The Effects of Conference Realignment on National Success and Competitive Balance: The Case of Conference USA Men’s Basketball

### Abstract

Collegiate athletic conferences serve multiple functions, including providing regular opportunities for members to compete in a relatively equitable environment and contributing to the financial well being of member institutions. Many conferences have undergone realignment in recent years, and the effects of those changes may impact the degree to which conferences realize those desired outcomes. The purpose of this paper is to assess how the churning of various institutions (i.e., changes in conference membership as institutions leave or are added) within Conference USA over a 10-year period affected the conference’s men’s basketball programs in regard to success at the national level and competitive balance within the conference. Both national success and competitive balance within the conference can significantly impact the financial well-being of the conference. Results of the study indicate decreases in both the competitive success of the men’s basketball programs at the national level and the in-conference competitive balance between the 2000-2001 through 2004-2005 and the 2005-2006 through 2009-1010 time periods.

**Key Words:** college athletics, competitive balance, conference realignment, basketball, conference USA

### Introduction

While amateur athletic conferences serve many functions for the individual member institutions, one important purpose is to attempt to enhance the financial status of their members. Although there are numerous ways this can be achieved, two important ways include (1) an attempt to accumulate a group of conference teams that are successful nationally against teams from rival conferences, and (2) an effort to insure teams are somewhat evenly matched within the conference—what is referred to as competitive balance.

Both winning against non-conference opponents and competitive balance are important as they tend to enhance the financial status of conference members. Indeed, “everyone loves a winner,” and is willing to attend games featuring successful teams more often and pay more to attend. Likewise, while people want their teams to win, fans like the games to be exciting and not a foregone conclusion as to the winner (5, 9, 12, 17, and 18).

Almost all major college athletic conferences have experienced changes in their membership within the last six years. These changes—commonly referred to as churning as members come and go—impact conferences in many ways. Competitive success at the national level and in-conference competitive balance are among the desired outcomes commonly impacted.

The purpose of this study was to assess how churning within Conference USA over a 10-year period has affected the conference’s men’s basketball programs in regard to success at the national level and competitive balance within the conference. The study is important because it assesses the impact of churning on two key but unrelated dimensions. A conference may be well balanced competitively but have negligible success at the national level. Conversely, a conference may be highly unbalanced, but the few teams who win consistently in-conference, may also enjoy considerable success at the national level. This can provide considerable financial rewards for the conference.

Competitive success at the national level and the financial well-being of conference members are inextricably linked because the number of teams a conference places in the NCAA national championship tournament and the number of victories those teams accrue determine the NCAA’s payout to participating conferences. Other studies have examined the effects of churning on competitive balance (see, for example, 13-15, 18) or the relationship between realignment and program revenue (8). This project is the first to combine both considerations, allowing for a more comprehensive assessment of churning outcomes.

### Related Literature

College conferences are comprised of college and universities that have established an association, one of the purposes of which is regular athletic competition (1). In 2011, Staurowsky and Abney (20) stated conferences “establish rules and regulations that support and sustain a level playing field for member institutions, while creating in-season and postseason competitive opportunities” (p. 149). And Rhoads (18) has observed that “(i)t is reasonable that conferences should be quite active in ensuring optimal levels of competitive balance” (p. 5).

Sustained competition among equitable teams is not the sole purpose of athletic conferences, however. Depken (4) observed:

> Sport leagues exist, in part, to insure profitability of their member franchises. Although the NCAA specializes in amateur sports, in which players do not receive direct salaries for their athletic performance, it is readily apparent that the schools that comprise the NCAA are often anxious to earn as much profit as possible from the sports programs (p. 4).

College athletic conferences contribute to their member institutions’ revenue by distributing rights fees from media agreements, corporate sponsorships, licensing and other forms of revenue received by the league (7). One source of revenue for NCAA Division I conferences are distributions from the annual Division I Men’s Basketball Championships. Payouts to conferences are based on financial values linked to units, which are accrued each time a conference member plays a game in the tournament (22). For example, a conference member advancing to the third round (i.e., “Sweet Sixteen”) is valued at three units. Payments to conferences are based on six-year averages of the financial values associated with units accrued (22).

#### Conference Churning

As illustrated in Table 1, 10 of the 11 conferences in the NCAA Division I’s Football Bowl Subdivision (FBS) experienced membership changes between 2005 and 2011. Additional changes at the FBS level are planned for 2012, and Quirk (16) has observed similar instability among non-FBS Division I conferences. Fort and Quirk (6) argued that football is the predominant consideration when institutions change conference affiliations. Competitive imbalance in existing conferences often results in churning because enhanced competitive balance is linked to desirable financial outcomes. Other scholars (5, 9, and 17) support that argument, observing that consumer uncertainty of a game’s outcome is linked to increased demand. Rhoads (18) specifically linked competitive balance with increased ticket sales and enhanced television rights fees.

Little scholarly attention has been devoted to effects of conference churning on competitive success against non-conference opponents. Minimal research has been devoted to evaluating conference realignment in terms of financial outcomes. One exception is Groza (8), who found FBS teams that changed conferences enjoyed an increase in attendance, even controlling for increased quality in competition. Of course, ticket sales (i.e., attendance) is only one of many financial factors that may be impacted by churning. Others include, but are not limited to, BCS and other bowl related revenue, NCAA tournament payouts; media rights fees, athletic donations, and corporate sponsorship fees.

Several studies have been conducted assessing the effects of conference churning on competitive balance within select sport programs. Rhoads (18) examined the Western Athletic and Mountain West conferences and found that membership changes in those conferences had resulted in enhanced competitive balance in football. The changes had no impact on competitive balance in men’s basketball however. Perline and Stoldt (13-14) conducted two studies focusing on competitive balance before and after the Big 8 Conference expanded to become the Big 12. Their first study focused on men’s basketball, for which they concluded that competitive balance within the sport decreased after the conference’s expansion (13).Their second study centered on football, for which they concluded that competitive balance improved after the merger (14). The same scholars also examined competitive balance in women’s basketball before and after the merger between the Gateway Collegiate Athletic Conference and Missouri Valley Conference (15). Multiple methods of assessing of competitive balance produced mixed results, with more measurements indicating more competitive balance after the merger.

#### Conference USA: History and evolution

Conference USA (C-USA) was formed in 1995 during a time of great upheaval in college athletics, which included the dissolution of the Southwest Conference and the formation of the Big XII in 1996 (21). C-USA is a Division I-A league that is divided into two competitive divisions: East and West. In the eastern division members include East Carolina University, Marshall University, the University of Memphis, Southern Mississippi University, University of Alabama- Birmingham, and the University of Central Florida. The western division includes the University of Houston, Rice University, Southern Methodist University, Tulane University, the University of Tulsa, and the University of Texas- El-Paso (2).

Since its inception in 1995, C-USA has endured much change. In the beginning the conference consisted of the University of North Carolina-Charlotte, the University of Cincinnati, DePaul University, the University of Houston (starting competition in 1996), Marquette University, the University of Memphis, Tulane University, St. Louis University, University of Alabama- Birmingham, and the University of Southern Florida. Mike Slive was appointed as the first commissioner, but left to become the commissioner of the Southeastern Conference in 2002 (19), leaving C-USA to appoint Britton Banowsky as its new commissioner. Additionally, in 2002, the C-USA headquarters moved from Chicago to Irving, Texas (2).

The major realignment of C-USA in 2005 was set in motion by larger conference realignment issues. The Atlantic Coast Conference’s (ACC) desire for football prestige triggered a mass reordering of conferences (23). Specifically, the ACC invited the University of Miami (FL), Virginia Polytechnic and State University, and Boston College to join their conference, thereby depleting the Big East Conference. In order to reestablish its conference, the Big East invited C-USA members the University of Cincinnati, DePaul University, Marquette University, the University of Louisville, and the University of South Florida (11). Additionally, four other institutions relinquished their C-USA memberships in 2005. Texas Christian University left to join the Mountain West Conference, the University of North Carolina-Charlotte and St. Louis University left to join the Atlantic 10 Conference, and the U.S. Military Academy (aka Army) became independent [11). Figure 1 lists the various institutions that have been members of C-USA, the dates of their memberships, and their current conference affiliations.

Crytzer (3) noted the unusual current geographical size of C-USA (over 1,500 miles separate the eastern most and western most schools) is a barrier for many of the member schools, which range in student population from 5,000 to 50,000. Additionally, conference defections over the past 15 years helped fuel speculation that future NCAA conference realignments could render C-USA obsolete.

### Methods

The purpose of this paper was to assess how churning within Conference USA over a 10-year period has affected the conference’s men’s basketball programs in regard to success at the national level and competitive balance within the conference. We employed two tactics each in evaluating winning success nationally and competitive balance.

#### Winning Success

In order to measure winning success, we measured the success of Conference USA teams against outside competition before the departure of teams in the 2004-05 season and after the addition of teams in the 2005-06 season. While the conference mean will always be .500, the non-conference mean could vary. We also measured the number of Conference USA teams that participated in the NCAA post-season tournament in both periods. The latter was a major source of revenue to the conference and ultimately to each team. The value of each appearance in the tournament varied from $94,086 in 2001 to $222,206 in 2010 and has continued to grow in magnitude over time. These values were paid annually for six years. Thus one appearance in 2001 would be worth $564,516 to the conference and one appearance in 2010 would be worth $1,333,236 to the conference over the six-year period. It is, therefore, readily apparent that the more appearances a conference makes in the tournament, the more revenue it receives.

#### Measuring Competitive Balance

There were several methods used in measuring competitive balance. The most appropriate of these methods depended on what the researcher was attempting to specifically measure (9). Methods most appropriate for measuring competitive balance within a given season may be different from those used to measure competitive balance between seasons (10). To measure competitive balance within a given year, we rely on the standard deviation of winning percentages and to measure competitive balance between seasons, we use the Hirfindahl-Hirschman Index (HHI).

##### Standard Deviation of Winning Percentages

Possibly the method most often used to measure competitive balance within a conference in a given season is the standard deviation of winning percentages. Since there will, outside of a tie, always be one winner and one loser for each game, the average winning percentage for the conference will always be .500.

In order to gain insight into competitive balance, we would need to measure the dispersion of winning percentages around this average. To do this we can measure the standard deviation. This statistic measures the average distance that observations lie from the mean of the observations in the data set. The formula for the standard deviation is:

![Formula 1](/files/volume-14/441/formula-1.jpg)

The larger the standard deviation, the greater is the dispersion of winning percentages around the mean, and thus the less competitive balance.

#### Championship Imbalance

While using the standard deviation as a measure of competitive balance provides a good picture of the variation within a given season, it does not indicate whether it is the same teams winning every season, or if there is considerable turnover among the winners, i.e., whether there is between season variation. Therefore, another method economists have used to measure imbalance is the Hirfindahl-Hirschman Index (HHI), which was originally used to measure concentration among firms within an industry ([10). We determine the HHI by counting the number of times a team won a championship during a given period, summing those values and then dividing by the number of years in the period considered.

![Formula 2](/files/volume-14/441/formula-2.jpg)

Using this method, the greater the number of teams that achieve championship status over a specific time period, the greater would be the competitive balance.

### Results

#### Winning Success

Table 3 gives the winning percentages for Conference USA teams against non-conference opponents in the two periods under consideration. For the earlier period the mean winning percentage was .606 and for the latter period it was .577—an approximate 5% differential favoring the earlier period. It should be noted that the highest winning percentage over this total period was .638 (2003-04) and the lowest was .539 (2005-06). The data suggest that Conference USA was more successful against outside competition in the earlier period.

