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Has the Road Towards Strict CBA
Regulations in the NBA Caused Market Size
Wage Premium to Diminish?
By: Chris Precourt
Abstract:
The National Basketball Association has a much different economic landscape today than
it did 30 years ago when David Stern’s tenure as NBA commissioner began. The league of the
past years had a Collective Bargaining Agreement signed by team owners and players that posed
minimal structure or regulations to avoid monopolistic market power. The league also lacked a
globalized atmosphere, and saw only a handful of teams thriving on the court and financially.
He has since created a global atmosphere in the league, recruiting an array of talented players
from countries globally and the worldwide fan base has increased exponentially. These factors
have proven to be a crucial in achieving the profitability and impressive net worth the association
now enjoys. More importantly, the regulation and enforcement of stricter CBA rules has created
a much more competitive marketplace within the NBA and small market teams have been able to
build successful teams around a talented core of players. Using player data from the 1993-1994
season, before strict CBA regulations were implemented, and the 2011-2012 season, after the
2010 lockout, two OLS estimated models comprised of the same independent variables are
compared to one another. The estimates suggest that market size and other economics factors of
a country no longer cause a salary premium for players among different NBA teams or foreign
players from different regions of the world, which has been a historical trend in the NBA.
Various other individual specific characteristics are regressed on a player’s salary, in addition to
market size, to analyze how the age of stricter CBA agreements has changed the structure of
salary disbursement in the NBA.
A. Introduction
The National Basketball Association has not always been the thriving powerhouse that
now dominates the attention of millions of intensely adoring fans all over the world. In today’s
society, professional basketball players are highly admired and it is no secret that they earn a
bigger salary than most people are able to dream of. When David Stern became the NBA
commissioner in 1984, the league had a much less promising financial outlook and global
presence. With a net worth of 15 million dollars and a handful of teams on the brink of
bankruptcy, Stern proved to be a visionary businessman, realizing the NBA had fundamental
flaws in various aspects of its structural and financial foundation. He acknowledged that
basketball was loved and appreciated in countries all over the world, bringing to light the
potential profit that the league could generate if the proper initiatives to globalize the league
were taken. He also noted that a small handful of large markets in the NBA, including New
York, Los Angeles, and Chicago were sharing the majority of market share and financial success
at the time. He knew what he had to do to turn the NBA into a dominant business.
Stern utilized resources such as internet social media to attract international fans, strong
recruitment to find the top foreign talent, and the signing of various contracts with international
television networks to expand its boundaries across the world. Between the years of 1999 and
2008, the league increased its number of internationally born players from 35 to over 80 and the
league has reaped huge financial benefits. International fans have contributed to the modern-day
success of the NBA through a heavy increase in merchandise sales, global media attention and
broadcasts, and an overall larger fan base.
Turning the league into a global wonder was only the beginning stage of a long journey
to success for Stern. He and his committee of team owners have instituted various financial
regulations through the Collective Bargaining Agreement, which must be agreed upon and
signed by a chosen committee of NBA players. Such negotiations have benefitted teams of all
market sizes and the overall profitability in the league. Before Stern’s reign, teams in largely
populated cities with rich owners dominated league market share by employing all the top tier
players. When the league existed in an economic environment that implemented no salary cap,
the teams in small markets were simply outbidded on any player with premier talent. The first
significant CBA agreement was signed after the 1995 season, which regimented a salary
structure highly resembling that of non-sports unions. Such unions are generally adopted to
institutionalize a wage structure and reduce productivity-based wages.
Stern’s rule over the last 3 decades has transformed the league into a multi-billion dollar
association. Nearly all 30 teams are making a yearly profit from basketball related revenues and
NBA stars are much more evenly dispersed throughout teams of varying market sizes. A team
existing in a market outside of the largest and most attractive cities no longer seems to be the
impediment to profitability that it once was.
The presence of international players in the NBA has greatly increased team revenues,
and indicates why internationally born players have portrayed a tendency to earn a wage
premium over American-born players throughout the years since Stern’s arrival. However, the
newly globalized NBA market is seen now as a “Basketball Sanctuary”, with players from all
over the globe eager for the chance to play in the NBA, creating a high level of potential supply.
