was respectively followed by Teaching Technique (M=8.22, SD=.58), Motivation (M=8.17, SD= .57), and Game Strategy (M=8.03, SD=.61). Mean values determined for these three sub-scales were calculated to be higher than those given in other related studies (8, 11, 15, 16, 23). The positive values, classified under these four sub-scales as the positive values which successful coaches are expected to have, were valuable in terms of their contribution to athletes. Game Strategy-related self-efficacy perception of coaches was identified to be lower than other sub-scales, which is important in regard to game strategy, being a decisive factor in game results.

Obtained t-test results revealed that the efficacy and efficacy-related sub-scales of coaches participating in the study did not differ by age group, level of education, sports career or years in soccer coaching. These findings are unsupportive of Tsorbatzoudis et al.’s finding (22) that, unlike inexperienced coaches, experienced coaches perceive themselves to be technically more competent in terms of coaching experience. However, this condition could be explained by the fact that coaches participating in our study had a higher level of experience. Teams joining the Turkish Coca-Cola League are some of the most elite clubs in Turkey, and these clubs are rigorous in choosing coaches. These two factors were considered to be the reason for such a result.

Coaches’ belief in efficacy related to the GSE revealed significant differences by marital status (t=2.417, p=.021) and coaching certificate ownership (t=2.186, p=.032) (Table 1). Familial responsibilities of married coaches might lead them to believe that they are more competent than do single coaches in the strategy sub-scale. In fact, strategy is very closely related to experience. That coaches with UEFA A License have further experience in the game of soccer than UEFA B License holders might help explain the difference emerging once again in the strategy development sub-scale.

It is interesting to note that belief in efficacy related to the motivation sub-scale differed significantly by the category coaches worked in (t=2.049, p=.046) (Table 1). Youth team coaches having more self-efficacy than professional team coaches in the motivation sub-scale is completely relative to experiences coaches have with soccer players. It is perhaps easier to motivate youth team players aspiring to become professionals for upcoming games than it is to motivate those who have already reached the professional level. Concepts of fame and money that engage in professional sports, after a while, cause a gradual sense of fulfillment, and this presents itself as coaches having difficulty in motivating players. More so, compared with youth team coaches, professional team coaches face further difficulties due to various other responsibilities and diversifying interests of older players. Therefore, considering experiences, it appears logical that youth team coaches perceive themselves to be more competent in terms of motivation than do professional team coaches.

### Conclusion

Besides being well educated, elite soccer coaches participating in the study also had good careers as athletes and coaches, explaining the high degree of self-efficacy among them. It was interesting to see that the degree of GSE, the capacity of directing the team during a game, was higher amongst married coaches than those who were single. It was logical to see a higher degree of GSE in coaches holding a UEFA A certificate compared to UEFA B certificate holders. The most interesting result from the study was the varying degree of motivation among coaches depending on their position. This suggests coaches’ need for knowledge and experience about the concept of motivation increased parallel to the significance of the league they worked for.

### Applications in Sport

Self-efficacy is an effective structure demanding improvement for efficiency from the coach. The fact that this effective structure transforms over time in light of newly acquired information and experiences demonstrates the need for meticulously organized coach training programs and even coach appointments. Respective federations and/or organizations have a great deal of responsibility in this matter.

### Acknowledgments

The author wishes to express his sincere thanks to Assistant Professor Dr. Melih Balyan for his support and cooperation in this study.

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### Tables

#### Table 1. Descriptive statistics of coaches and t-test results related to the Coaching Efficacy Scale

Motivation Efficacy Game Strategy Efficacy Teaching Technique Efficacy Character Building Efficacy Total Coaching Efficacy
n % M SD M SD M SD M SD M SD
Age
39 & less 78 63.4 8.19 .58 8.01 .62 8.28 .60 8.57 .54 8.26 .50
40 & over 45 36.6 8.15 .56 8.06 .60 8.13 .53 8.64 .54 8.24 .48
t-value .420 -.480 1.439 -.763 .171
Marital Status
Married 100 81.3 8.21 .56 8.1 .6 8.26 .54 8.61 .55 8.29 .48
Single 23 18.7 8.03 .61 7.76 .6 8.08 .72 8.52 .51 8.1 .53
t-value 1.264 2.417* 1.121 .759 1.627
Education Level
High school & lower 46 37.4 8.17 .57 8.1 .58 8.23 .56 8.63 .54 8.28 .49
University & higher 77 62.6 8.17 .57 8 .62 8.22 .59 8.58 .54 8.24 .49
Sporting Background
Amateur 47 38.2 8.17 .56 7.98 .58 8.18 .62 8.63 .49 8.24 .47
Professional 76 61.8 8.18 .58 8.07 .63 8.25 .55 8.58 .57 8.27 .50
t-value -.062 -.777 -.593 .537 -.295
Coaching Certificate
UEFA B 87 70.7 8.15 .59 7.96 .62 8.19 .61 8.57 .55 8.21 .50
UEFA A 36 29.3 8.23 53 8.21 .55 8.31 .48 8.66 .50 8.35 .45
t-value -.731 2.186* -1.171 -.883 -1.451
Coaching Level
Youth 95 77.2 8.23 .57 8.03 .61 8.26 .57 8.64 .51 8.29 .48
Professional 28 22.8 7.98 .55 8.04 .61 8.1 .60 8.45 .60 8.14 .50
t-value 2.049* -.009 1.258 1.540 1.389
Coaching Background
8 years & less 78 63.4 8.18 .57 8 .62 8.24 .60 8.57 .57 8.25 .50
9 years & more 45 36.6 8.17 .58 8.1 .58 8.19 .54 8.64 .49 8.28 .47
t-value .087 -.944 .484 -.796 -.337
Total 123 100 8.17 .57 8.03 .61 8.22 .58 8.6 .54 8.26 .49

* p < .05

#### Table 2. Pearson correlations between dimensions of coaching efficacy and total coaching efficacy

Game Strategy Efficacy Teaching Technique Efficacy Character Building Efficacy Total Coaching Efficacy
Motivation Efficacy 0.80 0.74 0.60 0.92
Game Strategy Efficacy 0.71 0.46 0.88
Teaching Technique Efficacy 0.75
Character Building Efficacy 0.75
Total Coaching Efficacy

p < .001

### Corresponding Author

**R.Timucin Gencer, PhD**
University of Ege
School of Physical Education and Sports
Bornova, Izmir, Turkey, 35100
<timucin.gencer@ege.edu.tr>
+90 232 3425714 (office)
+90 532 3030610 (mobile)

### Author Bio

R.Timucin Gencer, PhD, is an assistant professor in the Department of Sport Management at the University of Ege. He played basketball as a professional from 1990-1997. He was also the assistant coach of the Turkish National Basketball Team U-16 men who won the European Championship Title in 2005.

2013-11-25T16:26:52-06:00May 25th, 2011|Sports Coaching, Sports Facilities, Sports Management, Sports Studies and Sports Psychology|Comments Off on A Study on the Self-Efficacy of Elite Coaches Working at the Turkish Coca-Cola Academy League

A New Test of the Moneyball Hypothesis

### Abstract

It is our intention to show that Major League Baseball (MLB) general managers, caught in tradition, reward hitters in a manner not reflecting the relative importance of two measures of producing offense: on-base percentage and slugging percentage.  In particular, slugging is overcompensated relative to its contribution to scoring runs.  This causes an inefficiency in run production as runs (and wins) could be produced at a lower cost. We first estimate a team run production model to determine the run production weights of team on-base percentage and team slugging.  Next we estimate a player salary model to determine the individual salary weights given to these same two statistics.  By tying these two sets of results together we find that slugging is overcompensated relative to on-base percentage, i.e., sluggers are paid more than they are worth in terms of contributing to team runs. These results suggest that, if run production is your objective, as you acquire talent for team rosters more attention should be paid to players with high on-base percentage and less attention to players with high slugging percentage.

**Key words:** Moneyball, strategy, quantitative analysis, economics

### Introduction

It is our intention to show the Major League Baseball (MLB) general managers did not immediately embrace the new statistical methods for choosing players and strategies that are revealed in the 2003 Michael Lewis Moneyball book. In particular we will show that three years after the Moneyball publication, a player’s on-base percentage is still undercompensated relative to slugging in its contribution to scoring runs.  This contradicts a study by two economists (3) who claim Moneyball’s innovations were diffused throughout MLB only one season after the book’s publication.