Table 4 reflects the number of Conference USA members participating in the NCAA post-season tourney, the unit value of each appearance and the dollars received in each year from conference participation. The data in Table 4 indicates that in the 2001-05 period the conference received $30,722,250, and in the 2006-10 period the conference receipts were only $21,269,388. These numbers reflect a participation of 39 appearances in the earlier period and 19 in the latter period. Consequently, even though the dollars per unit were considerably higher in the latter period, the conference earned almost $10 million more in the earlier period.

#### Competitive Balance

##### Standard Deviation of Winning Percentages

Tables 5 and 6 display the winning percentage for men’s basketball for the years 2000-01 through 2004-05 and for 2005-06 through 2009-10. Table 7 displays the standard deviations for both time periods.

As shown in Table 7, the mean standard deviation was .208 for 2000-01 through 2004-05, and it was .250 for 2005-06 through 2009-10. As indicated above, the lower the standard deviation the greater the competitive balance. This is a 20.3% difference favoring competitive balance in the earlier period. It should also be pointed out that not only was the mean standard deviation lower for the earlier period, but the lowest standard deviation for the period, .173 (2000-01), was lower than the lowest standard deviation for the later period, .238 (2006-07). Likewise the highest standard deviation for the later period, .261 (2009-10) was higher than the highest standard deviation, .236 (2003-04) in the earlier period. As a matter of fact the standard deviation was lower every year of the earlier period than for the later period.

Why the standard deviation was lower for the earlier period can also be seen by the range of the means in the two periods. As indicated in Table 5 (the earlier period) the range was a high of .725 (Cincinnati) and a low of .266 (East Carolina). This was a range of .459 from top to bottom of the standings. On the other hand, and as indicated Table 6 (the latter period), the means ranged from a high of .948 (Memphis) to a low of .216 (East Carolina). This was a range of .732 from top to bottom. Indeed in this period Memphis had a perfect record of 16-0 in three of the five years investigated, while two teams, East Carolina and SMU, had losing records all five years.

##### Championship Imbalance

Using the data from Table 8 to construct the HHI to measure competitive balance between the two periods we find the results are consistent with the results found when using the standard deviation. Using the regular season standings we find that during the 2000-01 through 2004-05 period (see Table 8), three teams–Cincinnati, Marquette and Louisville–won the championship once each. Multiple teams shared the title for two seasons–2001-02 when Cincinnati and Southern Mississippi tied and 2003-04 when there was a five-team (DePaul, Memphis, Cincinnati, UAB and Charlotte) tie for first. If we give one point for each outright championship, .5 for a two-team tie, and .2 for a five-team tie, we find:

HHI = 1.72 + 12 + 12 + .52 + .22 + .22 + .22 + .22= 2.89 + 1 + 1 + .25 + .04 + .04 + .04 + .04 = 5.3/5 = 1.06

When measuring the HHI over the 2005-06 through 2009-10 period (see Table 8), we find considerably less competitive balance. During this period one team, Memphis, won the regular season championship four times and another team, UTEP, won the championship the other year. Measuring these results we find:

HHI= 42 + 12 = 16 + 1 = 17/5 = 3.4

These calculations indicate less competitive balance during the 2005-06 through 2009-10 period.

### Conclusions

The results of this study offer strong evidence that the churning that occurred in C-USA over the 10-year period 2000-2001 through 2009-2010 had negative effects for men’s basketball in terms of both competitive success at the national level and competitive balance within the conference. Both of the indicators of national success—winning percentage against non-conference opponents and revenue derived from member appearances in the national championship tournament—were better during the earlier period than the latter. In addition both measures of competitive balance within the conference—standard deviation of winning percentages and the HHI—indicate more competitive balance in the earlier period.

It is also important to note that while this study examined the financial ramifications of C-USA’s success, or lack thereof, in the men’s basketball national championship tournament, that revenue stream was but one of several that determine the overall financial well-being of the conference and its members. However, Crytzer (3) has observed that as the financial benefits of the C-USA’s success in men’s basketball from 2003-2005 in particular run out, the conference’s long-term viability may be at risk. Clearly, multiple factors relating to a variety of sport programs will affect whether C-USA is susceptible to additional churning and/or will even survive. However, the findings of this study pertaining to one flagship sport, men’s basketball, indicate the conference faces significant challenges in the near future.

### Applications In Sport

While the results of this study are not to be generalized to other sports programs or other conferences, they do align with the findings of other studies that have examined the effects of conference churning on competitive balance in men’s basketball. While Rhoads (9) found realignment in the Western Athletic and Mountain West conferences had enhanced competitive balance in football, it did not have the same positive effect in men’s basketball. And two studies on the effects of churning in the Big 12 found improved competitive balance in football (14) but diminished competitive balance in men’s basketball (13). Since football is recognized as the primary factor in conference realignment (6), it may be that conference churning commonly results in desirable outcomes for that one sport program while others (i.e., men’s basketball) do not enjoy the same benefits. Given the potential for revenue generation in men’s basketball, and perhaps a few other sport programs aside from football (depending on the institution), the appeal of competitive success on a national level, and the importance of in-conference competitive balance, university and college leaders are well advised to consider likely ramifications for multiple sport programs when considering conference affiliation options.

### Tables

Conference Last Change Description
Atlantic Coast Conference 2005 Boston College joins
Big East Conference 2011 Texas Christian joins
Big Ten Conference 2011 Nebraska joins
Big 12 Conference 2011 Two institutions withdraw
Conference USA 2005 Five institutions join, four withdraw
Mid-American Conference 2007 Temple joins as football-only member
Mountain West Conference 2011 Two institutions withdraw, Boise State joins
Pac-10 Conference 2011 Two institutions join
Southeastern Conference 1990 Two institutions join
Sun Belt Conference 2010 New Orleans withdraws
Western Athletic Conference 2011 Boise State withdraws

#### Table 2
Evolution of C-USA, 1995-2011

Conference Last Change Description
UNC Charlotte 1995-2005 Atlantic 10
Cincinnati 1995-2005 Big East
DePaul 1995-2005 Big East
Houston 1995-Present C-USA
Louisville 1996-Present C-USA
St. Louis 1995-2005 Atlantic 10
Southern Miss 1995-Present C-USA
Tulane 1995-Present C-USA
Alabama, Birmingham 1999-Present C-USA
Southern Florida 1995-2005 Big East
Central Florida 2005-Present C-USA
Texas Christian 1999-2005 Mountain West1
East Carolina 1996-Present C-USA
Army 1997-2005 Independant
Marshall 2005-Present C-USA
Rice 2005-Present C-USA
Southern Methodist 2005-Present C-USA
Tulsa 2005-Present C-USA
Texas, El-Paso 2005-Present C-USA

1. Moving to the Big East in 2011-2012 season

#### Table 3
Conference Winning Percentage in Games Against Non-Conference Opponents

Year Winning Percentage
2000-01 .550
2001-02 .622
2002-03 .607
2003-04 .638
2004-05 .615
5-Year Mean .606
2005-06 .539
2006-07 .590
2007-08 .585
2008-09 .589
2009-10 .583
5-Year Mean .577

#### Table 4
NCAA Tournament Appearances and Related Revenue

Year NCAA Appearances Unit Volume ($) Yearly Value ($) 6 Year Value ($)
2001 5 94,086 470,430 2,822,580
2002 4 100,672 402,688 2,416,128
2003 9 130,697 1,176,273 7,057,638
2004 11 140,964 1,550,604 9,303,624
2005 10 152,038 1,520,380 9,122,280
5-Year Totals 39 618,457 5,120,375 30,722,250
2006 5 163,981 819,905 4,919,430
2007 4 176,864 707,456 4,244,736
2008 5 191,013 955,065 5,730,390
2009 3 206,020 618,060 3,708,360
2010 2 222,206 444,412 2,666,472
5-Year Totals 19 960,084 3,544,898 21,269,388

#### Table 5
Winning Percentage for Men’s Basketball Teams, 2000-01 through 2004-05

Year Cin Char Marq StL Lou DeP SouM Mem USF UAB Hou Tul ECar TCU
2000-01 0.688 0.625 0.563 0.5 0.5 0.25 0.688 0.625 0.563 0.5 0.375 0.125
2001-02 0.875 0.688 0.813 0.563 0.5 0.125 0.25 0.75 0.5 0.375 0.563 0.313 0.313 0.375
2002-03 0.562 0.5 0.875 0.562 0.688 0.5 0.313 0.813 0.438 0.5 0.375 0.5 0.188 0.188
2002-04 0.75 0.75 0.5 0.563 0.563 0.75 0.375 0.75 0.063 0.75 0.188 0.25 0.313 0.438
2004-05 0.75 0.75 0.438 0.375 0.875 0.625 0.25 0.563 0.313 0.625 0.563 0.25 0.25 0.5
Mean 0.725 0.663 0.638 0.513 0.625 0.45 0.375 0.700 0.375 0.55 0.413 0.288 0.266 0.375

#### Table 6
Winning Percentage for Men’s Basketball Teams for 2005-06 through 2009-10

Year Memphis UAB UTEP Hou UCF Tulsa Rice Tulane Marshall SMU So.Miss E.Car.
2005-06 0.929 0.857 0.786 0.643 0.5 0.429 0.429 0.429 0.357 0.286 0.214 0.143
2006-07 1 0.438 0.375 0.625 0.688 0.563 0.5 0.563 0.438 0.188 0.563 0.063
2007-08 1 0.75 0.5 0.688 0.563 0.5 0 0.375 0.5 0.25 0.563 0.313
2008-09 1 0.688 0.625 0.625 0.438 0.75 0.25 0.438 0.438 0.188 0.25 0.313
2009-10 0.813 0.688 0.938 0.438 0.375 0.625 0.063 0.188 0.688 0.438 0.5 0.25
Mean 0.948 0.684 0.645 0.604 0.512 0.573 0.248 0.399 0.484 0.27 0.418 0.216

#### Table 7
Standard Deviation for Winning Percentages

Year SD
2000-01 0.173
2001-02 0.223
2002-03 0.202
2003-04 0.236
2004-05 0.205
5-Year Mean SD 0.208
2005-06 0.253
2006-07 0.238
2007-08 0.256
2008-09 0.243
2009-10 0.261
5-Year Mean SD 0.250

#### Table 8
Regular Season Conference Champions, 2000-01 through 2004-05

Year Champion(s)
2000-01 Cincinnati, Southern Mississippi
2001-02 Cincinnati
2002-03 Marquette
2003-04 DePaul, Memphis, Cincinnati, UAB, Charlotte
2004-05 Louisville
2004-05 Louisville
2005-06 Memphis
2006-07 Memphis
2007-08 Memphis
2008-09 Memphis
2009-10 UTEP

### References

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6. Fort, R., & Quirk, J. (1999). The college football industry. In J. Fizel, E. Gustafson and L. Hadley (Eds.) Sports economics: Current research (pp. 11-26). Westport, CT: Praeger.
7. Grant, R.R., Leadley, J., & Zygmont, Z. (2008). The economics of intercollegiate sports. Mountain View, CA: World Scientific.
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### Corresponding Author

G. Clayton Stoldt
Wichita State University
Department of Sport Management
1845 Fairmount
Wichita, KS 67260-0127
clay.stoldt@wichita.edu
P: (316) 978-5441

Martin Perline is a professor and Bloomfield Foundation fellow in the Department of Economics at Wichita State University. G. Clayton Stoldt is chair and professor in the Department of Sport Management at Wichita State University. Mark Vermillion is an assistant professor in the Department of Sport Management at Wichita State University.