With only 60 new players granted to play in the NBA through the yearly draft and the leagues
economic structure having already gone through its peak of globalization, demand for foreign
players has balanced off to equilibrium. As a result, team managers have a lot more bargaining
power to negotiate lower wages with international players, which might result in a diminished
salary premium for those born in and coming to the NBA from a large market.
Is market size even a significant variable in the current economic structure of salary
disbursement in the NBA? In the past, large market teams have enjoyed the most success and
their fans have always been spoiled with the best talent. If stricter CBA agreement enforcements
have taken the ability of large market teams to pay a premium for NBA stars and top prospected
foreign players, this could have major beneficial implications for the fans of teams that have
suffered through years of losing and missing the playoffs. Teams of all market sizes may
potentially have equal opportunity to lock in top talent in the NBA and build winning teams,
which has been an up and coming trend in the NBA. More and more teams that have missed the
playoffs for years are now building a strong core around All-Star players, which portrays a
development that could be seen more and more as time passes if market size no longer pays a
premium of the economics of NBA salary disbursement.
B. Literature
Different trends and regulations surrounding salary disbursement have occurred over the
decades in the NBA. There are numerous complicated factors in the economy that have led to the
changing structure of the Collective Bargaining Agreement, but what has ultimately resulted is a
thriving NBA marketplace that is seemingly set to flourish in the future. Much of the literature
reviewed surrounding the topic of NBA disbursement was conducted during the 1990’s and early
2000’s, portraying insight on the ever-changing foundation of a players earnings:
a) Market Size Salary Discrimination
The internationalization and globalization the NBA incorporated into its culture gave rise to a
heavy influx of foreign players in the league and increase in profits from international revenues.
Escker (2004) provided an analysis with the goal of determining how foreign-born players fared
in salary compared to American-born players. This idea posed an interesting debate because
these international players would theoretically be generating millions of dollars for the NBA by
attracting a larger fan base, more international telecasting of games, and increased merchandise
sales. The author concluded that during the 1996-1997 season foreign players earned a wage
premium of nearly 20%.
Using panel data of 618 NBA players between the 1999-2000 and 2007-2008 seasons,
yielding an unbalanced panel of 3,051 observations, and employing the technique of two-stage
double fixed-effect model, Yang (2012), gave empirical results which portrayed a premium for
market-size from two different vanity points. Foreign-market size was a significant variable in a
regression composed of foreign-born players only and domestic market size was significant in a
regression composed off American-born players. The article also indicated foreign-born players
earns 17.4% less than an American- born players, ceteris paribus. Although international players
were earning a wage premium due to their home-country size (per capita GDP, population), they
still earned less overall in relation to American-born players.
The unique approach to this article presented seemed effective and valid. For the first stage
of the model, the research adopted the standard earning equation, a linear OLS model with player
individual-specific characteristics as independent variables and the logarithm of salary as the
dependent variable. The individual wage premium (ui) attributed to unobserved heterogeneity
among players represented the error term. This error term was regressed on a set of new
variables, which comprises of the second stage analysis. Results from this stage portrayed that
market size was a significant factor for American-born players and foreign- market size was
significant in regards to a foreign-born player’s salary. These results were parallel with the
economics of the NBA during the 1990’s. Large market teams were still paying star-players a
huge premium allowing smaller markets from thriving due to a lack of regulations and teams
were also able to spend top dollar to secure highly prospected foreign players.
b) CBA Agreements
There is much evidence that this premium for market size could be due to a lack of proper
regulation within the NBA’s financial structure prior to 1995. Salary structure was very loosely
constrained compared to the current NBA, which proved to be a financial benefit to the players.
Hill and Jolly (2012) review how some of the past revisions to the CBA have changed the
outlook for salary disbursement over the years.
First, in 1995, the union and league negotiated a rookie scale agreement into the 1995
CBA, in which each first-round draft pick had a designated salary that decreased in scale from
the first to the last pick and covered the players’ first 3 years in the NBA. Afterward, the players
became free agents and their salaries were determined by competitive market forces, loosely
constrained by a salary cap. Regression results indicate that pay for experience and efficiency
level is higher under a rookie scale CBA. Second round picks and undrafted players were simply
paid a league minimum wage. Using quintile regression results, the conclusion is drawn that the
most productive players suffered the greatest rent transfer. The elite players were suddenly
incapable of earning a sky-high salary premium over other players due to the salary cap and the
rookie salary scale meant the most talented rookies were earning much less than their potential.