#### Background

In the 2003 publication of _Moneyball_, Michael Lewis (4) describes the journey of a small-market team, the Oakland Athletics, and their unorthodox general manager, Billy Beane. This team was remarkable in its ability to attain high winning percentages in the American League despite the low payroll that comes with the territory of being a small-market team. Lewis followed the team around to discover how they managed to utilize its resources more efficiently than any other MLB team. Moneyball practice included the use of statistical analysis for acquiring players and for evaluating strategies in a way that was allegedly not recognized prior to 2003 by baseball players, coaches, managers, and fans. Central to this statistical analysis is determining the relative importance of on-base percentage versus slugging percentage. By buying more undervalued inputs of on-base percentage, Billy Beane could put together a roster of hitters that would lead them to more wins on the field while still meeting its modest payroll. Although there are many other aspects of Moneyball techniques discussed in the book (e.g. scouting, drafting players, and game strategy), in this paper we will focus on whether a team can increase its on-field performance for a given budget by sacrificing some more expensive slugging performance for more, but less expensive, on-base performance. This is what we will call the Moneyball test: efficiency in the use of resources requires the equality of productivity per dollar for on-base percentage versus slugging percentage.

Hakes and Sauer (3) were the first researchers to use regression analysis to demonstrate at the MLB level just what Beane and Lewis had suggested: 1) slugging and on-base-percentage (more so than batting average) are extremely predictive in producing wins for a team, 2) players before the current Moneyball era (beginning around 2003) were not paid in relation to the contribution of these performances. In particular, on-base percentage was underpaid relative to its value. They used four statistics to predict team wins: own-team on-base percentage, opposing-team on-base percentage, own-team slugging percentage, and opposing-team slugging percentage. The regression coefficients for the team on-base percentage and slugging percentage assign the weight each factor has in determining team wins. A second regression for player salaries assigns a dollar value to each unit of a hitter’s on-base percentage (OBP) and slugging percentage (SLUG). The following statistics were used in player salary equation: OBP, SLUG, fielding position, arbitration and free agent status, and years of MLB experience. They estimated salary models each year for the four MLB seasons prior to the release of the _Moneyball_, and the first season after. The regression coefficients of OBP and SLUG assign the weight each factor has on player salary. By comparing the salary costs of OBP versus SLUG with the effect each factor has on wins the authors determined whether teams are undervaluing OBP relative to SLUG. Their results showed that in the years before the _Moneyball_ book, managers/owners undervalued on-base percentage in comparison to slugging average. In other words, a team could improve its winning percent by trading some SLUG inputs for an equivalent spending on OBP inputs. However, the year after the publication of the _Moneyball_ book, Hakes and Sauer report that on-base percentage was suddenly no longer under-compensated. A team could no longer exploit the higher win productivity per dollar of OBP because now the ratio of win productivity to cost was the same for both OBP and SLUG factors. They concluded that this aspect of Moneyball analysis was diffused throughout MLB.

The speed of this diffusion is surprising, and it does raise questions as to their methodology. For example, what if this test of the Moneyball hypothesis is misdirected? Hitters are paid to produce runs, not wins. A mis-specified statistical model can lead to erroneous conclusions. In this paper we propose a more direct test of the Moneyball hypothesis: comparing the run productivity per dollar of cost for both OBP and SLUG factors. In other words, will an equivalent dollar swap for a small increment of slugging percentage in return for a small increment of on-base percentage lead to the same increase in runs scored? If this is not the case, then a team can exploit this difference and score more runs for the same team payroll by acquiring more units of OBP in place of SLUG units. On the other hand, if the ratios are equal, MLB is in equilibrium with respect to the run productivity for the last additional units of OBP and SLUG.

### Methods

This study differs from Hakes and Sauer in three ways: 1) the focus is on run production rather than win production, 2) the designated hitter difference between the National League and the American League will be controlled, and 3) more recent data from the MLB website is used.

#### Team Run Production Model

An MLB general manager should attempt to gain the most effective combination of the on-base and slugging attributes given the amount of money the MLB team is able to spend. This will maximize the team’s run production subject to its budget constraint. The run production model on a team basis will be of the form:

RPSit = β1 + β2OBPit + β3SLGit + β4NL + eit

– RPSit = **number of runs produced by team i in season t.** This takes the total number of runs by each team for the 162 games in a season. If fewer than 162 games are played, this number is adjusted to make it equivalent to a 162 games season.
– OBPit = **on-base percentage of team i in season t.** This is found by taking the total number times the hitters reached base (or hit a homerun) on a hit, walk, or hit batsman and dividing this by the number of plate appearances (including walks and hit batsmen) for the season. This proportion is then multiplied by 1,000 in order to make it more relatable. For example, a team that reached base 350 times per one thousand plate appearances would have a 350 “on-base percentage.”
– SLGit = **slugging percentage of team i in season t.** This is the number of bases (single, double, triple, or home run) that a team achieves in a season divided by the number of at bats (excluding walks and hit batsmen). This proportion is multiplied by 1,000 in order to make it more relatable. For example, a team that achieved 175 singles, 40 doubles, 5 triples and 35 homeruns per 1000 at bats would have 410 bases per 1000 at bats and therefore a 410 “slugging percentage.”
– NLi = **dummy variable = 1 if team i is in the National League, 0 otherwise.** The American League and National League do not have exactly the same set of game rules. One difference is the American League Designated Hitter rule that allows a non-fielding hitter to bat for the pitcher.
– eit = **random error for team i in season t.** This component allows for the fact that runs produced cannot be perfectly predicted using the above variables.

#### Player Salary Model

The second regression will show how much each of the two statistics, on-base percentage and slugging percentage for individual players, is rewarded by team management for their proficiency in each category. Position dummies were employed but only the catcher and the shortstop had statistically significant increases in pay due to their contributions to fielding. The other dummy variables for position were dropped. The other factor that is included is player experience as measured by lifetime MLB game appearances. The experience factor will appear in quadratic form to allow for diminishing returns toward the end of the player’s career. This model follows the economic literature on salary models starting with Mincer (1974):

Mj = β1 + β2Gj + β3G2j + β4OBPj + β5SLGj + β6CTj + β7SSj + ei

– Mj = **salary of player j.** 2006 MLB salary in thousands of dollars.
– Gj = **MLB career games played by player j.** This measures the improvement in a player due to experience.
– Gj2 = **MLB career games squared.** In conjunction with G, a negative coefficient for G2. This will allow for a diminishing rate of improvement as more and more experience is achieved, and will even permit a decline in performance at the end of a player’s career.
– OBPj = **on-base percentage of the player.** This is compiled as an average of the 3 MLB seasons prior to the beginning of the season in which the player’s salary is put into effect (2003-2005).
– SLGj = **slugging percentage of the player.** This is compiled as an average of the 3 MLB seasons prior to the beginning of the season in which the player’s salary is put into effect (2003-2005).
– CTj = **dummy variable = 1 if the player is a catcher, 0 otherwise.** This variable is included to see if any special value is attributed to this fielding skill position.
– SSj = **1 if the player is a shortstop, 0 otherwise.** This variable is included to see if any special value is attributed to this fielding skill position.
– NLi = **dummy variable = 1 if player j is in the National League, 0 otherwise.**
– ei = **random error.** This component allows for the fact that player salaries produced cannot be perfectly predicted using the above variables.

#### Sample Selection

For the team run production, five seasons of data (2002-2006) are collected for each of the MLB teams, for a total sample size of 150 observations. Descriptive statistics for five years of 16 National League teams and 14 American League teams are given in Table 1. The mean runs scored per team during this time period is 765 per season, or 4.7 per game. The standard deviation is 76 runs, which is saying that from one team to the next the typical difference in runs per season is 76 or about 0.5 runs per game. Of particular note are the means and standard deviations of on-base percentage and slugging percentage. The mean team OBP is 334, with a typical change from one team to another of 12. For SLUG the mean is 423 and the standard deviation is 23.5.