2015-11-08T07:40:19-06:00January 3rd, 2012|Contemporary Sports Issues, Sports Coaching, Sports Management, Sports Studies and Sports Psychology|Comments Off on The Effects of Conference Realignment on National Success and Competitive Balance: The Case of Conference USA Men’s Basketball

The Effect of Music Listening on Running Performance and Rating of Perceived Exertion of College Students

### Abstract

The purpose of this study was to investigate how listening to music while running affects performance and perceived exertion of college students. Twenty-eight undergraduate kinesiology students (17 males, 11 females; age = 22.9 ± 5.9 yrs) were studied to determine if running performance and rating of perceived exertion were affected by listening to music. Running performance (RP) was measured by a 1.5-mile run. Two trials were performed, the first was a running performance without music listening (RPWOML = 12.94 ± 3.35 min) and the second trial was a running performance while music listening (RPWML = 12.50 ± 2.48 min). The second trial was measured five days post the initial trial. Listening to music (music listening) was defined as the subject’s self selection of music tracks and use of a personal digital audio player (e.g. IPod, MP3) during exercise. Perceived exertion without music listening (PEWOML = 14.7 ± 1.3) and perceived exertion with music listening (PEWML = 15.2 ± 2.4) was measured by the Borg 6 to 20 RPE scale. Data analysis was performed on the raw data by utilizing dependent t-tests to calculate and compare sample means. Statistical analyses determined a significant difference (p < .05) between running performance without music listening (RPWOML = 12.94 ± 3.35 min) and running performance with music listening (RPWML = 12.50 ± 2.48 min). However, no significant difference (p < .05) was determined between perceived exertion without music listening (PEWOML = 14.7 ± 1.3) and perceived exertion with music listening (PEWML = 15.2 ± 2.4) as measured by the Borg 6 to 20 RPE scale. In conclusion, the results of this study indicate that music listening has a significant effect on running performance during a maximal 1.5-mile run. However, music listening had no significant effect on rating of perceived exertion at this distance. Based on the results of this study it is recommended that coaches, athletes, and traditional exercisers consider listening to music during training to enhance performance.

**Key Words:** Music Listening, Aerobic, Performance, Rated Perceived Exertion (RPE)

### Introduction

In the past listening to music was relegated to travelling in automobiles, while in the home, while engaged in recreational activities and occasionally at work. Today, the portable music industry (e.g. cassettes, compact discs, and iPod/MP3 digital audio devices) has popularized music “on the go” and invaded just about every environment including training venues. These devices have made it easier for people to enjoy their music and create their own style of workouts with relative ease, regardless of the setting, and has transcended into a multi-million dollar industry (14). Similarly, the sports arena is an environment where music has flourished. Traditionally, music has been used to motivate and inspire people prior to an important event (e.g. pre-game of a critical contest) as well as when they engage in sports and training for competition. Thus, athletes and traditional exercisers alike have used music as an accompaniment to exercise to sustain motivation, resist mental and emotional fatigue, and potentially enhance their physical and athletic performance (10). Scientific inquiry has revealed three key ways in which music can ‘influence’ preparation and competitive performances through dissociation, arousal regulation, and synchronization (3, 4, 6, 8-10). More specifically, research indicates music to be particularly effective in distracting exercisers away from their perceived exertion.

#### Conceptual Framework

Conceptually the underlying framework of using motivational music in exercise and sport devised by Karageorghis et al. (7) indicated two main hypotheses regarding arousal regulation and fatigue dissociation. First, music can be used to alter emotional and physiological arousal and thus can act either as a stimulant or sedative prior to and during physical activity. Therefore, an athlete can use various music tempos as a ‘psych-up’ strategy in preparation for a competition or perhaps an aid to calming over anxiousness. Second, music diverts a performer’s attention from sensations of fatigue during exercise. This diversionary technique, known as dissociation, lowers perceptions of effort. Effective dissociation can promote a positive mood state, thus turning the attention away from thoughts of physiological sensations of fatigue (7).

#### Rated Perceived Exertion

Noble and Robertson (13) define perceived exertion as the subjective intensity of effort, strain discomfort and/or the fatigue that is experienced during an exercise. Currently, the most consistent findings suggest that perceived exertion will rate in lower values when participants exercise to music (12, 13, 22, & 24). The research data compiled from over the past two decades has found music particularly effective in distracting exercisers away from their perceived exertion during physical activity. A study by Nethery, Harmer, and Taaffe (12) found that perceived exertion while exercising to music was lower than for other attentional distracters and for the no distraction condition. Furthermore, Thornby et al. (22) tested exercising participants in the presence of music, no music and noise. They discovered that participants reported a lower perceived exertion while exercising in the presence of music in comparison to the no music and noise conditions.

These findings coupled with the popularity and substantial profits generated between the association of music and training (14) would seem to indicate a correlation between the use of music and performance. However, the effects of listening to music on performance and other physiological measures are less clear. Therefore, the purpose of this study was to investigate the effect listening to music has on running performance and rating of perceived exertion of college students.

### Methods

#### Experimental Approach to the Problem

Listening to music (music listening) was defined as the subject’s self selection of music tracks and use of a personal digital audio player (e.g. IPod, MP3) during exercise. Running performance was determined by a maximal 1.5 mile run to predict VO2 max. Subjects were asked to complete the distance run in the fastest time possible. Results were recorded in minutes and seconds. A common field test equation, V02 max (ml*kg-1*min-1) = 3.5 + 483 / (time in minutes), was selected to access cardio-respiratory fitness of the subjects utilizing their 1.5 mile running performance (1). Perceived exertion was determined by the Borg 6 to 20 RPE scale. Rating of perceived exertion summarizes the exertion levels between rest and maximum effort numerically from 6 to 20 (2).

#### Subjects

Twenty-eight undergraduate kinesiology students (17 males, 11 females; age = 22.9 ± 5.9 yrs) from a south Texas university were studied to determine if running performance and rating of perceived exertion were affected by listening to music. Institutional Review Board approval and subject informed consent were obtained prior to commencement of the research study.

#### Procedures

All participants were required to fill out an informed consent document two days prior to testing. Participants were then instructed to obtain sufficient sleep (6-8 hours) and avoid food, caffeine, tobacco products, or alcohol for 3 hours prior to testing the 1.5-mile run (1). Prior to testing, a 1.5-mile course was measured with a Rolatape® distance measuring wheel. The start/finish line and .75-mile line were marked off with two cones each on the large sidewalk course. Three testers were used to ensure subjects completed the 1.5-mile run, two researchers were stationed at the start/finish line to collect run times and RPE scores for each participant, while another tester was stationed at the .75-mile line or turn around portion of the course. To complete the 1.5-mile run each participant had to begin at the starting line, run to the .75-mile line, and then simply turn around and run back to the start/finish line. Stopwatches were used to measure 1.5-mile run times. Following the course explanation; the participants were encouraged to warm-up and stretch before starting the 1.5-mile run, as well as verbally read the following instructions for use of the Borg 6 to 20 RPE scale:

> During the exercise test we want you to pay close attention to how hard you feel the exercise work rate is. This feeling should be your total amount of exertion and fatigue, combining all sensations and feelings of physical stress, effort, and fatigue. Don’t concern yourself with any one factor such as leg pain, shortness of breath, or exercise intensity, but try to concentrate on your total, inner feeling of exertion. Try not to underestimate or overestimate your feeling of exertion, be as accurate as you can (20).

The participants completed two separate 1.5-mile runs as a group during their regularly scheduled class time on their campus. The first trial was performed in silence without any form of digital audio device (IPod, MP3) which would enable music listening. Five days post the initial trial, a second 1.5-mile run was administered during the regularly scheduled class meeting. However, in this 1.5-mile run test participants were required to use digital audio devices during the trial to enable music listening. Music selection was not controlled during this experiment; therefore the participants were able to select their favorite musical tracks to accompany them on their second trial run. All run times were recorded as the participants crossed the finish line, and RPE was obtained shortly thereafter when the subjects were asked to pick the number best reflecting their exertion from the Borg 6 to 20 scale poster board on site.

#### Statistical Analysis

An experimental one-group pretest-posttest design was utilized. The subjects completed two 1.5-mile run trials to test the effect of music listening on running performance and rating of perceived exertion. Dependent t-tests were utilized to compare mean data from the experimental conditions: music listening and without music listening. Significance was determined at the probability level of .05.

### Results
The results are divided into two sections: running performance and rating of perceived exertion. Data analysis was performed on the raw data by utilizing dependent t-tests to calculate and compare paired sample means. The mean and standard deviation values for these two measures, according to experimental conditions, are summarized in Table (1).

#### Running Performance

Dependent t-tests were conducted on the subjects running performance times in conditions without music listening and with music listening. Two trials were performed, the first was a running performance without music listening (RPWOML = 12.94 ± 3.35 min) and the second trial was a running performance while music listening (RPWML = 12.50 ± 2.48 min). Statistical analyses found music listening had a significant t (26) = 1.75, p = .0478 impact on running performance as shown in Figure 1. In addition, music listening was found to have a significant t (16) = 2.07, p = .0445 effect on running performance for male subjects, whereas female subject t (10) = 1.23, p = .12 indicated non significance.

#### Rating of perceived exertion
A paired two sample dependent t-test was conducted on the subjects rating of perceived exertion after completing a 1.5-mile running performance in conditions without music listening and with music listening. The result of the two trials found the subjects rated perceived exertion without music listening (PEWOML = 14.7 ± 1.3) to be lower than ratings of perceived exertion with music listening (PEWML = 15.2 ± 2.4). Statistical analysis found the effect of music listening on the groups rated perceived exertion to be non significant t (26) = -1.22, p = .11 as shown in Figure 2. However, music listening was found to have a significant t (10) = -2.96, p = .01 directional effect on reported female rating of perceived exertion scores while non significance t (16) = -.18, p = .4263 was found among male rating of perceived exertion scores.

### Discussion

The effects of listening to music on running performance and the rating of perceived exertion during maximal 1.5-mile runs were investigated. By comparing the recorded ratings of perceived exertion and running times of the two situations, it became clear when the subjects exercised to music their running performance improved collectively. Previous research by Thornby et al. (22) also found that the time spent exercising, the amount of work done, and heart rate were all significantly higher in the presence of music than in the other conditions. Similarly, Edworthy and Waring (4) make the suggestion, in regards to music’s effect on running performance, that the pace of music will influence the pace of exercise. Therefore, the assumption can be made that exercising to fast tempo music should produce faster running performance. However in this study’s case, music selection was not controlled; therefore some participant’s personal preferences might not have met the tempo or vigorous nature of the exercise conducted. Even so, the results of the two trials found the subjects running performance while listening to music (RPWML = 12.50 ± 2.48 min) to be substantially faster than running performance without music listening (RPWOML = 12.94 ± 3.35 min).

These results indicate that music listening has a significant effect (p < .0478) on running performance during a maximal 1.5-mile run. Therefore, the research null hypothesis in regards to music’s effect on running performance has been rejected. Furthermore, male subjects in particular were found to perform better while listening to music.