In the 1999 NBA CBA agreement, the players agreed to a salary cap on individual
players’ salaries, set as a percentage of the team salary cap and escalated by years of experience
and the rookie scale was changed to 4 years instead of 3. A player’s team can retain their first-
round pick for a fourth season at a percentage salary increase set by the CBA. The salary
percentages start at 26.1 percent for the first pick in the draft and increase to 80.5 percent for the
twenty-ninth pick in the first round. These changes are meant to decrease the gap in the salary
distribution of first round picks for the teams that want to retain these players for a fourth season.
In 2005 the CBA implemented a rule forcing any team that has a payroll over a certain
threshold limit to pay a 100 percent tax to the league for the overage. Basketball related income
(BRI) salary dispersion is a common topic of discussion at CBA meetings and presented a point
of disagreement between the negotiating sides in 2010 that nearly costed the NBA the entire
season. The season was reduced to 66 games because it took months for players to accept the
owners request to lower BRI paid out as salary from 57% to 49%. The United States recession
that started in 2008 caused many teams to lose money, thus owners demanded this be accounted
for in the form of paying players a smaller salary. The resulting agreement that revived the
2011-2012 season calls for a revenue split of 49-to-51.2% and a flexible salary cap structure with
harsher luxury tax. A harsher luxury tax was implemented to prevent teams from exceeding their
cap space and thus squandering the monopolistic type power they had enjoyed more freely just
years earlier.
c) Racial Salary Premium
Even with CBA agreements that have applied such restriction on pay in recent years,
questions still remain as to whether racial discrimination still exists among salary disbursement
in the NBA. Back in the early 1970’s, blacks comprised of about 50% of the players in the NBA,
which is a much lower percentage than is seen in the league today. Black players, however, have
not always been fairly compensated. This was portrayed not only in the 1970’s (Mogull, 1981),
but also persisted into the 1980’s.
Koch and Vander Hill (1988) employed a classic wage model using several player
characteristics and also controlled for race, in which they concluded a wage premium for white
players of 13%. The most common explanation for this phenomena was racial customer
discrimination in which owners or fans preferred having white players on their team and thus
paid them a premium. Rehnstrom (2010), concluded that there is a significant white premium of
24.5%, but the statistics used were overall career statistics rather than just representing a single
season. This econometric model detected racial discrimination among salary and was statistically
significant at the 1% level of confidence.
Kahn and Shah (2005) also investigated racial salary discrimination in the NBA using
data from the 2001-2002 NBA season. This article used a different approach, looking for racial
salary effects among different groups of players. The first group, consisting of rookies not
included in the rookie salary scale and players who were not free agents, showed nonwhite
shortfalls in salary. The rookie salary scale defines set salaries for players drafted in the first
round of the NBA draft regardless of position played, productivity stats, or race. Players who
were not under the rookie salary scale and veteran free agents, however, did not suffer from
racial salary differences. The reasoning behind their conclusion was that union pay scales and
competition in the free agent market had caused racial pay differences to disappear, which is
another key change the strict CBA agreements have caused in salary disbursement. Although the
early days of the NBA clearly portrayed racial salary discrimination against black players, the
economics of the league has seemingly sorted this issue out and there is increasing evidence that
racial discrimination has disappeared in the NBA.
d) College as Human Capital
A crucial decision that many college basketball players must make regarding their future
salary is how long they should play college basketball before advancing into the NBA. Human
capital represents the natural ability, skill set, experiences, and know how a worker brings to the
job. In the NBA, human capital is developed throughout a player’s high school and college years
as well as years spent in the NBA. For the athlete, the college years are a period of time when
players develop their athletic talent and the NBA draft is modeled as the League's assessment of
the stock of human capital each player has acquired at the start of his career in the NBA.