Batting statistics from players are averaged over the course of the last three MLB seasons in order to match recent performance and salary more closely. To be selected as a player in the salary regression, the athlete must play in at least two of the last three MLB seasons (2003-2005) and play in at least 100 games each season. Another important restriction was that all players in the sample needed to have played at least six seasons at the Major League level. Before six seasons, MLB players are unable to become free agents, a very important concern for their salary. As free agents, players are permitted to seek employment from any team, commonly resulting in competitive bidding for the player’s services and a free market determination of wages. With this we have our sample of 154 hitters (free agent eligible starting players). The 2006 salaries of players and their three year MLB performance averages (prior to 2006) are given in Table 2. The highest salary in the sample is $25,681,000 and the lowest is $400,000. The mean salary is $6.2 million with a standard deviation from one player to the next of $4.89 million. The mean OBP for the players is 347, with a typical change of 34 from one player to the next. The average SLUG is 450 with a standard deviation of 65.5.

### Results and Discussion

#### Team Run Production Model

Applying ordinary least squares, the following team runs regression was estimated for the five seasons:

RPS = -908 + 2.85 OBP + 1.74 SLG – 23.0 NL + e

In Table 3 the more statistical details for the above equation (Model 1) and other versions of the run production model are shown. Model 1 is the one used in the Moneyball hypothesis, and it explains 92 percent of the variance in team runs scored. This verifies that team OBP and SLUG are extremely predictive of team runs scored. It should also be noted that the runs scored equation fit is better than the one Hakes and Sauer have for their winning equation. Model 2 drops the dummy for the National League and Model 3 adds interaction terms of NL with OBP and SLG. The differences from the first model are small. This sensitivity analysis confirms that Model 1 is the most appropriate.

We will now interpret each slope coefficient in Model 1, holding the other included factors constant. A 10 unit change in team OBP (e.g., going from 330 to 340), brings an additional 10(2.85) =28.5 team runs scored per season, on the average. A 10 unit change in SLUG brings a 10(1.74) = 17.4 more runs, on the average. Each regression coefficient, including the one for NL, is statistically significant at a 1% level. This identifies the relative importance of each hitting factor. For an incremental 10 unit change, getting on base more frequently has a bigger impact on scoring runs than getting more bases per hit. What is needed now is a determination of what these factors cost the team in salary.

#### Player Salary Model

Applying ordinary least squares the following player salary regression was estimated for the 156 starting free agent players in 2006:

SAL = -30164 + 10.28 G – 0.00321 G2 + 37.05 OBP + 36.98 SLG + 1748.1 CT + 2024.87 SS – 876.96 NL + e

In Table 4 the more statistical details for the above equation (Model 4) and other versions of the player salary model are shown. In Model 4 we see the estimated coefficients from the player salary model—the one used in the subsequent test for the Moneyball hypothesis. This model explains 55% of the variance in salaries, roughly the same as the salary equations for Hakes and Sauer. In Model 5 the NL dummy is removed, and in Model 6 the position dummies are removed. There were only small changes in the remaining coefficients compared to Model 4. This sensitivity analysis confirms that Model 4 is the most appropriate.

We will now interpret each slope coefficient of Model 4, holding the other included factors constant. A 10 unit change player’s OBP for increases 2006 salary on average by 37.05(10) = 370.5 ($370,500), and 10 unit increase in a player’s SLUG increases salary on average by 36.98(10) = 369.8 ($369,800). The coefficients for G and G2 show that experience increases salary at a decreasing rate. Both the catchers and shortstops earn higher salaries, holding OBP and SLUG constant, than the other fielding positions. The experience and hitting coefficients are statistically significant at a 1% level. The position dummies are statistically significant at a 5% level. The NL dummy is statistically significant at a 10% level.

#### The Moneyball Hypothesis

In the _Moneyball_ book small market teams like the Oakland Athletics can compete against larger market teams if they can acquire run production factors that provide more runs per dollar spent. This occurs when OBP is undervalued relative to SLUG. To see if this is the case in 2006 we will compare the two main models (Models 1 and 4). A 10 unit increase in team OBP is brings an additional 28.5 runs and a 10 unit increase in team SLUG yields an additional 17.4 runs. The salary equation reveals that a 10 unit increase in individual OBP costs $370,500, and a 10 unit increase in individual SLUG costs $369,800. At essentially the same increase in team salary (at the player level) an increase in OBP brings in 11.1 more runs than SLUG. This means that teams can achieve a higher run production at essentially the same cost by swapping 10 units of SLUG for 10 units of OBP. The ratio of run production to cost favors OBP. The Moneyball hypothesis of slugging percentage being overvalued relative to on-base percentage remains in effect three seasons after the _Moneyball_ book.

Why did our results differ from Hakes and Sauer, who argue that slugging was no longer overvalued one season after the _Moneyball_ book? We repeat our differences in methodology here: 1) using a run production model instead of a winning production model because players are paid to produce runs, not wins; 2) including a variable to differentiate the National League from the American League; and 3) using more recent data.

### Conclusions

In this paper we propose a new test of the Moneyball hypothesis using team run production in place of team wins. We clearly show that in producing runs baseball managers continue to overpay for slugging versus on-base percentage. In the 2006 MLB season, for the same payroll, a team could generate more runs by trading some SLUG for OBP. The question is, why don’t general managers recognize these results in their roster and payroll decisions? We propose several possible reasons:

1. Only small revenue market teams need to be efficient in their labor decisions.
2. Sluggers are paid for more than just their ability to score runs.
3. Moneyball techniques will take time before all teams adopt them.

Each of these answers will now be discussed. Large-revenue market teams are profligate partly in response to the pressure they feel by the fan base to produce a winner at whatever cost. By acquiring well-known free agents at high cost rather than bargain free agents who are not recognized by home fans seems a safe way to operate, even if it cuts into some profits. These well-known players tend to be the sluggers. The second reason for slugger overcompensation is that they are crowd-pleasers, and it may be more profitable (higher gate attendance and television viewership) to have more homerun hitters. This study does not attempt to measure this alternative hypothesis. Finally, Hakes and Sauer believed equilibrium between OBP and SLUG in the player market occurred in just one year after the _Moneyball_ book was published, but it is doubtful such innovation can spread throughout MLB so quickly.

> “Given the A’s success, why hasn’t a scientific approach come to dominate baseball? The answer, of course, is the existence of a deeply entrenched way of thinking….Generally accepted practices have been developed over one-and-a-half centuries, practices that are based on experience rather than analytical rigor.” (1, p. 80)

The behavioral patterns in MLB change slowly. For example, it took twelve years after Jackie Robinson joined the Brooklyn Dodgers before every team in MLB acquired African-American players on their roster, despite the large pool of talent in the Negro Leagues. The slow pace of diffusion can also be claimed for the more recent immigration of Asian players in MLB. And more to the point, batting average still receives more attention than on-base percentage in the evaluation of talent.

Finally, the adoption of Moneyball is not limited to baseball. General managers in hockey (6), basketball (8), football (5), and soccer (2) are beginning to see the same advantages in using statistical analysis to supplement or replace conventional wisdom in making decisions on personnel and strategy. Despite the Oakland Athletics’ more recent lackluster performance, Moneyball is here to stay.

### Applications in Sport

The increased use of quantitative analysis in the coaching and management of sports teams allows colleges and professional teams to make decisions based more on data driven results rather than merely tradition. “Moneyball” is often the term used to convey this decision-making apparatus, particularly when money resources, if allocated efficiently, can improve on-field performance (scoring, wins) on a limited budget.

The advantage of adopting Moneyball techniques before your rival teams may be short term, however, widespread adoption eliminate opportunities (e.g., acquisition of under-rated players) that are not also seen by other teams in your sport. But this study shows that the diffusion of Moneyball techniques is taking place slowly, creating advantages for managers who are open to this approach.