Additionally, music listening was found to have no significant effect on rating of perceived exertion during a maximal 1.5-mile run. The findings of the most recent research reported the effectiveness of music on the subjects’ perceived exertion rate during submaximal exercise, Copland and Franks (3), Szmedra and Bacharach (20), and Potteiger, et al. (15). These authors suggested that in the absence of external stimulation (e.g. music) participants may focus more strongly on their own efforts and perceive them to be higher. This reasoning provides an explanation as to why traditionally subjects experience decreased RPE, particularly in submaxial exercise where music has been shown to effectively dissociate sensations of fatigue and promote a more enjoyable exercise experience. However, this study evaluated music’s effectiveness on a maximal 1.5-mile run. The result of the two trials found the subjects rated perceived exertion without music listening (PEWOML = 14.7 ± 1.3) to be lower than ratings of perceived exertion with music listening (PEWML = 15.2 ± 2.4). Previous research by Yamishita and Iwai (22) suggest that music’s effect on RPE is limited by the intensity of the exercise. Schwartz et al. (17) experienced similar findings stating that at 75% V02max RPE values did not significantly differ for participants between music and control conditions. Accordingly, these findings share the similar reasoning of Rejeski (16) which suggest that when subjects work at maximal intensities beyond anaerobic threshold, physiological cues dominate the attentional processes leading to external cues, such as music, to become less effective on RPE. Additionally, the results indicate listening to music has no significant effect (p < .05) on rating of perceived exertion during a maximal 1.5-mile run. Therefore, the research null hypothesis regarding music’s effect on rating of perceived exertion has been accepted. Furthermore, female subjects were found to rate RPE more difficult while listening to music. This further supports that music’s dissociative properties exhibited in sub max exercise are not transferred into maximal exercise over 75% VO2 max.

It is important to note that although none of the trials were conducted in wet conditions, wind speed and wind direction could not be standardized between trials and this may have been an additional error source. Both performance trials were conducted outdoors at 75 degrees Fahrenheit. However, wind speeds differed between trials; trial one experienced wind speeds of 8 mph with gusts of 14 mph while trial two experienced wind speeds of 18 mph with gusts of 25 mph. Due to these confounding factors conducting the research indoors would have addressed this problem. Unfortunately, an indoor track was not yet available at the university where the research was conducted. Secondly, the participants completed the two running trials together as a group. A natural tendency to compete may have compromised the internal validity of the study. However, the threat to internal validity was preferred to the potential lack of motivation had participants been required to complete the task individually (18).

### Applications In Sport

Music has been found to be an ideal accompaniment for exercise. It has the ability to alter emotional and physiological arousal as well as dissociate a performer’s attention from sensations of fatigue during exercise (19). The tempo of the music can also be used to influence exercise performance as their arousal level will be heightened by the fast tempo (7). If music is applied to these types of situations, music’s impact may have the ability to change the context in which physical work or exercise is performed and become a viable way of positively influencing an individual’s disposition as well as performance (10).

Due to the aforementioned training benefits of listening to music coaches, trainers, as well as performers should be cognizant of this revelation when planning their training regimens. Obviously, this would be especially relevant when engaging in a training session that the athlete and/or coach/trainer identify as being particularly taxing on the performer’s physiological systems. This extra-musical association could very well promote thoughts that inspire physical activity or relaxation within the athlete. For example, an athlete may associate vigorous exercise with the theme from the popular “Rocky” movie series, or possibly dreams of Olympic glory from Vangelis’ “Chariots of Fire.” The resultant association can be attributed not only to the inherent musical characteristics, such as tempo or rhythm, but to the influence of elements of popular culture, such as cinema, television, and radio (6).

In general, the results of the research indicate that exercising to music makes training a more exciting and pleasant experience leading to improved performance. Accordingly, music used as a motivational aid can provide individuals an alternative to address the repetitiveness and mundane nature of many physical activities associated with aerobic performance training.

### Acknowledgements

The authors would like to acknowledge the efforts of Ms. Elizabeth Perez, administrative assistant, in the author’s department for her tireless efforts in support of this study. Her editorial prowess and knowledge of APA style was tremendously helpful in creating a quality manuscript.

### References

1. American College of Sports Medicine. ACSM’s guidelines for exercise testing and prescription (5th ed.). Baltimore, MD: Lippincott Williams & Wilkins, 2000.
2. Borg, E. and Kaijser, L. A comparison between three rating scales for perceived exertion and two different work tests. Scandinavian Journal of Medicine & Science in Sports, 16: 57-69, 2006.
3. Copland, B. and Franks, B. Effects of types and intensities of background music on treadmill endurance. The Journal of Sports Medicine and Physical Fitness, 31(1): 100-103, 1991.
4. Edworthy, J. and Waring, H. The effects of music tempo and loudness level on treadmill exercise. Ergonomics, 49: 1597-1610, 2006.
5. Gfeller, K. Musical components and styles preferred by young adults for aerobic fitness activities. Journal of Music Therapy, 25: 28-43, 1988.
6. Karageorghis, C. and Terry, P. The psychophysical effects of music in sport and exercise: a review. Journal of Sport Behavior, 20(1): 54-68, 1997.
7. Karageorghis, C., Terry, P., and Lane, A. Development and initial validation of an instrument to assess the motivational qualities of music in exercise and sport: The Brunel Music Rating Inventory. Journal of Sport Sciences, 17: 713-724, 1999.
8. Karageorghis, C., Jones, L., and Low, D. Relationship between exercise heart rate and music tempo preference. Research Quarterly for Exercise and Sport, 77(2): 240-251, 2006.
9. Karageorghis, C., and Priest, D. Music in Sport and Exercise: An update on research and application. The Sport Journal, 11(3): Retrieved October 25, 2008, from
<http://www.thesportjournal.org/article/music-sport-and-exercise-update-research-and-application>, 2008.
10. Mohammadzadeh, H., Tartibiyan, B., and Ahmadi, A. The effects of music on the perceived exertion rate and performance of trained and untrained individuals during progressive exercise. Physical Education and Sport, 6(1): 67-74, 2008.
11. Nethery, V. Competition between internal and external sources of information during mental exercise: influence on RPE and the impact of exercise load. Journal of Sports Medicine and Physical Fitness, 17: 172-178, 2002.
12. Nethery, V, Harmer, P, and Taaffe, D. Sensory mediation of perceived exertion during submaximal exercise. Journal of Human Movement Studies, 20: 201-211, 1991.
13. Noble, B. and Robertson, R. Perceived exertion. Champaign, IL: Human Kinetics, 1996.
14. O’Rourke, B.K. Email interview, March 5, 2011.
15. Potteiger, J., Schroeder, J., and Goff, K. Influence of music on rating of perceived exertion during 20 minutes of moderate intensity. Perceptual and Motor Skills, 91: 848-854, 2000.
16. Rejeski, W. Perceived exertion: An active or passive process. Journal of Sports Psychology, 75: 371-378, 1985.
17. Schwartz, S., Fernall, E., and Plowman, S. Effects of music on exercise performance. Journal of Cardiopulmonary Rehabilitation, 10: 312-316, 1990.
18. Simpson, S. and Karageorghis, C. The effects of synchronous music on 400-m sprint performance. Journal of Sport Sciences, 24(10): 1095-1102, 2006.
19. Smoll, F. and Schultz, R. Relationships among measures of preferred tempos and motor rhythm. Perceptual and Motor Skills, 8: 883-894, 1978.
20. Szmedra, L. and Bacharach, D. Effect of music on perceived exertion, plasma lactate, nor epinephrine, and cardiovascular homodynamic during treadmill running. Journal of Sports Medicine and Physical Fitness, 19(1): 32-37, 1998.
21. Thompson, D. and West, K. Ratings of perceived exertion to determine intensity during outdoor running. Canadian Journal of Applied Physiology, 23(1): 56-65, 1998.
22. Thornby, M., Haas, F., and Axen, K. Effect of distractive auditory-stimuli on exercise tolerance in patients with COPD. Chest, 107: 1213-1217, 1995.
23. Yamashita, S. and Iwa, K. Effects of music during exercise on RPE, heart rate and the autonomic nervous system. Journal of Sports Medicine and Physical Fitness, 46: 425-430, 2006.

### Tables

#### Table 1
Effects of Music Listening on Running Performance and RPE

Conditions Running Performance RPE
No Music Listening Music Listening No Music Listening Music Listening
Groups M SD M SD M SD M SD
Female (N=11) 14.51 3.81 13.74 1.98 14.73 1.35 15.82 1.60
Male (N=17) 11.94 2.69 11.70 2.49 14.65 1.37 14.76 2.77
Combined (N=28) 12.95 3.36 12.50 2.48 14.67 1.33 15.18 2.40

### Figures

#### Figure 1
Running performance mean comparison among groups

![Figure 1](/files/volume-14/440/figure-1.jpg)

#### Figure 2
RPE mean comparison among groups

![Figure 2](/files/volume-14/440/figure-2.jpg)

### Corresponding Author

Randy Bonnette, Ed.D.
Department of Kinesiology, Unit 5820
6300 Ocean Drive
Corpus Christi, TX 78412
<Randy.Bonnette@tamucc.edu>
(361)825-3317

Randy Bonnette is the chair of the Kinesiology Department in the College of Education at Texas A&M University – Corpus Christi.

2013-11-25T14:47:27-06:00January 3rd, 2012|Sports Exercise Science, Sports Management, Sports Studies and Sports Psychology|Comments Off on The Effect of Music Listening on Running Performance and Rating of Perceived Exertion of College Students

Implications of State Income Tax Policy on NBA Franchise Success: Tax Policy, Professional Sports, and Collective Bargaining

### Abstract

The paper examines the relationship between state income tax rates and the success of National Basketball Association (NBA) franchises. The model indicates that state income tax policy has an influence on team performance. The higher the rate for the top marginal tax bracket, the greater the negative bias on team performance. Team performance is dependent on the successful acquisition of quality resources which include players, coaches, and team management. The results infer that NBA franchises located in high tax states impose a burden on the ability of team ownership to attract the best resources in order to achieve success. The relationship could have broader implications on professional sports and their Collective Bargaining Agreements.

**Key words:** National Basketball Association (NBA), Professional Sports, Collective Bargaining Agreement (CBA), Salary Cap, Bias, Free Agency, State Income Tax Policy

### Introduction

The National Basketball Association (NBA) is a sports entertainment enterprise with yearly revenues surpassing $4 billion (5). The majority of these revenues are derived from ticket sales, merchandising and television revenues. The distribution of these revenues between franchises and players has been negotiated and is governed by the Collective Bargaining Agreement (CBA). The current version of the CBA was implemented before the 1984-85 season and was most recently re-negotiated prior to the 2005 season. The current CBA contract expires following the 2010-2011 NBA season, but league owners have the option to extend the agreement through the 2011-2012 NBA season (5).

A large component of the CBA is the provision of a salary cap. The salary cap dictates a fixed percentage of league revenues which are to be paid to players in terms of salaries and benefits. NBA teams are presented with a yearly salary cap number to be used as player compensation. This amount can only be exceeded utilizing certain exceptions as further defined by the CBA.

One justification for the salary cap is the concept that it is designed to benefit middle and small market teams. It is argued that larger market teams have significantly more ability to profit from ticket, merchandising and television revenues. This advantage could be used to enlist top talent by paying salaries far exceeding those of smaller markets. In using superior financial resources to lure and retain better talent (players, coaches and management), it is feared that larger market teams could dominate the league over a prolonged period.

The salary cap system, it is argued, should allow every NBA franchise an equal opportunity in acquiring and obtaining comparable resources. While not a perfect system, the CBA should work to distribute resources (player skill, coaching talent and management expertise) more evenly throughout the league. While the CBA only governs player salaries, the even distribution of quality players throughout the league should also dissuade quality coaches and management from concentrating and distribute them throughout the league.

League ownership believes that an equal chance of team success should promote larger game attendance and provide for a healthier competitive balance in the league. However, these goals have repeatedly been disputed in research (7, 3, 9) which have found increased disparity of play after the imposition of revenue sharing amongst teams and other results inconsistent with stated goals. This paper will extend this research by examining potential causes of the breakdown between the intended goals of the CBA and its results.