Langelett (2012) analyzed how many years of college lead to players being the best
compensated. The phrase “better compensated” was measured by the total salary earned in the
first 10 years of a player’s career. The opportunity cost of playing in college is the salary that the
player could be earning in the NBA, which is the reason that some of the most talented players
skip college to start making a top salary earlier in their career. Hypothetically, the most talented
players could be making tens of millions of dollars yearly in the NBA rather than spend their
time developing their skills and human capital in college.
Using both OLS and a Heckit model, the results show great variation 3 different groups
salary earnings in the NBA: Players drafted out of high school earned on average $43.5 million
in the first 10 years of their career, while the mean for college seniors is $15.9 million, and for
foreign players is $17 .4 million. The main reason that those drafted directly out of high school
showed such a drastic difference in compensation over the first ten years of their career is
because a majority of the players that have the raw to skip college basketball end up becoming
superstars later in their career. This also suggests that whether a player becomes an All-Star
caliber player or not is much more indicative of their future salary than the amount of years they
spend in college.
e) All-Star and Contract Year Premium
The NBA has always created a high level of buzz across the media for its annual All-star
weekend, as the most talented and popular basketball players from each conference take the big
stage to play against each other. Hayles (2006) uses general OLS estimates to regress All-Star, a
dummy variable representing whether a player has been an All-Star in the previous 5 NBA
seasons on player salary and reports a 36% wage premium in 2006 for such players. This is a
variable that has never been proven insignificant throughout any era of NBA history. This makes
sense because regardless of the restrictions set in the CBA, All-Star level players are always in
high demand and require higher salaries to be obtained, whether they play in large markets or
small markets.
The effects of a multi-year NBA contract on a player’s performance is a factor that has
been analyzed by Arcidiacono (2010). Players have to work hard to earn a multi-year contract,
but in theory may stop working as efficiently once they have signed a contract, a phenomena
known as ex-post opportunistic behavior, or shirking. The coefficient on the ANTE variable
measuring performance in the year prior to a contract signing year, had a positive coefficient and
it statistically significant at the 0.1% level, while the coefficient on the ex-post variable
measuring performance the year after signing a contract was not statistically significant.
f) Player Position Premium
All-Stars, along with centers, have classically been portrayed as the divisions of players
that have seemed to earn the largest wage premium above other players. There has been an
unwritten rule that has resonated through the history of the NBA called “air supremacy” in which
taller players have inherently been paid more because there is an advantage to having a player on
a team that has reached the 7 foot mark. Another common subject for debate when it comes to
player compensation in the NBA is whether or not the returns of salary on attributes may vary by
player position for low-salary, low-skill, bench-warmers on a team relative to high-salary, high-
skill superstars.
Quantile regression procedures are used by Agessa (2008) to measure the return to player
attributes for the two groups at different salary levels along the distribution of NBA salaries.
Agessa reported that the coefficient on big men was significant and portrays that big men earn
18% more than guards, with all other attributes held constant during the 2001-2002 season.
Another interesting finding was that the coefficient on experience was significant for guards of
every skill level, but the coefficients were much larger for players at intermediate levels relative
to low-skill players and superstars. This represents greater returns to human capital accumulation
for the intermediate level guards in the league. Very similar findings were shown for big men as
well, with the addition that intermediate level and high-skill big men were compensated much
better for blocks per game relative to low skill big men. With respect to the restrictive CBA
agreements it makes sense that the intermediate skill level players would see the highest
fluctuations in salary, as rookies are placed on a rookie scale and top tier players are limited by
the salary cap.
II. Theory
In sports, there are many economic factors at work behind the decisions that are made by
team managers and there is much money at stake. This can make it difficult to theorize exactly
how we expect certain variables to behave among salary dispersion in a sports environment.
Based on the new economic structure of the NBA, and a little common sense, most of these ideas
and variables can be predicted in a way that makes theoretical sense.
The history of the league would indicate that variables such as player position, draft pick,
and on court performance statistics would all be significant in relation to salary. We might
expect to see that a center would earn more than any other position because a quality center in
the NBA is a rare treasure to come across, so a team that has the opportunity to pay a premium to
obtain a quality center may have feel they have enough incentive to do so. Another hypothetical
reason that centers might earn a salary premium is because their bodies are bigger and taller and
are considered more prone to injury. This would indicate that they should be compensated more
to account for their higher likelihood of having their career prematurely ending, so such a
premium might be included as an insurance policy for such unforeseen factors.