### References

1. Boyd, E. A. (2004). Math works in the real world: (You just have to prove it again and again). Operations Research/Management Science, 31(6), 81.
2. Carlisle, J. (2008). Beane brings moneyball approach to MLS. ESPNsoccer. Retrieved from <http://soccernet.espn.go.com/columns/story?id=495270&cc=5901>
3. Hakes, J. K., and R. D. Sauer (2006). An economic evaluation of the moneyball hypothesis. Journal of Economic Perspectives, 20, 173-185.
4. Lewis, M. (2003). Moneyball: the art of winning an unfair game. New York: W.W. Norton & Company.
5. Lewis, M. (2008) The blind side. New York: W.W. Norton & Company.
6. Mason, D. S. and W. M. Foster (2007). Putting moneyball on ice? International Journal of Sport Finance, 2, 206-213.
7. Mincer, J. (1974). Schooling, experience, and earnings. New York: Columbia University Press.
8. Ostfield, A. J. (2006). The moneyball approach: basketball and the business side of sport. Human Resource Management, 45, 36-38.

### Tables

#### Table 1. Descriptive Statistics for the Team Run Production Sample

RPS OBP SLG NL
Mean 765.04 332.927 423.27 0.53
Median 760.34 332.000 423.00 1
Standard Deviation 76.43 12.168 23.52 0.50
Range 387.00 63.000 123.00 1
Minimum 574.00 300.000 368.00 0
Maximum 961.00 363.000 491.00 1
Count 150 150 150 150

#### Table 2. Descriptive Statistics for the Player Salary Sample

G OBP SLG NL CT SS
Mean 1146.1 347.3 450.0 0.552 0.130 0.12
Median 1070.5 346.5 446.5 1 0 0
Standard Deviation 462.1 34.0 65.5 0.499 0.337 0.322
Range 2345.0 237.9 432.0 1 1 1
Minimum 385.0 276.1 310.7 0 0 0
Maximum 2730.0 514.0 742.7 1 1 1
Count 154 154 154 154 154 154

#### Table 3. Coefficients for the Team Run Production Models

MODEL 1 MODEL 2 MODEL 3
Variable Coefficient s t Stat Coefficient s t Stat Coefficient s t Stat
Intercept -908.00*** -17.16 941.72*** -18.46 -861.67*** -13.73
OBP 2.85*** 11.21 2.69*** 13.22 2.86*** 10.26
SLG 1.74*** 15.42 1.92*** 15.30 1.62*** 10.37
NL -23.00*** -6.26 -134.3* -1.34
(NL)(OBP) 0.275 1.06
(NL)(OBP) 0.241 0.06
Adj. R-Squared 0.921 0.900 0.923
F 568.9 661.6 343.3

*** .01 level ** .05 level * .10 level

#### Table 4. Coefficients for the Player Salary Models

MODEL 1 MODEL 2 MODEL 3
Variable Coefficient s t Stat Coefficient s t Stat Coefficient s t Stat
Intercept -30164*** -9.38 -30952*** -9.67 -27182.6*** -8.73
G 10.28*** 4.21 10.24*** 4.18 9.75*** 3.95
G2 -0.00321*** -3.67 -0.00323*** -3.68 -0.00304*** -3.42
OBP 37.05*** 3.32 38.08*** 3.39 35.30*** 3.10
SLG 36.98*** 6.47 37.01*** 6.43 33.58*** 5.88
CT 1748.10** 2.14 1798.21** 2.19
SS 2024.87** 2.34 2048.73** 2.35
NL -876.96* -1.65 -929.14* -1.71
Adj. R-Squared 0.557 0.552 0.532
F 28.48 32.39 44.44

*** .01 level ** .05 level * .10 level

### Corresponding Author

#### Thomas H. Bruggink, Ph.D.
Department of Economics
Lafayette College
Easton PA 18042
<bruggint@lafayette.edu>
610-330-5305

### All Authors

#### Anthony Farrar
Brinker Capital
Berwyn, PA

#### Thomas H. Bruggink
Lafayette College
Easton, PA

2013-11-25T16:28:11-06:00May 20th, 2011|Contemporary Sports Issues, Sports Coaching, Sports Management|Comments Off on A New Test of the Moneyball Hypothesis

Raising Awareness of the Severity of Concussions

### Abstract

Concussions have always been a part of physical contact sports, but with athletes becoming bigger and stronger, something has to be done to raise awareness of the severity of concussions and what can happen later down the road if athletes are not given the adequate amount of time to recover. The National Football League has already put regulations on how long a player has to stay out after receiving a concussion and has started fining athletes that deliberately use helmet-to-helmet contact on an opposing player; the National Collegiate Athletic Association has started neurological testing to track a concussed athlete’s progress and have revised the guidelines on not letting athletes return to play the same day and having mandatory check-ups; but high schools have very few regulations to follow. A concussion is the same whether it happens to a pro player or a high school player, so why do the professional players take precedence over high school athletes? Changes need to be made so all athletes are cared for.

**Key Words:** concussions, helmet-to-helmet contact, National Football League, National Collegiate Athletic Association, neurological testing

### Introduction

Owen Thomas, junior lineman for University of Pennsylvania, Andre Waters, former Philadelphia Eagles safety, Chris Henry, the Cincinnati Bengals wide receiver and Chris Beniot, a pro wrestler; these men have been successful athletes, but that all changed after receiving countless blows to the head. They, as well as many others, have been diagnosed with Chronic Traumatic Encephalopathy (CTE), which according to the Center for the Study of Traumatic Encephalopathy is a progressive degenerative disease of the brain found in athletes and others, with a history of repetitive concussions. The brain degeneration is associated with memory loss, confusion, impaired judgment, paranoia, impulse control problems, aggression, depression, and, eventually, progressive dementia (2). After death, these four athletes had tissue from their brain examined, where each had evidence of CTE.

Helmet-to-helmet hits are becoming more aggressive, take for example the hit that Kevin Everett experienced in 2007, or the hit that Josh Cribbs received from James Harrison, and the memorable hit of Eric LeGrand that left him paralyzed from the neck down. Because of this the National Football League (NFL) and the National Collegiate Athletic Association (NCAA) have recently implemented rules to protect players from injuries that occur through these hits, but what about the high school athletes? The University Interscholastic League (UIL), which is the governing body of high school athletics in Texas, has started to take steps in changing the policies and guidelines that are currently being followed, but that isn’t enough.

#### National Football League

The new guidelines for the NFL provide more specificity in making return-to-play decisions. The new statements advise that a player who suffers a concussion should not return to play or practice on the same day if he shows any signs or symptoms of a concussion that are outlined in the return-to-play statement. It continues to say the player shouldn’t return to play until they have had neurological and neuropsychological testing completed and have been cleared by both the team physician and an independent neurological consultant (1). It is also outlines that if an athlete has symptoms of loss of consciousness, confusion, gaps in memory, persistent dizziness, headache, nausea, vomiting or dizziness, or any other persistent signs or symptoms of concussions the athlete should be removed from all activities (1).

#### National Collegiate Athletic Association

According to the NCAA a concussion is a brain injury that may be caused by a blow to the head, face, neck, or elsewhere on the body with an “impulsive” force transmitted to the head (9). An athlete doesn’t have to lose consciousness after a concussion occurs, but there are two things that a coach and athlete need to watch for: a forceful blow to the head or body that results in rapid movement of the head, and any changes in the student-athlete’s behavior, thinking or physical functioning. Some of the signs and symptoms that have been observed by both the coaching staff and student athletes consist of the student-athlete appearing dazed and confused, forgetting plays and being confused about assignments, while they have a headache, feel nauseated, confused, and are sensitive to light and noise (9).

After meeting, the NCAA committee that is responsible for recommending rules and policies made revisions on the previous guidelines found in the NCAA Medicine Handbook that all sports followed on concussion management. These revisions emphasize not letting a student-athlete return play the same day after a long duration of significant symptoms, and if the symptoms continue the athlete should not participate until cleared by a physician (3).

The NCAA wants all coaching staff and student-athletes to have full awareness of the severity of concussions, in doing so they have produced fact sheets for both, which recommend that athletes not hide it and that they tell the athletic trainer or coach so they can receive the proper treatment, and take time to recover. Just like every other injury, a concussion needs time to heal, and repeated concussions can cause permanent brain damage, and even death (9).