In assessing NBA franchise success, the incentive structure facing potential resources (players, coaches, management) should be examined. The different tax environment of NBA franchises is a potential variable which could disrupt league parity. It is argued in this paper that resources are influenced by the financial incentives created by varying state income tax rates applied to the differing NBA franchises based on location. The implications of these findings could have impacts on future CBA negotiations.

### Methodolgy

The study examines the potential for state tax income tax policy to influence NBA team success. The model employs data for eleven years (2000 through 2010) of previous NBA seasons. Also included are the rates (in percentage terms) for the individual states top marginal tax brackets for these eleven years.

The basketball data was assembled using information from a sports database website (6). The income tax bracket data was derived using information from the tax foundation website (10). For ease of computation and data gathering, only the top marginal tax bracket was used. As NBA salaries escalate, the importance of lower tax brackets becomes nominal.

The data from the Canadian-based team was removed. The examination is on the impact of income taxes on player decisions, which in the United States will be uniform at the federal level and vary only at the state level. Canadian players face differing income tax systems at both the federal and state/province level. Rather than trying to incorporate or properly account for these significant differences, the Canadian observations were removed.

A team’s success for a year is influenced by the players it has on the team from prior seasons. A proxy for the ability of players from prior seasons is created, which is the winning percentage for the team from prior years. Three years of winning percentages were lagged to account for anomalies in play in any one given year. While this proxy has shortcomings, it should provide a good baseline of team ability.

When a NBA team struggles to achieve success, the coaching position is often assessed. Coaching turnover in the NBA is prevalent and its impact on team performance must be considered. Teams will react differently to coaching change. Team ownership chooses a coach in the hopes that the new coach will develop player skills and enact schemes of play which will positively impact performance. For some teams, new coaching techniques might take some time to integrate into their play. For this reason, a lagged coaching change variable is created to account for this learning period.

A method for adding players is through the NBA draft. A variable is created to control for player acquisition through the player draft. A lagged variable is also created to account for maturation of these drafted players.

The use of financial incentives to pool resources in larger markets, has been somewhat muted by the CBA and the salary cap. However, larger metropolitan areas can provide amenities and lifestyle options not found in many smaller markets, which may still bias resources towards these markets. Additionally, salaries for coaches and management are not governed by the CBA and thus a larger market team could use financial resources to attract higher quality talent. To account for the potential residual bias in regard to market size, a control variable is created. The data incorporated is the 2000 Census Metropolitan Area found on the U.S. Census website (11).

NBA franchises attempt to achieve success by attracting the high-quality resources. These resources include players, both the addition and retention of high skilled free agents, coaches, and management personnel. While the significance of changes has been examined, particularly with regard to coaching and drafting of players, the issue of quality has not been addressed. The tax environment of each franchise may influence the potential of the team to attract the highest quality resources in order to achieve success. The tax environment of the team will bias the best resources (players, coaches, and management alike) towards certain franchises and away from others creating a performance bias. The decision process of these resources is contemplated the year prior to a given season. For this reason, the state income tax is lagged by a year.

The top marginal tax rate and metropolitan population for each team in 2010 is provided in Table 1. Tax information is time dependent and may vary in each year of the study. Also, in some instances teams switched host cities and states, such as the Sonics moving in 2008 from Seattle to Oklahoma. In these instances, not only would the tax information change, but so would the metropolitan population data. This type of movement increases data variation and helps to provide a more robust analysis. Descriptive statistics for all non-binary variables in the study are found in Table 2.

Using larger data sets can account for player injury. Player injury is frequent in the NBA and can have a substantial impact on team performance. By utilizing a large number of years, it can assume that player injury is random. Player injury is a risk every team takes when committing a large contract to a free agent. It is assumed that the risk of injury is normally distributed among the teams over a large sample.

The following equation is used to estimate the winning percentage of the team for the current season.

(Equation 1)

The dependent variable, WinPcti, t, represents the winning percentage of “i” team in the current “t” year. Yearly influences are captured through the use of a binary year variable Yeart, with the variable for 2005 dropped to prevent linear dependency. The regressor WinPcti,(t-1) is the winning percentage of the “i” team from one year prior. The variables WinPct(t-2) and WinPct(t-3), represent the winning percentage of the “i” team lagged two and three years respectively.

Coaching change is accommodated in the model through the Coachi,t variable. This is a binary variable and is positive if a new coach for the “i” team is in place at the start of current “t” year or if a coaching change is made during the year. To account for the potential of the learning period, this variable is further lagged one period and represented by the Coachi,(t-1) variable.

A NBA team can improve by changing its roster through the player draft.

The selection order of the NBA draft is the inverse of how the teams finished the season in terms of winning percentage. The draft is structured so that the worst teams, determined by winning percentage, have the best opportunity (in a lottery format) for high selections. In order to assess the influence of drafted players, a team is awarded points for the first pick in the first round of the NBA draft. Only the best pick was awarded points in the rare instance of a team having multiple first round picks. The first pick is awarded 30 points, scaled down one point for each pick down to the last pick of the first round which was awarded 1 point. The trading of draft picks is not considered as it is assumed the teams would require equal compensation for the traded draft pick.

The picking order of teams in the draft is scaled linearly. However, changes in player ability throughout the draft are likely non-linear. To account for the non-linear scaling of talent, draft points are squared to emphasis the ability of earlier picks to immediately influence team performance. The variable DraftSqri,t represents the value of the draft pick for team “i” going into the current “t” year. As these players mature and develop their skills, an additional lag variable DraftSqri,(t-1) is employed to capture these effects. The variable captures the lag effects for one period.

The variable MetroSizei represents the population of the metro or surrounding area to each NBA franchise. The variable is team dependent “i”, but is time invariant. The variable will detect larger market bias in the data.

Finally, the variable StateIncTaxi,(t-1) is the top marginal tax bracket for the state in which the “i” team competes lagged one period from the current “t” year. The variable will capture the effect of taxes on performance.

It is important to note that the dependent variable in “Equation 1” is integer-valued with a discrete distribution. To address this concern, it is possible to assume that the score differential Y is a manifestation of an underlying continuous variable Z. Where Y is determined by rounding Z to the nearest integer, and to assume Z follows the model (12):

(Equation 2)

Previous studies have indicated that for most purposes “Equation 1” provides an adequate approximation to the model determined by “Equation 2” (1). As a result, “Equation 1” can be estimated using ordinary least squares (OLS).

### RESULTS

The estimation results are presented in Table 3. The binary year variables are all shown to be insignificant, thus discounting the influence of yearly variation.

The prior two years’ season performances are an accurate predictor of a team’s level of play in the current season. The positive and significant coefficients two years lagged winning percentage implies commonality in team play over multiple seasons. The result also implies that it is difficult to altering a team success and may require several years of rebuilding a losing franchise. The third year being significant and negative suggests the cyclical nature of team success in a league governed by a salary cap restrictions and draft ordering process focused on parity.

The coaching variable is highly significant and negative. Rather than guiding a team towards success, a change in coaching personnel is associated with a negative response in team performance. There also does not appear to a learning curve with respect coaching change, as the lagged coaching variable is insignificant. Not only does the team suffer negatively in the short term from coaching change, the team does not improve in the longer term even after allowing time for the team to absorb the new coach’s playing philosophy.

The draft variables are shown to be insignificant. At least in the short term, drafted players do not have an impact on team performance in terms of winning percentage. The time required to develop these players may exceed the two years accounted for in this model. While accepting the potential for non-linear skill distribution of drafted players marginally increased the viability of the draft variable, it never appeared statistically significance.

Market size is shown not to bias team success. NBA franchises in larger markets are shown to be unable to significantly leverage their market size into acquiring superior skilled resources (players, coaches, and management) as reflected by team success.

Finally, of particular note is the significant and negative relationship between team success and state income tax policy. Teams which play in states with higher top marginal tax rates have less success and a lower winning percentage. The prolonged disparity in winning percentage is argued as an inherent bias of better resources avoiding teams in locations of high taxes. Teams in high tax states could have a more difficult time obtaining comparable talent compared to NBA franchises in low tax states.

### Conclusions

The study examined the potential incentive that state income taxes have on the ability of NBA teams to lure top talent and gain a competitive advantage. The results provide several insights which can be incorporated in the operation of the league and the collective bargaining agreements (CBA).

The results indicate commonality in team success over multiple periods. If a team wishes to alter its winning percentage, the data suggests that one season is insufficient to achieve this goal. Progress is only witnesses as a gradual process over several seasons.

The results also indicate that the window of opportunity for an established team having success is approximately two years before parity efforts begin to take affect and the team’s winning percentage begins to revert to the norm. Team management must understand that the opportunities for a successful team are fleeting and urgency is required for decisions during this period to maximize winning potential.

Once a decision is made to reconstitute a team, it is difficult to accomplish this task quickly. Fans are inherently impatient, which often manifests itself in team management making hasty decisions with regard to coaching. Coaching change is shown to have a negative impact on team performance. The data suggests that rebuilding progress can only be witnessed gradually.

The impact of the NBA draft is shown to have a negligible immediate impact term team performance in the short term. The benefits of the draft do not materialize in the model, even when considering the potential of a non-linear distribution of skill level in the draft. Also of negligible importance on team success is market size. The argument that larger markets can attract superior players due to lifestyle benefits and superior coaches/management through financial considerations is unsubstantiated by the data.

Finally, it is determined that a state’s top marginal tax bracket in which a particular team plays has a negative influence on the team’s success. The data suggests that NBA teams in states with high income taxes are negatively biased when attempting to lure superior talent in terms of player ability, coaching talent or management skill. The state tax influence on team success is indirect, suggesting that subsequent research can be done to detect the direct method of transmission of this influence through players, coaches, management, or some combination. Further research can also be conducted to determine if other professional sports exhibit a similar negative relationship between state tax policy and team success.

### Application In Sports

The Collective Bargaining Agreement (CBA) was recently renegotiated in the NBA. If owners and players in professional sports are interested in promoting league parity, thus ensuring an equal chance of team success and fan excitement, perhaps they should consider a scaled salary cap to benefit teams in high-taxed markets. A tax adjustment index could be applied to the salary cap thus ensuring equal opportunity to acquire equal resources and minimizing the negative bias.