For Tarleton State University, located in Stephenville, Texas, neuropsychological testing is being done using ImPACT, which measures athlete’s attention span, working memory, sustained and selective attention time, response variability, non-verbal solving, and reaction time. ImPACT also provides computerized neurocognitive assessment tools and services that are used by coaches, athletic trainers, doctors, and other health professionals to assist them in determining if an athlete is able to return to play after suffering a concussion (6). Athletes start out taking the test to set a base line, they are asked demographic information and health history, what their current symptoms are, then take the neuropsychological test, which measures athlete’s attention span, working memory, sustained and selective attention time, response variability, non-verbal solving, and reaction time with six different modules that are labeled as Word Memory, Design Memory, X’s and O’s, Symbol Matching, Color Matching, and Three Letter Memory, they then get the injury report, and the ImPACT test scores (6). ImPACT is being used by the U.S. Army, professional teams, sports medicine centers, neuropsychology clinics, doctors, colleges, high schools, and club teams all across the United States, as well as Canada and Internationally. Tarleton State University has also required full participation of their athletes by informing them of concussions and having them sign an injury acknowledgement form, stating that they will be an active participant in their own healthcare. Tarleton has also stepped up in making the academic department aware of the severity of a concussion by producing information sheets that state the signs and symptoms, how a person recovers, and what a person with a concussion should and shouldn’t do.

#### High School

According to USA Today only Texas, Oregon, and Washington have enacted laws, all since 2007, to meaningfully tackle the issue. Oregon and Texas require athletes to be removed from play the day of the injury, while Washington gives coaches responsibility for removal (12). But still the UIL leaves it open for an athlete to return to play in the same day, if the athlete hasn’t lost consciousness and concussion symptoms are resolved within 15 minutes; and like its heat guidelines, concussion protocol is merely a set of recommendations and isn’t enforced. According to the Dallas News, fifty-three percent of public schools in Texas and about ninety-three percent of private schools don’t have a full-time certified trainer on staff, and thirty-three percent of public school and eighty-seven percent of private schools don’t have weekly access to a certified trainer (4).

### Conclusion

The awareness of concussions has started to make its way to the top, according to the Fort Worth Star-Telegram the UIL and state education commissioners are currently working on approving that “Texas public high school athletes who get a concussion wouldn’t return to play until the next day, at the earliest, and a licensed healthcare professional would have to approve any return to play (7).”

With the number of athletes in public and private schools in Texas, and all across the United States, why has the issue of concussions not been dealt with before now? For fear of losing playing time there are fewer occurrences reports, but the long-term effects need to be stressed to all student-athletes. Not only athletes, but coaches, athletic trainers and parents need to be informed of the side effects that can happen if a concussion is not reported. Making it mandatory to do testing through concussion-based programs, like ImPACT, could be the first step in raising awareness and helping to give the adequate amount of time to recovery for those athletes who are injured.

### Applications in Sports

Everyone involved in contact sports, including coaches, athletic trainers, athletes, and parents, needs to know the severity of concussions. Many studies have shown what can happen if athletes don’t receive the adequate amount of time to heal after receiving a concussion, but compared to professional athletes there is little that is being done at the high school level to help with these recovery periods. Parents want to make sure their child is being cared for, while coaches have guidelines to follow to make sure their athletes makes a complete recovery, so following the footsteps of professionals and updating concussions guidelines can help in making sure everyone is taking the appropriate steps when a high school athlete has received a concussion.

### Acknowledgements

I would like to thank Dr. Kayla Peak, the Director of the Graduate Program at Tarleton State University, for assisting in the development of this article.

### References

1. (2010). NFL issues stricter guidelines for returning to play following concussion. E-Journal of The Sports Digest. Retrieved from http://www.thesportdigest.com/

2. Center for the Study of Traumatic Encephalopathy, About CTE. (n.d.) What is CTE. Retrieved from http://www.bu.edu/cste/

3. Copeland, Jack. (2009). Safeguard committee acts on concussion-management measures. Retrieved from National Collegiate Athletic Association website: http://www.ncaa.org

4. George, Brandon. (2010, August 1). Hidden dangers: concussions in high school sports. The Dallas Morning News. Retrieved from http://www.dallasnews.com/sharedcontent/dws/spt/stories

5. George, Brandon. (2010, August 2). Texas’ UIL falls behind on concussion policy. The Dallas Morning News. Retrieved from http://www.dallasnews.com/sharedcontent/dws/spt/stories

6. ImPACT-Testing and Computerized Neurocognitive Assessment Tools, About ImPACT. (n.d.) Overview and Features of the ImPACT Test. Retrieved from http://impacttest.com/

7. McCrea, Michael, Hammeke, Thomas, Olsen, Gary, Leo, Peter, & Guskiewicz, Kevin. (2004).Unreported concussions in high school football players. The Clinical Journal of Sports Medicine, (14)1, 13-17. Retrieved from http://journals.lwwlcom/cjsportsmed

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9. NCAA, Student-Athlete Experience, Student-Athlete Well-being, Concussions. (n.d.). Fact Sheet for Coaches. Retrieved from http://www.ncaa.org

10. NCAA. Student-Athlete Experience, Student-Athlete Well-being, Concussions. (n.d.). Fact Sheet for Student-Athletes. Retrieved from http://www.ncaa.org

11. Schwarz, Alan. (2010, September 13). Suicide reveals signs of a disease seen in the N.F.L. The New York Times. Retrieved from http://nytimes.com

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### Corresponding Author
Lindsey Neumann
445 Oak Springs Drive
Seguin, Texas 78155

<lindseyneumann@hotmail.com> 830-305-4312

### Author Bio
Lindsey Neumann is a graduate student studying Kinesiology at Tarleton State University in Stephenville, Texas.

2015-11-06T20:22:56-06:00April 19th, 2011|Contemporary Sports Issues, Sports Coaching, Sports Management, Sports Studies and Sports Psychology|Comments Off on Raising Awareness of the Severity of Concussions

Effect of dynamic versus static stretching in the warm-up on hamstring flexibility

Gayle Silveira, Mark Sayers, Gordon Waddington – Department of Health, Design and Science, University of Canberra

### Abstract

Recent studies have questioned the benefits of static stretching in the sports warm-up. The purpose of our research was to examine the acute effect of static and dynamic stretching in the warm-up, on hamstring flexibility using an intervention study design. Hamstring flexibility was measured using modifications of the Straight Leg Raise test to measure hip flexion range of motion in degrees. The reliability of the test setup was determined in a separate study (n=33), the results of which were also utilised to establish the relationship between static and dynamic SLR tests. There was a significant difference between flexibility measured by the Static-passive and the Dynamic-supine SLR test (p < .05); hence, these were utilised to assess static and dynamic flexibility, respectively, in the intervention study.

Twelve participants were randomly assigned to three interventions of 225 secs. stretch treatment on separate days: No stretching (Treatment 1), Static stretching (Treatment 2) and Dynamic stretching (Treatment 3) in a cross-over study design. When static stretching was included in the warm-up, there were statistically significant differences in pre and post static flexibility (t (11) = 4.19, p < .05). However, there was no significant difference in pre and post dynamic flexibility (t (11) = 0.72, p >.05). Following dynamic stretching there was a statistically significant improvement in both static (t (11) = 2.62, p <. 05) and dynamic (t (11) = 5.69, p < .05) flexibility. Non-parametric tests carried out on the data to corroborate the aforementioned findings.

Static stretching did not improve dynamic hamstring flexibility; however, dynamic stretching improved both dynamic and static flexibility. This has implications for the specificity of stretching in sport.

**Key words:* Range of Motion, hamstring, joint flexibility, Lower extremity, resting tension, stretching

### Abbreviations

ROM
range of motion
SPH
static passive hamstring flexibility test
DSUH
dynamic supine hamstring flexibility test
DSHWB
dynamic standing hamstring flexibility test with knee brace
DSHNB
dynamic standing hamstring flexibility test without knee brace (no brace)
SAID
Specific adaptation to imposed demands

### Introduction

Dynamic stretching consists of simulating movements that are representative of those frequently used in a particular sport (22). Examples of dynamic stretching include the toe walk, heel-walk, hand-toe hamstring stretch, military-walk, sumo groin stretch, and quadriceps kicks (31). In 1996, Alter (2) described a principle put forward by Wallis and Logan in 1964 for strength, endurance and flexibility training, called specific adaptation to imposed demands (SAID). “One should stretch at not less than 75 percent of maximum velocity through the exact plane of motion, through the exact range of motion, and at the precise joint angles used while performing skills in a specific activity” (2). The aforementioned principle lends support to the concept of dynamic flexibility training. There is a lack of studies that examine the effect of dynamic stretching on static as well as dynamic flexibility in the period preceding competition i.e. in the warm-up phase.

Numerous studies in recent literature examine the effects of static stretching on various performance variables (29, 37). In their 2006 study, Behm et al. (6) found decrements in knee extension, knee flexion, drop-jump contact time and counter movement jump height following an acute bout of static stretching. The analysis of the relationship between static stretching and performance focuses mainly on the variables of strength and power (30). Their study demonstrates that static stretching lowers the maximal strength of the knee flexors and extensors and may even hamper performance of activities involving maximal force output. If increased musculotendinous stiffness enables more efficient transmission of force, stretching just prior to activity might also decrease force output in skills such as jumping to attain maximum height and forceful throwing (12). Even a moderate duration of static stretching could result in quadriceps isometric force and activation decrements (33). Furthermore, it is theorised that this impairment of isometric force production could last for a period of up to 120 minutes.

The purpose of our research was to examine the acute effect of static and dynamic stretching in the warm-up, on hamstring flexibility using an intervention study design. The reliability of the experimental setup was established in a separate study (n=33) that was used to determine the relationship between the tests that measured static and dynamic hamstring flexibility. Analyses of variance and correlation analyses were computed on the collated data. An intervention design was used to determine how an acute bout of static or dynamic stretching affected hamstring flexibility as measured by a modified SLR test. Parametric (t-test) and non-parametric tests (Wilcoxon Matched-Pairs Ranks) were carried out to analyse the raw data.

### Method

#### Participants

Sixteen university students (n = 16) were recruited for the intervention study to examine the effects of dynamic and static stretching on hamstring flexibility. The final sample consisted of 12 students of which five females and seven males served as participants. Two potential participants did not complete all testing sessions and two participants’ data was excluded from the study due to measurement error. The average age of the participants was 24.8 ± 6.8 yrs. (mean ± SD). The average height and weight was 174.5 ± 4.5 cm. and 73.0 ± 15.7 kg. respectively (mean ± SD).

Participants were drawn from a variety of sporting backgrounds which predominantly involved the lower body (42). Most were actively training for a sport. All trained lightly a minimum of three times a week. A condition of entry to the study was that the subjects did not concurrently use any stretch or flexibility training in their regular training program (41). Screening questionnaires were provided to identify subjects with neurological or musculoskeletal abnormalities of the spine and lower limbs. Subjects were examined to determine hip, knee and ankle ROM and a brief examination of the lumbar spine was performed. The final participants were free of any bony or soft tissue injury to the spine and lower limbs. The participants were asked to carry out routine activities and not to exercise strenuously (10). They were also advised not to stretch the hamstrings and avoid initiating or changing any exercise program during the study (35).

All participants provided their written informed consent to participate in the study. Hamstring flexibility was measured in the dominant leg (19), identified by kicking a football towards a wall five times (11). This study received approval from the human ethics committee of the University of Canberra.

#### Materials and Procedure

Reflective markers attached to specific bony prominences utilised for biomechanical analysis (Figure 1). The functional orthopaedic knee brace, Knee Ranger II Universal (dj Orthopaedics, LLC, California, USA) helped to maintain 15º of knee flexion during pre and post-testing. Participants wore the knee brace only during testing and not whilst performing the intervention stretches. The Velcro strapping on the brace eased the removal and fastening process considerably. A warm-up consisting of five minutes of cycling on a stationary cycle ergometer (Exertech, Australia) at 60-70 W (6, 42) was employed. Testing was carried out at around the same time of the day for each participant involved in the intervention study (41). There was no stretching incorporated in the warm-up.

#### Modified SLR test for measuring hamstring flexibility

Previous studies examining stretch and contraction specific changes in ROM utilise the hamstring muscle group most frequently in humans and the SLR test is the most commonly used test (17). The contralateral or non-testing leg was partially flexed at the hip and knee, with a pillow rolled underneath the knee to stabilise the pelvis (11). A Velcro strap fastened around the pelvis and secured beneath the exercise bench to minimise pelvic rotation. In 1982, Bohannon (7) suggested that the pelvis and the contralateral thigh should be maintained in neutral position to decrease contribution to SLR-ROM. During testing, the participant was advised not to lift the upper body off the bench, and the arms were folded across the chest or placed beneath the head. This minimised the contribution from the trunk towards the effort of hip flexion.

The experimental setup included a camcorder placed perpendicular to the plane of motion. The camcorder was mounted on a tripod and placed at a distance of 10 metres from the test area (Figure 1). A PAL digital video camera (Canon MVX3i, Canon Inc., Japan) operating at 50Hz was used to video the participants performing the various flexibility tests. Dartfish ProSuite (Dartfish Connect 4.0, Dartfish Ltd., Fribourg, Switzerland) was used to capture the video data from the camera to a computer for two-dimensional analysis.

#### Measuring Flexibility

After the warm-up period, participants (n=12) undertook static passive (SPH) and dynamic supine hamstring flexibility (DSUH) tests to measure static and dynamic flexibility respectively. The reliability of this experimental setup and correlation between modifications of the SLR test was established in an earlier study involving 33 subjects.

##### Static Passive Hamstring Flexibility test

This test was performed in the supine position on an exercise bench. The functional knee brace was worn for testing. Passive stretching utilises an external agent to assist with the stretch. The participant used a Velcro strap around the ankle to assist with pulling the limb into hip flexion (Figure 1). The dominant leg was flexed to the terminal ROM or until a mild discomfort/tightness was felt in the back of thigh (5). This position was maintained for five seconds following which the limb was slowly lowered to the resting position.

##### Dynamic Supine Hamstring Flexibility test

The test was performed in the supine position on an exercise bench. Dynamic flexibility measures the ability to move a joint quickly through a non-restricted ROM. The participants were instructed to move the dominant limb into hip flexion using maximal effort and as quickly as possible or until a mild discomfort was felt in the back of the thigh. Dartfish analysis of the video frame that captured the terminal phase of movement was used to determine the angle of hip flexion.

Supine stretching is thought to better isolate the hamstrings, allowing for improved relaxation and is generally believed to be safer and more comfortable for people with a history of low back pain (15). Hence, the SPH test was used to measure static hamstring flexibility and the DSUH test was used to measure dynamic flexibility. Reliability testing demonstrated that there is a significant difference between flexibility measured by the SPH and DSUH hamstring flexibility tests (p<.001). There was also a significant difference between DSHWB (with knee brace) and DSHNB (without knee brace) tests (p = .003) and this result supported the use of the knee brace (dj Orthopaedics, LLC, California, USA) to maintain a fixed knee angle during flexibility testing.

An average hip flexion ROM was calculated for both and served as the final measure of hamstring flexibility (4). Post-testing was commenced immediately after the completion of the stretching intervention assigned for the day. In 2002, Klee et al. (26) suggested that participants should be retested as quickly as possible after the intervention stretches because resting tension started to increase after a three minute rest pause.

#### Stretching Program

##### Warm-up only/ No stretching: Treatment 1

No stretches were included in the warm-up, serving as a control. Participants cycled for 75 seconds on a stationary ergometer (Exertech, Australia) at 60-70 W with a 10 seconds rest pause between each of the five 75-second cycle periods. Total duration of cycling was 225 secs.

##### Static stretching: Treatment 2

Participants performed stretches for a total duration of 225 seconds (52). They performed three types of static stretches with a stretch time of 75 seconds for each (Table 1). This time equated to five stretches held for 15 seconds each (9, 29, 30, 34, 47,). A rest pause of ten seconds was allowed between stretches. Each static stretch was performed to the terminal range, defined as the point where the subject felt a mild discomfort or tightness in the back of the thigh (5). The static and dynamic stretching routines were appropriately timed so that the amount of time spent stretching was the same for each group, enabling comparison between the two groups (41).

##### Standing toe-touch

This stretch routine involved bending forward to touch toes whilst making sure that the knees remained fully extended. Participants held the stretched position for 15 seconds until a slight sense of discomfort or tightness felt in the back of the thigh. Ten seconds rest pauses were allowed after each stretch and when switching to a different stretch type.