### Tables

#### Table 1
State Income Tax Rate (Highest Marginal Bracket)

Team State Top Marginal Tax Bracket Market Size (2000 Census)
Metropolitan Areas (in millions)
Blazers OR 11.00% 2.265223
Clippers CA 10.55% 16.373645
Kings CA 10.55% 1.796857
Lakers CA 10.55% 16.373645
Warriors CA 10.55% 7.039362
Knicks NY 8.97% 21.199865
Nets NJ 8.97% 21.199865
Wizards Washington, DC 8.50% 7.608070
Wolves MN 7.85% 2.968806
Bobcats NC 7.75% 1.499293
Bucks WI 7.75% 1.689572
Cavs OH 5.9325% 2.945831
Grizzlies TN 6.00% 1.135614
Hawks GA 6.00% 4.112198
NO-Hornets LA 6.00% 1.337726
Sonics OK 5.50% 1.083346
Celtics MA 5.30% 5.819100
Jazz UT 5.00% 1.333914
Nuggets CO 4.63% 2.581506
Suns AZ 4.54% 3.251876
Pistons MI 4.35% 5.456428
Pacers IN 3.40% 1.607486
76ers PA 3.07% 6.188463
Bulls IL 3.00% 9.157540
Heat FL 0.00% 3.876380
Magic FL 0.00% 1.644561
Mavs TX 0.00% 5.221801
Rockets TX 0.00% 4.669571
Spurs TX 0.00% 1.592383

Tax data from [Tax Foundation Website](http://www.taxfoundation.org)

Population data from [U.S. Census](http://www.factfinder.census.gov)

#### Table 2
Descriptive Statistics

Variable Observations Mean Standard Deviation Min Max
Winning Pct 312 0.5030 0.1503 0.15 0.82
Tax Rate 312 0.0539 0.0342 0.00 0.11
Draft Position 312 13.3494 10.2441 0.00 30.00
Metro Size (in millions) 312 5.7900 5.7315 1.08 21.20

#### Table 3
Basketball Team Winning Percentage Estimation

Variable Coefficient Standard Error
Variable Coefficient Standard Error
Constant 0.2464
2001 -0.0175 0.0310
2002 -0.0162 0.0309
2003 -0.0290 0.0309
2004 -0.0050 0.0310
2006 -0.0105 0.0303
2007 -0.0379 0.0306
2008 -0.0279 0.0308
2009 -0.0094 0.0304
2010 -0.0195 0.0300
Win Pct Lagged 1 Year (WinPct(t-1)) 0.5656 0.0942***
Win Pct Lagged 2 Year (WinPct(t-2)) 0.1586 0.0963*
Win Pct Lagged 3 Year (WinPct(t-3)) -0.1148 0.0587**
Coach (Coachi,t) -0.0808 0.0155***
Coach Lagged 1 Year (Coachi,(t-1)) -0.0066 0.0160
Draft Squared (DraftSqri,t) 0.00005 0.00004
Draft Squared Lagged 1 Year (DraftSqri,(t-1)) 0.00006 0.00004
Metro Size (MetroSizei) -0.0011 0.0012
State Income Tax Lagged 1 Year (StateIncTaxi,(t-1)) -0.4167 0.2167**
Observation 281
R-squared 0.4612
F(18,262), Prob>F 12.46 0.0000***

* Significant at the 10% level
** Significant at the 5% level
*** Significant at the 1% level

### References

1. Harville, D. (2003). The Selection or Seeding of College Basketball or Football Teams for Postseason Competition. Journal of the American Statistical Association. 98, 17-27.
2. Kahn, Lawrence M. (Summer, 2000). The Sports Business as a Labor Market Laboratory. The Journal of Economic Perspectives. 14 (3), 75-94.
3. Kaplan, R. A. (October, 2004). The NBA Luxury Tax Model: A Misguided Regulatory Regime. Columbia Law Review. 104 (6), 1615-1650.
4. Kendall, T.D. (October, 2003). Spillovers, Complementarities, and Sorting in Labor Markets with an Application to Professional Sports. Southern Economic Journal. 70 (2), 389-402.
5. NBA data website: www.insidehoops.com.
6. NBA data website: www.basketballreference.com.
7. Rosen, S. and Sanderson A. (February, 2001). Labour Markets in Professional Sports. The Economic Journal. 111 (469), F47-F68.
8. Scully, Gerald W. (March, 2004). Player Salary Share and the Distribution of Player Earnings. Managerial and Decision Economics. 25 (2), Sports Economics, 77-86.
9. Szymanski, S. and Kesenne, S. (March, 2004). Competitive Balance and Gate Revenue Sharing in Team Sports. The Journal of Industrial Economics. 52 (1), 165-177.
10. Marginal Tax Data: www.taxfoundation.org.
11. United States Census Data: <http://www.factfinder.census.gov>.
12. Zimmer, Timothy and Kuethe, Todd. (2008). Major Conference Bias and the NCAA Men’s Basketball Tournament. Economics Bulletin. 12 (17), 1-6.
13. Zodrow, G., and Mieszkowski, P. (1986). Pigou, tiebout, property taxation, and the underprovision of local public goods. Journal of Urban Economics. 19, 356-370.

### Corresponding Author

Timothy E. Zimmer, Ph.D.
6718 W. Stonegate Dr.
Zionsville, IN 46077
timothyzimmer@alumni.purdue.edu
317-769-0336

### Author Bio

Tim Zimmer is an adjunct professor of economics at Butler University.

2016-05-16T11:16:23-05:00January 2nd, 2012|Sports Management, Sports Studies and Sports Psychology|Comments Off on Implications of State Income Tax Policy on NBA Franchise Success: Tax Policy, Professional Sports, and Collective Bargaining

Rowing Ergometer Physiological Tests do not Predict On-Water Performance

### Abstract

Many studies have examined the relationship between 2000m rowing ergometer performance and physiological variables, often suggesting that rowing ergometer performance models can be used to predict on-water performance. While studies have examined the kinematic, oxygen consumption, and electromyography similarities between rowing ergometry and on-water rowing, this is the first study to examine the relationship between physiological variables measured on the ergometer and 2000m performance on the water.

Nineteen elite heavyweight male rowers (26.2 ± 3.6 years, 92.2 ± 4.3 kg, 192.2 ± 4.5 cm) participated in the study. All testing was done over a two-week period. A 2000m (2K) on-water pursuit time trial in single scull boats, where the athletes started 30 seconds apart and competed over a 2K course for time, and a 2K ergometer performance test, were conducted on consecutive days in the first week. A progressive continuous incremental ergometer VO2 max and a modified 45s rowing Wingate test, to measure peak (Peak 45) and average power (Ave 45), were performed a week later. Ventilatory threshold (VT) was determined from a plot of VE/VO2. All ergometer testing was done on a Concept II model C rowing ergometer.

While Pearson correlations showed that VO2 max (r = -0.55, p< 0.05), Peak 45 (r = -0.43, p< 0.05), and Power at VO2 max (r= -0.733, p< 0.05) were significantly related to 2K ergometer performance, there was no correlation between any of the measured variables and 2K on-water performance (Height, r=0.273; Weight, r=0.373; VO2 max, r=0.049; VT, r=0.043; Peak 45, r= -0.229; Ave 45, r= -0.200; Power at VO2 max, r= -0.292). Additionally, there was no correlation between 2K ergometer performance scores and 2K on water performance scores (r= 0.120). The data suggest that physiological and performance tests performed on a rowing ergometer are not good indicators of on water performance. While it is a common practice for many, rowing coaches and sport scientists should be cautious when using the rowing ergometer to predict on water performance or select rowing crews.

**Key Words:** Rowing, physiological tests, ergometer, on water

### Introduction

The rowing ergometer (erg) has become an important tool for training and physiological monitoring of rowers. The erg has allowed sport scientists and researchers to overcome environmental factors such as current, water temperature, and wind, that can make physiological monitoring and research on rowers difficult. As a result researchers have been able to study and describe the relationship between a variety of physiological variables and rowing ergometer performance (2,10,11,13,16 ).

The repeatability of results within a brand and between models of a brand of ergometer (12,15) is quite good but there are differences in the physiological responses to rowing on different ergometers (3,6,7). While the ergometer has aided in the advancement of the body of knowledge on rowing, rowers criticize the “feel” of the ergometer compared to rowing on water. During the recovery phase of the rowing stroke on water, the mass of the boat slides underneath the rower (7). On most brands of rowing ergometer the opposite occurs, the mass of the rower must move up and down the slide bar during recovery and leg drive (7).

Other than the single study where Urhausen, Weiler, and Kindermann (14) examined the differences in the heart rate-lactate relationship between on-water and ergometer rowing and found that, for a given level of lactate, heart rate values were significantly higher on the water, the relationship between rowing ergometer physiological data to on-water performance has not been studied extensively. The purpose of this study was to examine the relationship between rowing ergometer physiological and performance data to 2000m on-water rowing performance.

### Methods

#### Participants

Nineteen heavyweight male rowers (26.2  3.6 years, 92.2  4.3 kg, 192.2  4.5 cm) who were part of a Canadian National Team training camp participated in the study. Sixteen of the subjects went on to compete at the World Championships. All testing was done over a two-week period. All athletes agreed to participate in physiological monitoring as part of their training program. All procedures were approved by the Rowing Canada Sports Science and Medicine Committee.

#### Rowing time trial (2K row)

A 2000m time trial in single scull boats was performed on the first day of the investigation. Athletes reported to the lake at 7:00 am and were given 60 minutes to prepare for the time trial. Each athlete performed a self-selected warm-up similar to what they would use before racing. Following the warm-up, athletes reported to the start line and were sent off 30s apart. The time trial was also being used for ranking in the team selection process; increasing the athlete’s motivation to perform well. All athletes were familiar with the technique involved in sculling, having raced or trained in sculling boats in the previous six months.

#### Maximal 45s sprint test

A modified Wingate sprint test on the Concept II Model C rowing ergometer was performed 90 minutes following the maximal oxygen uptake test. Subjects performed a self-selected warm-up for 10 minutes. After the warm-up the ergometer was programmed for a 45s trial and the damper was set to provide a “drag factor” of 200, the maximum that is normally attained on a used ergometer. Because dust, worn parts and other factors can affect the amount of resistance provided by each stop in the resistance control dial, the “drag factor” is the method used on the Concept II Model C ergometer for standardizing the resistance setting between ergometers.

Participants performed an all-out 45s effort with verbal encouragement. Participants were asked to row full strokes on each stroke of the test rather than use the partial strokes that are often incorporated at the start of a race. Power (W) for every stroke was calculated and displayed on the Concept II computer and recorded by the investigators. Peak power (Peak 45) was the highest power obtained on any individual stroke. Mean power (Mean 45) was the average of the individual stroke power over the 45s trial as calculated by the Concept II computer.

#### Ergometer time trial (2K erg)

On the second day of the investigation all subjects completed a 2000m rowing ergometer time trial. Subjects reported to the ergometer centre at 7:00 am and were given 60 minutes to prepare for the time trial. They followed similar warm-up procedures to those they did for the on-water trial the previous day. All subjects started the time trial at the same time to create a competitive atmosphere. Prior to the start of the time trial each rowing ergometer was calibrated to a “drag factor” of 120, which is the drag factor that was in use for all selection-based testing.

#### Maximal oxygen uptake (VO2 max)

One week after the ergometer time trial, maximal oxygen uptake was measured using a Parvomedics True One metabolic cart (Parvomedics Inc, Park City Utah). Subjects performed a continuous incremental test on the Concept II Model C rowing ergometer. All subjects started at 290 watts, increasing wattage by 30 watts every three minutes throughout the test. The test was stopped when the subjects reached volitional fatigue or were unable to complete a stage within five watts of the intended wattage. Power at VO2 max (VO2 power) was determined as the average power for the final stage of the test as calculated by the Concept II computer.

#### Anaerobic Threshold (AT)

Anaerobic threshold (AT) in L/min of oxygen and power at anaerobic threshold (AT power) were determined from a plot of VE/VO2 using the procedure described by Caiozzo et al (1982).

#### Statistical Analysis

Pearson correlation coefficients (r) were calculated to establish the relationship between rowing ergometer physiological parameters and on-water rowing performance. A Student T-test was used to determine whether a difference existed between on-water rowing 2K time and 2K ergometer time. Statistical significance was determined using a probability level of p<0.05.

### Results

The 2K ergometer times (6:05.4± 5.5s) were significantly faster than the 2K row times (7:35.7 ±11.4s) (p<0.05). There was no correlation between 2K ergometer performance scores and 2K row performance scores (figure 1).

The mean VO2 max score was 5.9 ±0.4 L/min or 63.7±4.1 ml/kg/min. Power at VO2 max averaged 442.5 ±25.5 Watts. Both VO2 power (figure 2) and VO2 max (table 1) were significantly correlated to 2K erg but not to 2K row.