##### Forward swing static stretch

The heel of the extremity to be stretched was supported on a treatment table to perform this particular stretch (35). The knee remained fully extended and the foot was positioned in relaxed plantar flexion. The pelvis was tilted anteriorly whilst bending forward at the waist avoiding flexion of the spine (15, 35), until the terminal range was reached or discomfort felt in the back of the thigh. This stretch position was held for 15 seconds and repeated five times on the dominant extremity.

##### Passive supine-sling stretch

This stretch was performed in the supine position whilst lying on an exercise treatment bench. A Velcro sling was passed around the ankle to flex the hip and consequently stretch the hamstring group of muscle. The stretch was held for 15 seconds to the terminal range of discomfort or tightness felt in the back of the thigh.

##### Dynamic stretching treatment

Five sets of seven to eight dynamic stretches equalled the amount of time spent (Table 1) on the aforementioned static stretching regimens. The aim was to allot the same amount of stretching time to the static and dynamic stretching interventions enabling comparison among the groups. The 15 seconds hold period for each static stretch equated to around seven to eight dynamic stretches. Five sets of dynamic stretches amounted to 225 seconds of total stretching time. There was a pause of 10 seconds between each set and another 10 seconds when changing over from one type of stretch to another.

Stretches were begun at low velocity and momentum was gradually built up to achieve at least 75% of maximum height and speed while performing the dynamic stretches. The SAID principle of specific adaptation to imposed demands formed the basis of the dynamic stretching routine. Participants stretched at 75% of the maximum velocity through a particular ROM whilst performing a sport-specific movement.

##### Dynamic leg swings

The dominant leg was flexed at the hip in a forward kicking action. The aforementioned SAID principle was applied during performance of all stretches (controlled stretching). Five sets of seven or eight forward leg swings or kicks (9) were carried out to a timed 225 seconds of stretching.

##### Crossed-body leg swings

Dominant leg swung across the midline of the body towards the opposite shoulder. This stretched the biceps femoris which is the lateral muscle of the hamstring group (40).

##### Standing bicycle-kicks

The dominant limb was put through a circumduction-like movement in a rhythmic cyclical manner incorporating the SAID principle (controlled stretching). Total time spent on this stretch was also 225 seconds.

#### Biomechanical analyses

The hip ROM in the dominant leg was used as an indirect measure of hamstring flexibility (44) and served as the only investigated parameter (Fully extended hip = 0°). Dartfish ProSuite (Dartfish Connect 4.0, Dartfish Ltd., Fribourg, Switzerland) is a complete video analysis software package, which includes all necessary functionality to analyse technical performance during and after training. Dartfish motion analysis software was used to quantify the degree of hip flexion. This system enables access to every video frame so that the terminal ROM of hip flexion can be accurately identified. Once the appropriate frame was identified, Dartfish was used to measure hip flexion accurately to the nearest degree. Intra-tester and operator reliability were tested by a repeat analysis of 15 participant performances.

#### Statistical Analysis

The principal dependent variable of interest was the change in hamstring flexibility measured by hip flexion ROM between pre and post-stretch measurements. The paired sample t-test compared the effect of the two treatments on static and dynamic hamstring flexibility. Non- parametric tests conducted on the collected data corroborate the aforementioned findings. Furthermore, Tukey’s Honestly Significant Difference (HSD) test explored the degree of change in static and dynamic flexibility. The data was analysed with the statistical package SPSS for Windows (version 12.1.0; SPSS Inc., Chicago, IL).

### Results & Disscussion

Various modifications of the SLR test were used to measure and compare hamstring flexibility in an earlier study that also tested for reliability (n=33). Static passive hamstring flexibility (SPH), dynamic supine hamstring flexibility (DSUH), dynamic standing hamstring flexibility with knee brace worn (DSHWB), and dynamic standing hamstring flexibility without knee brace (DSHNB). Subjects were tested on two separate occasions one week apart. Each subject had three trials for each tests for the two separate testing times resulting in a total of 30 scores. Test-retest was appropriate as subjects were tested at two points in time a week apart and a Cronbach alpha was used to test for internal consistency and reliability for the three trials of each week’s testing. The tests used in this study evidenced a very high degree of internal consistency for each trial by Occasion 1 and Occasion 2 as well as a high coefficient of reliability or stability as measured by the test-retest procedure (Table 3, Table 4).

Participants were randomly assigned to one of three interventions for each of three testing occasions:

1. No stretching (Treatment 1)
2. Static stretching (Treatment 2)
3. Dynamic stretching (Treatment 3)

A Paired-samples T-test was used to test for differences in static and dynamic flexibility from pre/post-test after each stretch intervention (Table 5).

Intervention Treatment 1, where the subjects did no stretching served as the control. Static and dynamic stretching (Treatment 2, Treatment 3) were the experimental treatments. Following Treatment 1 we expected measures of hamstring flexibility to remain unchanged from pre to post-test. However, our analysis revealed significant differences between pre and post score for static flexibility (t (11) = 2.76, p < .05). There was no significant difference between pre and post hip ROM measured by the dynamic flexibility test (t (11) = 0.315, p >.05). The mean value of difference between pre and post score for static flexibility (mean = 2.13, SD = 2.68) indicates that there is a substantial change.

When static stretching was included in the warm-up, there were statistically significant differences in pre and post static flexibility measurements (t (11) = 4.19, p < .05). However, there was no significant difference in pre and post dynamic flexibility measurements (t (11) = 0.72, p >.05). When dynamic stretches were included in the warm-up instead of static stretches, it was expected that there would be changes, at least, in dynamic flexibility of the hamstrings. The analysis shows that there were statistically significant differences in both static (t (11) = 2.62, p <. 05) and dynamic (t (11) = 5.69, p < .05) flexibility. This suggests that participants improved both their static and dynamic hamstring flexibility after dynamic stretching was included in the warm-up.

Non-parametric tests were carried out on the collected data to corroborate the aforementioned findings. Wilcoxon Matched-Pairs Ranks test was performed. The results were similar to those obtained following the Paired samples t-test. Following Treatment 1 (No stretching) there were resultant differences in the static hamstring flexibility (Wilcoxon, Z = -2.41, p < .05). Static stretching only influenced static flexibility (Wilcoxon, Z = -2.67, p < .05) of the hamstrings, while dynamic stretching produced changes in both static (Wilcoxon, Z = -2.39, p < .05) and dynamic flexibility (Wilcoxon, Z = -2.98, p < .05).

Furthermore, the differences in the degree of change in static and dynamic flexibility following dynamic stretching were explored using Tukey’s Honestly Significant Difference (HSD) test. The difference between the degree of improvement in static and dynamic hamstring flexibility following dynamic stretching were not statistically significant (Table 6). To corroborate these findings a Wilcoxon Matched-Pairs Ranks test was performed on pre-post differences of static and dynamic flexibility following dynamic stretching. The analysis failed to identify a significant difference in the changes demonstrated in both static and dynamic flexibility (Wilcoxon, Z = -0.178, p > .05).

The availability of state of the art software and improved video analysis techniques has changed the way flexibility is measured. The methods commonly being used have focussed on the measurement of static flexibility. With the growing trend towards using dynamic stretching and sport-specific drills in the warm-up, there is a need for measuring devices to adapt to these changes. We have provided a simple, reliable setup to measure flexibility. The inadequately defined relationship between flexibility and muscular performance or an athlete’s susceptibility to injury may be attributable to the lack of valid and reliable measures of flexibility (20). The drawback of flexibility assessment tools is the need for testing to be carried out within the confines of a laboratory. Although this study was carried out in a laboratory, the set-up could be used outdoors with the participant performing functional dynamic sporting movements.

Dynamic flexibility has been defined as a measure of the resistance throughout the ROM of a joint or a measure of joint stiffness (3). Dynamic flexibility is important in sport because it measures the ability of an extremity to move through a non-restricted ROM (36). The main findings suggest that static stretching improves static flexibility (p < .05) but may have no impact on dynamic flexibility (p > .05). Increasing ROM achieved through static stretching does not necessarily translate to improvements in dynamic flexibility. In 2004, Behm et al. (6) supported the concept that static stretching improved flexibility and ROM, however, it was believed that the relevance and specificity of the gains remained questionable.