Anaerobic threshold (AT) occurred at 4.9 ± 0.3 L/min or oxygen which was 83.4± 4 percent of VO2 max. AT power ranged from 332-418 watts with a mean of 368.5 ± 21.3. AT power, but not AT, was correlated to 2K erg performance (Table 1). Neither was correlated with 2K water performance.

Peak 45 values ranged from 770-1134 Watts with a mean of 927.6 ± 95.3. There was a significant correlation between Peak 45 and 2K erg times but not with 2K row (table 1). Mean45 values ranged from 737-896 watts with a mean of 796.9 ± 74.2. There was no correlation between Mean45 and either 2K erg or 2K row.

### Discussion

Monitoring training and changes in physiological parameters is a challenge in rowing. Changes in weather and water conditions between tests can make it difficult to compare data and draw valid conclusions. Rowing ergometers were originally designed so that rowers in colder climates could continue to train in a fashion similar to their sport during periods when they could not be on the water. The ability to perform a rowing movement in a controlled environment made the rowing ergometer an attractive tool for monitoring changes in physiological variables. The findings of the present study are consistent with others (10,11) that have found significant correlations between rowing ergometer 2000m performance and VO2 max, AT and maximal power from a modified Wingate test performed on the same type of ergometers. The relationship between VO2 max and 2K erg performance in the current study is lower than that seen by Ingham et al. (4) and Cosgrove et al. (2), who found r = 0.88 and r = 0.85, respectively. Cosgrove (2) studied club level college-aged males of varying ability and while the Ingham study examined World Championship finalists both males and females as well as lightweight and heavyweight rowers were included in the analysis, creating a more heterogeneous group. The subjects in the current study were more homogenous in respect to their 2K erg times compared to other studies; 5:59-6:12 in the current study compared to ranges of 7:32.9- 8:07 in Riechman et al. (10), 6:20-7:26-in Russel et al. (11) and 6:30-7:45 in Cosgrove et al (2). Because a sport performance is multifaceted, with physiological, biomechanical, technical and psychological factors all playing roles in the final outcome, as the group performance becomes more homogenous it is less likely that any single physiological variable will be a strong distinguisher of performance.

One of the main purposes of determining the relationship between different physiological variables and rowing performance is to identify those variables that need to be trained to maximize performance (10). The current study demonstrates that although there may be a relationship between some physiological variables and rowing ergometer performance there is no relationship between physiological variables measured on a rowing ergometer and on-water performance in a group of elite heavyweight male rowers. This is the first study to directly compare the relationship between physiological variables determined on a rowing ergometer to on-water performance. Juimae et al. (5) examined the relationships among anthropometric variables, ergometer, and on-water performance, finding that only muscle mass correlated to on-water single scull performance while almost all anthropometric variables were related to ergometer performance. The lack of relationship between physiological or anthropometric predictors of ergometer performance and on-water performance is not surprising given that the relationship between on-water performance scores and ergometer performance scores can vary greatly across boat classes and levels of competition.

In two separate studies that examined the relationship between World Championship ranking or Junior World Championship ranking and 2000m ergometer performance Mikulic et al. (8) and Mikulic et al. (9) found significant correlations in 10 of 13 World Junior events and 17 of 23 World Championship events, but the standard errors were too large to establish accurate ranking predictions for any of the events. The highest correlations (r=0.92) were seen in the junior women’s single scull event, followed by the junior men’s single scull (r=0.80) and the junior women’s double scull (r=0.79). In contrast to the r = 0.12 of the current study, the senior men’s single scull had an r = 0.72. Some of the difference in results of the Mikulic studies (8,9) compared to the current study may be due to the nature of the variables correlated. In both Mikulic studies (8,9) the correlations were with final World or Junior World Championship rankings, whereas the present study looked at the relationship between actual times rowing on the water versus rowing the ergometer. In the Mikulic studies (8,9), the highest correlations were seen in sculling boats, particularly the singles. Athletes competing at a World Championship in sculling boats are normally specialists in that discipline. In the current study although all athletes were familiar with sculling and spent some of their time training in single sculls, 14 of the 19 were not sculling specialists. The lowest correlations in Mikulic’s work (8,9) were also seen in sweep rowers competing in larger boats r = 0.47 for the heavyweight men’s eight and r = 0.21 for the lightweight men’s eight. Ergometer rowing is technically more similar to sculling than to sweep rowing, the technical differences between the sculling specialists and non-specialists may explain the difference in correlations seen in the current study. This clearly supports the notion that there are differences between rowing ergometer performance and on-water rowing performance, particularly for sweep rowing athletes, and that physiological variables determined on the rowing ergometer may not be good predictors of performance on the water.

### Applications In Sport

This study reinforces what many coaches already know; there is more to a rowing performance than physiological test results or rowing ergometer performance scores. Ergometer rowing requires less skill than on-water rowing (10). Rowing technique on the water is a complex skill that requires balance, efficiency, and maintaining the boat speed during the recovery phase. These factors cannot be measured on an ergometer. This makes the rowing ergometer a good tool for studying and tracking physiological changes that occur during a rowing movement and can help coaches identify those athletes who have a large discrepancy between ergometer and on-water performances that may be technique related. However, caution needs to be exercised when trying to extrapolate rowing ergometer performance and physiological scores to on-water performance.

### Tables

#### Table 1

Physiological Variable 2K erg 2K row
Peak 45 -0.426* -0.229
Mean 45 -0.321 -0.200
AT power -0.470* -0.267
AT -0.320 0.043
VO2 max -0.555* 0.049

* p< 0.05

### References

1. Caiozzo, V.J., Davis, J.A., Ellis, J.F., Azus, J.L., Vandagriff, R., Prietto, C.A., & McMaster, W.C. (1982). A comparison of gas exchange indices used to detect the anaerobic threshold. J Appl Physiol. 53, 1184–1189.
2. Cosgrove, M., Wilson, J., Watt, D., & Grant, S. (1999). The relationship between selected physiological variables of rowers and rowing performance as determined by a 2000m ergometer test. J. Sports Sci. 17, 845-852.
3. Hahn, A.G., Tumilty, D.M., Shakespear, P., Rowe, P., & Telford, R.D. (1988). Physiological testing of oarswomen on Gjessing and Concept II rowing ergometers. Excel. 5, 19-22.
4. Ingham, SA., Whyte, GP., Jones, K., & Nevill, A.M. (2002). Determinants of 2000m rowing ergometer performance in elite rowers. Eur. J. Appl. Physiol. 88, 243-246.
5. Jurimae, J., Maestu J. Jurimae T. & Pihl, E. (2000) Prediction of rowing performance on single sculls from metabolic and anthropometric variables, J. Hum. Mov. Stud. 38, 123-36.
6. Lormes, W., Buckwitz, R., Rehbein, H., & Steinacker, J.M.(1993). Performance and blood lactate on Gjessing and Concept II rowing ergometers. Int J Sports Med. 14(Suppl 1), S29-S31.
7. Mahony, N., Donne, B., & O’Brien, M. (1999). A comparison of physiological responses to rowing on friction-loaded and air-braked ergometers. J Sports Sci. 17, 143-149.
8. Mikulic, P., Smoljanovic, T., Bojanic, I., Hannafin, JA., & Pedisic, Z, (2009). Does 2000m rowing ergometer performance correlate with final rankings at the World Junior Rowing Championship? A case study of 398 elite junior rowers. Journal of Sports Sciences. 27, 361-366.
9. Mikulic, P., Smoljanovic, T., Bojanic, I., Hannafin, JA., & Matkovic, B, (2009). Relationship between 2000m rowing ergometer performance times and World Rowing Championships rankings in elite standard rowers. Journal of Sports Sciences. 27, 907-913.
10. Reichman, S., Zoeller, R., Balasekaran, G., Goss, F., & Robertson, R. (2002). Prediction of 2000m indoor rowing performance using a 30s sprint and maximal oxygen uptake. J. Sport Sci. 20, 681-687.
11. Russell, A., Le Rossignol, P., & Sparrow, W. (1998). Prediction of elite schoolboy 2000m rowing ergometer performance from metabolic, anthropometric and strength variables. J. Sport Sci. 16, 749-754.
12. Soper, C., & Hume, P.A.(2004). Reliability of power output during rowing changes with ergometer type and race distance. Sports Biomech. 3, 237-224.
13. Tachinaba, K., Yashiro, K., Miyazaki, J., Ikegami, Y., & Higuchi, M. (2007). Muscle cross sectional area and performance power of limbs and trunk in the rowing motion. Sports Biomechanics. 6, 44-58.
14. Urhausen, A., Weiler, B., & Kinderman, W. (1993). Heart rate, blood lactate, and catecholamines during ergometer and on-water rowing. Int. J. Sports Med. 14, Suppl 1, 20-23.
15. Vogler, A., Rice, A., & Withers, R. (2007). Physiological responses to exercise on different models of the Concept II rowing ergometer. Int. J. Sports Physiol and Perf., 2, 360-370.
16. Womack CJ. Davis SE. Wood CM. Sauer, K., Alvarez, J., Weltman, A., & Gaesser, G. (1996). Effects of training on physiological correlates of rowing ergometry performance. J. Strength Cond. Res. 10, 234-238.

### Coresponding Author

Ed McNeely
560 Proudfoot Lane #1012
London, Ontario
N6H 5C9
Canada
613-371-8913
<e.mcneely@rogers.com>

### Author Bio

Ed McNeely is the senior physiologist at the Peak Centre for Human Performance and a partner in StrengthPro Inc. a Las Vegas based sport and fitness consulting company he is also a National Faculty member of the United States Sports Academy

2013-11-25T14:48:40-06:00January 2nd, 2012|Sports Exercise Science, Sports Management, Sports Studies and Sports Psychology|Comments Off on Rowing Ergometer Physiological Tests do not Predict On-Water Performance

Psychological and Physiological Effects of Aquatic Exercise Program Among the Elderly

### Abstract

The purpose of this study was to investigate the effectiveness of a 3-week daily physical activity program in outdoor spring hot water on joint mobility and mood state in 31 healthy elderly people aged between 60 and 82. The variables comprising mood state were positive engagement revitalization, tranquillity and physical exhaustion whereas joint mobility focused on shoulder flexibility. Subjects were allocated to one exercise group (n= 20) and one control group (n=11). The exercise group participated in a 45-minute-per-day aquatic exercise program in hot water for 20 consecutive days whereas the control group didn’t participate in any kind of organized exercise. Subjects were pre- and post-tested for the variables of mood state and shoulder flexibility. The results indicate that the elderly people who participated in the outdoor aquatic exercise program had significant improvements in positive engagement (z=2.4, p<.05), revitalization (z=2.8, p<.05), tranquillity (z=2.8, p<.05), physical exhaustion (z=2.7, p<.05), and shoulder flexibility (t=9.25, p<.05). No significant changes in these variables were observed in the control group. The results indicate that an aquatic exercise program is an alternative training method for improving psychological state and functional fitness performance in healthy elderly people.

**Key Words:** elderly, aquatic training program, mood state, joint mobility.

### Introduction

Evidence shows that increase of age is associated with the decline of many motor functions, (1,18,8,17) and the subsequent disenabling of performance of basic daily requirements. In addition, as individuals progress beyond 60 years of age, there are also tendencies for increased prevalence of mood disturbance; i.e., increased negative effect and decreased positive effect; (6). Past research on activity, aging and psychological well-being has concluded that exercise has a positive effect on psychological well-being (12). Exercise prescribed for the elderly differs from that of younger individuals in the method in which it is applied. Since an elderly person is more fragile and has to overcome more physical and medical limitations in comparison to younger individuals, training methods should not include high impact activities, and possibly a more gradual training progression (2).

Exercising in water has become widely prominent, and it has been reported that water exercise, especially in hot water, is therapeutically beneficial for elderly individuals (3).Water exercise is also a viable form of conditioning for those who are suffering orthopaedic problems (20). Training in water provides buoyancy and a required resistance for training, resulting in a training regimen that provides high levels of energy expenditure with relatively low impact on the joint extremities (21). Furthermore, this method of training is more motivating for overweight individuals because their bodies are not exposed to other participants (9). The authors of the present study hypothesized that participation of the elderly in a daily physical activity program in hot water, would improve their physiological and psychological status. Specifically, the purpose of this study was to investigate the effect of a daily physical activity program in an outdoor hot water spring, on joint mobility and mood state in older men and women.

### Methods

#### Subjects

Subjects in this study were 31 independently living elderly volunteers (6 males, 25 females) ranging in age from 60 to 82 years old (M = 71, SD = 5), with body weights between 63kg and 86kg (M=75.7, SD=5.5), and heights between 154cm and 163cm (M=156, SD=3). Subjects were recruited from a resort community in Edipsos, Greece during the summer of 2009. None of the elderly had been involved in any physical activity for at least 6 months before the exercise program began. They were assigned randomly into one experimental group (n=20) and one control group (n=11). Participants were graduates of elementary education (55.1%) and the majority of them were retired (71.5%). Their previous profession was 31.3% civil servants, and 42.3% free professionals. The majority of them (79.4%) were married and living with their spouses (65.4%). The greater part of the participants (65.5%) had a moderate daily mobility level according to the AAHPERD exercise consent form for adults (16). The subjects also had similar health status. Specifically, the participants of this study did not suffer from serious cardiovascular problems (coronary illness, infarction) respiratory or neurological diseases or serious orthopaedic problems. The more prominent health problems that they faced were of orthopaedic nature (34.4%) as well as high blood pressure (31.5%), which did not constitute obstacles to their participation in the research. Therefore, no subject was excluded for medical reasons. Subjects who missed more than four exercise sessions were excluded from the analysis.

#### Procedures

The experimental procedure was 20 days in duration, with 1 day of pretesting and 1 day of post-testing. The pre- and post-exercise assessments were performed by the same person for both groups. In an effort to ensure maximum compliance with the program, the same instructor conducted the intervention program in all groups. The intervention program took place in an outdoor swimming pool consisting of 100 % spring water at 34 ºC located in the Revitalization Club. The 12-item Exercise-Induced Feeling Inventory (7) was employed to assess the responses of positive engagement (enthusiastic, happy and upbeat), revitalization (refreshed, energetic and revived), tranquility (calm, relaxed and peaceful), and physical exhaustion (fatigued, tired and worn-out) that arise as a result of exercise participation. On a 5-point scale, subjects were asked to indicate how strongly they had experienced each feeling state immediately after one hour of exercise. The scale ranged from 0 (do not feel) to 4 (feel very strongly). Internal consistency exceeded .70 for each subscale (11). Flexibility measurement focusing on the shoulder was based on the Senior Fitness Test. This test was done in the standing position. The subject placed one hand behind the head and back over the shoulder, and reached as far as possible down the middle of the back, with palm were touching the body and the fingers directed downwards. They placed the other arm behind their back, palm facing outward and fingers upward and reached up as far as possible attempting to touch or overlap the middle fingers of both hands. An assistant directed the subjects so that their fingers were aligned, and measured the distance between the tips of the middle fingers. If the fingertips touched then the score was zero. If they did not touch, the distance between the fingers tips was measured (a negative score). A positive score was measured by how far the fingers overlapped. Subjects practiced two times, and tested two times. The best score to the nearest centimeter was recorded. (18).

##### Preprogram procedures

Prior to enrollment in the training program, all subjects who wanted to participate in the study were required to provide a signed letter of clearance from their personal general physician regarding their participation in the program. At the onset of the program, individuals were informed that they would be participating in a 45-minute-per-day aquatic exercise program for 20 consecutive days, and were given a brief demonstration of the program content. Information forms were then distributed to all individuals volunteering to participate in the investigation.

Once informed consent forms were read and signed by all subjects, a preprogram questionnaire packet was distributed. During the first day, both experimental and control groups completed the Revised Physical Activity Readiness Questionnaire (22) and a short demographic questionnaire assessing age, height, weight, and mobility level (16). Finally, before the training program began, each participant completed the Exercise-Induced Feeling Inventory (EFI), and participated in shoulder flexibility measurements.

##### Intervention Program

The experimental group participated in a 45-minute aquatic exercise program for 20 consecutive days. The control group was not involved in the exercise program but participated in spring water bath therapy. The exercise program was based on the Long Term Physical Activity Workshop (4), and consisted of 15 minutes of warm-up and callisthenic exercises for the improvement of flexibility, 10 minutes of resistance exercise, 10 minutes of endurance-type exercise (walking and dancing), and 10 minutes of cool-down exercise and leisure activities for the reinforcement of self-esteem and self confidence. The exercise intensity recommended by the American Heart Association varied from 50% to 75% of the subject’s maximum heart rate, as determined by a pilot study. However, no heart rates were recorded during the study. Instead subjects were taught to monitor their pulse rate according to perceived exertion (4). During exercise, the Borg Scale (6 – 20) was used to monitor perceived exertion relative to exercise intensity. Self-monitoring how hard their body was working helped them adjust the intensity of the activity by speeding up or slowing down their movements. The elderly exercisers were working in the Moderate (12-14) exertion range. Also, subjects were able to speak in their normal voices and tones during the exercise, in order to maintain a consistent heart rate and exercise intensity.

##### Post-program Procedures

At the conclusion of the aquatic exercise program, on the 21st day, each participant once again completed the EFI and shoulder flexibility measurement.

##### Stastistical Analysis

All data analyses were performed using SPSS, version 14.0. The normality of the distribution and the equality of variances for all variables were checked with the Kolmogorov-Smirnov test for each group. Bartlett-Box and Cochran’s C tests were used to identify differences among groups of the selected items. From the pretest, there were no differences beyond the .05 level of significance between any of the two groups. Wilcoxon test for two related samples was used to compare differences of means scores between the initial and final measurements of both the experimental and control groups in the mood state variables. Comparisons of means scores between the initial and final measurements of two groups in the shoulder flexibility parameter were performed using a paired t-test analysis.

### Results

The results revealed significant differences between pre- and post- measures for the experimental group regarding the four subscales of mood state (Table 1). In contrast, there were no changes in mood state for the control group at pre- and post- measures on any of the 4 subscales. As shown in table 1, after a 45-minute-per-day aquatic exercise program for 20 consecutive days, there was a marked increase in reported variables of mood state for the experimental group while the control group showed no changes during the same period of time.

The aquatic exercise program induced significant improvement in shoulder flexibility. In particular, the t-test for paired groups analysis revealed that shoulder flexibility had significantly improved in the experimental group (t=9.25, p<.05), while no significant difference was observed in the control group (t=0.89, p>.05). Scores for the pre- and post-tests for both groups on the selected variable are shown in figure 2.

### Discussion

The results reveal that a 45-minute-per-day aquatic exercise program for 20 consecutive days produced significant improvements in mood state as well as in shoulder flexibility of sedentary elderly people. The lack of improvement for the subjects of the control group gives additional support to the idea that the program applied was responsible for the improvement of the experimental group. It seems that even a 20-day aquatic exercise program is capable of producing significant changes in basic physiological and psychological variables similar to the ones in the present study. Significant improvements in the elderly in a number of physical abilities after following a training program have been reported by researchers. Takeshima et al., (21), reported significant improvements in 45 elderly women (60-75 yrs. of age) who had participated in a 12-wk supervised water exercise program, 70 minutes per day, 3 days per week, in cardiovascular fitness, muscle strength and power, flexibility, agility, and subcutaneous fat. Additionally, the exercising group demonstrated an improvement in pulmonary function and blood lipids. In 2006, Tsourlou et al. (23), reported significant improvements in a number of physical abilities (maximal isometric torque of knee extensors and knee flexors, grip strength and dynamic strength during chest press, knee extension, lat pull down, and leg press, jumping performance functional mobility, and trunk flexion) in 22 healthy women over 60 years of age, after their participation in a 24-week aquatic training program.

Furthermore, these results are consistent with the conclusions of previous studies reporting changes in elements of psychological well-being in terms of physical activity. These changes are referred to as enhanced perceptions of mastery (11), improved life satisfaction (14), and mood (15,5,10) as well as reduced negative affect of psychological state. Moreover, similar results were found in a 12-week investigation by Whitlatch et al. (24). In addition, Moore and Blumental’s narrative review (13) with older adults, focusing on specific elements of mood, supported the positive role of aerobic exercise in reducing negative affect.

### Conclusions

The results of the present study indicate that water-based exercise elicits significant improvement in psychological well-being and joint mobility in the elderly. Specifically, a 45-minute–per-day aquatic exercise program in hot water for 20 consecutive days can result in considerably better positive engagement, revitalization, and tranquillity, as well as joint mobility focused on shoulder flexibility, in older men and women. Moreover, it may provide additional benefits by reducing negative mood in terms of physical exhaustion. Therefore, water-based exercise is one of the most potent alternative training methods for improving basic elements of their psychological and physiological health.

### Applications In Sport

Overall, the findings of the present investigation should be adopted by public and private institutes that offer water-based exercise programs for older men and women. Elderly people’s participation in a 45-minute aquatic exercise regimen for 20 consecutive days with various enjoyable activities results in significant improvements to general shoulder range of motion, facilitating their performance at common activities of daily living and allowing them to maintain independent lifestyles. Besides, their participation in this kind of program makes them familiar and sociable persons. This suggests that water-based exercise may be a valuable short- term strategy for the self regulation of mood in older people. Finally, practical exercise prescriptions from instructors must take into account the special interests and needs of the elderly, inducing happiness, tranquillity, pleasant tiredness and, at the same time, initiating progressive improvement in general physical and psychological health.

### Acknowledgments

We acknowledge the participants for their voluntary involvement in this study.

### Tables

#### Table 1
Means, Standard deviations and Wilcoxon test for mood state variables in the pretest and post-test measurements for elderly people in experimental and control groups.

Variables Experimental Group Control Group
pre-test post-test pre-test post-test
M SD M SD z sig M SD M SD z sig
Positive Engagement 1.5 0.5 3.6 0.2 2.4 .01 1.2 0.3 1.5 0.4 0.0 1.0
Tranquility 2 0.6 2.9 0.8 2.8 .00 1.5 0.4 1.5 0.2 0.9 .30
Physical Exhaustion 1 0.3 0.5 0.2 2.7 .00 0.5 0.3 0.6 0.3 0.0 1.0

### Figures

#### Figure 2
Pre-test and Post-test shoulder flexibility in older men and women in both experimental and control groups.

![Figure 2](/files/volume-14/439/figure-2.jpg)

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### Corresponding Author

Matsouka Ourania
Lecturer
Department of Physical Education & Sport Sciences
University of Thrace
Komotini, 69100
Greece
<oumatsou@phyed.duth.gr>

2013-11-25T14:48:57-06:00January 2nd, 2012|Sports Coaching, Sports Management, Sports Studies and Sports Psychology|Comments Off on Psychological and Physiological Effects of Aquatic Exercise Program Among the Elderly
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