In 1988, Alter (1) argued in support of the specificity of stretching: “ROM is a combination of active and passive ranges of motion and if passive stretching exercises are used to develop flexibility, then one should expect changes largely in passive flexibility” (p.179). Even a moderate duration of static stretching could result in quadriceps isometric force and activation decrements lasting for up to 120 minutes (33). The increase in static flexibility may not have translated into expected improvements in dynamic flexibility because of dampened hamstring activation following an acute bout of static stretching.

Static flexibility improved when no stretches were included in the warm-up as well as when the participants underwent a static stretching routine. Similar results were obtained in a other studies (44, 53). The 2003 study by Zakas et al. (53) indicates that flexibility improves significantly even when stretching is not included in the warm-up, however, any comparisons should be made with caution because of differences in methodology. The stationary cycling group in the study in 1997 by Wiemann and Knut (44) cycled for 15 minutes and demonstrated a significant improvement in hip ROM thereafter. They explain that this occurrence may be due to the decreased resting tension and a reduced stretch resistance following stationary cycling. However, other studies have shown that warming up before stretching does not complement the effectiveness of stretching (14, 45).

Following the inclusion of dynamic stretches in the warm-up, dynamic flexibility as well as static flexibility scores improved from pre-test to post-test. However, Tukey’s HSD test did not reveal significant differences between the degree of improvement of static and dynamic flexibility. Muscles have two types of receptors: the primary or annulospiral endings which measure changes in both muscle length and velocity, and the secondary or flower spray endings that measured changes in muscle length alone (2). Thus, Alter (2) reasons that dynamic stretching may be used to condition primary endings for a desired response, and sport-specific drills could be used in warm-up. Dynamic stretching may have caused activation of the primary annulospiral endings resulting in an increase in both static and dynamic flexibility. The dynamic stretching routine may have had a warming up effect, causing an increase in static flexibility.

There may be a need to consider the appropriate time for static stretching in the daily training schedule. There have been suggestions that static stretching may be useful in the cooling down period after a workout (18, 27, 31-32). Evidence remains in support of static stretching for long-term gains in flexibility (31, 39).

### Conclusion

The intervention study comparing the effects of static and dynamic stretching routines in the warm-up on hamstring flexibility demonstrated that dynamic stretching enhanced static as well as dynamic flexibility. Static stretching on the other hand did not have an impact on dynamic flexibility. This has implications for the use of static stretching in the warm-up for dynamic sport. The role of static stretching for injury prevention in dynamic sport is also being questioned.

### Application in Sport

The simplicity of the experimental set-up is the highlight of this research. Coaches can use our method of video analysis to monitor the effectiveness of stretching routines. A single person can carry out testing with ease and accuracy.

Dynamic stretching is synonymous with functional, sport-specific stretching and this research has demonstrated that dynamic stretching improves both static and dynamic hamstring flexibility. Static stretching has no impact on dynamic flexibility and should not be used in the warm-up; however, static stretches may be useful in the cooling down period of training for long term gains in flexibility.

Although our research has demonstrated the effectiveness of dynamic stretching in the warm-up, it is important to follow the training guidelines set aside in 2001 by Mann and Whedon (31) whilst implementing a stretching routine. Dynamic stretching may be most effective if performed according to the training principles discussed earlier, always making sure the needs and the capacities of the individual athlete receive precedence over general training goals.

### Acknowledgements

I would like to acknowledge my supervisors Dr. Mark Sayers and Dr. Gordon Waddington for their invaluable guidance. Their understanding and patience helped me overcome numerous hurdles en route to the completion of this thesis. I would also like to thank the sports studies staff for their help and advice.

I am thankful to the students of the University of Canberra (Sports Studies) for volunteering to participate in this research project. It was wonderful working with such cheerful and enthusiastic young people. Their willingness to participate and report at similar times for each testing session is much appreciated.

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### Tables

#### Table 1
Time spent on each stretch

Stretch Type Stretch Time (seconds)
Static stretching*
Toe-toucha 75c
Forward swinga 75c
Surpine slinga 75c
Dynamic stretching*
Forward leg swingb 75d
Crossed-body leg swingb 75d
Bicycle kicksb 75d

(*) 10 seconds rest pause after each repetition and 10 seconds before switching over to the next type of stretch.
(a) 5 Stretches
(b) 5 Sets
(c) 15 seconds hold for each static stretch
(d) 7-8 swings/ kicks equivalent to around 15 seconds of stretching time for each set.

#### Table 2
Comparison of Dynamic and Static Hamstring flexibility measures in reliability study

Test 1b Test 2a Test 1
Mean (SD)
Test 2
Mean (SD)
F df P Part Eta2
SPH DSUH 91.90 (18.02) 88.61 (16.97) 18.20 1.000 < .001 .363
SPH DSHNB 91.90 (18.02) 89.96 (15.91) 1.28 1.000 .267 .038
DSUH DSHWB 88.61 (16.97) 91.66 (15.65) 4.46 1.000 .043 .122
DSUH DSHNB 88.61 (16.97) 89.96 (15.91) .835 1.000 .368 .025
DSHWB DSHNB 91.66 (15.65) 89.96 (15.91) 10.44 1.000 .003 .246

Significant at p < .05
(a) All measurements are in degrees
(b) Number of participants performing each test = 33

#### Table 3
Cronbach alpha measure of reliability for each test repetition for two test sessions

Flexibility Test Alpha Occasion
(SEM)*
Alpha Occasion 2
(SEM)*
Static-passive hamstring .9950 (1.28) .9946 (1.32)
Dynamic-supine hamstring .9908 (1.71) .9891 (1.77)
Dynamic-standing hamstring with brace .9915 (1.45) .9917 (1.42)
Dynamic-standing hamstring no brace .9905 (1.51) .9897 (1.61)

(*) SEM – Standard Error of Measurement.

#### Table 4
Test – retest reliability

Flexibility Test Coefficient of Stability / Reliability (SEM)
Static-passive hamstring .992 (1.61)
Dynamic-supine hamstring .993 (1.45)
Dynamic-standing hamstring with brace .989 (1.66)
Dynamic-standing hamstring no brace .983 (2.04)

#### Table 5
Paired samples T test comparing the effect of the intervention treatments on dynamic and static hamstring flexibility

Treatmentb Pairs (Pre-Post Test Scores) Mean (SD) Std. Error Mean 95% Conf. Int. of the Difference ta Sig. (2-tailed)
Lower Upper
No stretch Static flexibility 2.13 (2.68) 0.77 0.43 3.84 2.758* 0.019
Dynamic flexibility 0.23 (2.57) 0.74 -1.40 1.87 0.315 0.759
Static stretching Static flexibility 4.04 (3.34) 0.96 1.92 6.16 4.191* 0.002
Dynamic flexibility 1.35 (6.51) 1.88 -2.78 5.48 0.719 0.487
Dynamic stretching Static flexibility 1.86 (2.46) 0.71 0.30 3.42 2.622* 0.024
Dynamic flexibility 1.75 (1.06) 0.31 1.07 2.43 5.694* 0.000

(*) Significant at p < .05
(a) Degrees of freedom = 11
(b) Number of participants undergoing each treatment = 12

#### Table 6
Tukey’s Honestly Significant Difference (HSD) test exploring differences in the degree of change in static and dynamic flexibility following dynamic stretching

Experimental Group Dependent Variable (I) Intervention (J) Mean Difference (I-J) Std. Error Sig.
Dynamic Stretching Post Static Flexibility No Stretching -0.006 4.14 1.00
Static stretching 1.08 4.14 0.96
Post Dynamic flexibility No stretching -1.24 4.60 0.97
Static stretching -1.13 4.60 0.97

### Corresponding Author
Gayle Silveira, MBBS
Modbury Hospital
Smart Road
Modbury, SA 5092
Australia
<gaylerebello@yahoo.com>
+6 (143) 172-1469

2013-11-25T16:34:15-06:00March 3rd, 2011|Contemporary Sports Issues, Sports Coaching, Sports Exercise Science, Sports Management|Comments Off on Effect of dynamic versus static stretching in the warm-up on hamstring flexibility
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