Alternatively, the CBA agreements may very well have created a competitive enough
market among all players in the NBA that this premium for centers may have diminished. There
is also the factor that teams are always chasing after players of different positions based upon
their needs, and thus may have the same incentive to pay premiums for quality guards or
forwards. Given the complexity of the matter we don’t know for sure what to expect with regards
to a salary premium for player positions, but given that centers are fairly difficult to come across
and are taller than players at every other position, it seems fair that centers might still be paid a
premium over other positions.
Being selected lower in the draft, such as the first or second pick, is another factor that
would seemingly lead to a salary premium in a player’s career because draft selections are
essentially an evaluation of talent by teams hoping to select the most talented player before
another team can. However, back in the 1990’s and earlier, the Collective Bargaining Agreement
in the NBA had many fewer restrictions and the most productive and valuable players were
likely to earn a huge salary premium over all other players. Each new CBA Agreement that has
been passed has seen the reigns of control tighten within the NBA so draft pick may have a much
less significant effect on future salary than before. With the newly implemented rookie scale
causing wages to remain relatively close for players in their first four years in the league, we
know that draft pick will be insignificant until at least a player’s fifth year.
It could be fairly assumed that experience in the league would have a positive correlation
with salary. It is logical to assume that as a player gains more experience in the NBA they
increase their value to the team and improve their overall skill level. As a player gains more
experience beyond their fourth year in the league they also break free of the rookie scale and
earn a salary based on competitive market forces. However, experience might not lead to a
premium in every scenario, such as a player that carries a bad attitude or reputation. Adding an
experience-squared variable is necessary when we are analyzing an experience variable because
we would expect that after a given amount of years, this player will begin to age and might see
his productivity and youthful talent diminish, and thus this variable should have a negative
relationship with salary in theory.
As far as productivity statistics are concerned, we would expect an increase in almost any
category (points, rebounds, assists, steals, and blocks) to translate into a wage premium because
the most productive athletes should theoretically be paid the most. Every stat in this case is a
vital component to the NBA because players at different positions excel in different categories.
Centers are more likely to block more shots and pull down rebounds off of missed shots, while
guards are more likely to dish out assists and score points. Forwards are a versatile bunch and
can perform well in multiple categories. The players with the greatest productivity statistics are
typically the most desired by prospective teams who are willing to pay them a premium for the
added value they will contribute to the team. Overall, we would theoretically expect such
variables to have some degree of a positive relationship with salary, however it isn’t obvious
how these variables will rank in order from most to least significant. It could be predicted that
points, assists, and rebounds would be the most significantly related since they are the three stats
that come up most prominently throughout a basketball game. Alternatively, players may not
earn a premium based on any productivity statistics in the current NBA economy with strict
CBA ruling, so these variables are difficult to predict with certainty.
The variable All-Star, which designates a player has been selected to play in the All-Star
within the past 5 seasons, should have a very significantly positive relationship with salary
regardless of whether we are looking at a time period before or after the CBA implemented its
strict ruling fist. The variable portrays an array of attributes about a player ranging from a
player’s popularity, value, and reputation of supremacy. Players that are going to start in the All-
Star Game rather than come off the bench are voted in by the fans and the rest of the All-Star
team is voted in by the head coaches of the league, portraying popularity among the general
population and with personnel with close ties to the league. When All-Stars are on the market as
free agents, they should in theory be the most sought after players because they have the aura of
being elite and of a caliber that could take a team to the next level. All of these factors provide
significant enough evidence that a player who has been an All-Star will earn a wage premium.
The most difficult variable to predict in regards to its relationship with salary is market
size. In my analysis, a market size premium will be measured two different ways: whether it
exists among domestic markets of NBA teams and whether there is a premium for foreign-born
players that are generating a high level of international buzz around the NBA. Historically, the
larger the market size that an NBA player is associated with, the larger the wage premium he
earns, which has also been the case for international players born in a larger market generating
more revenue for the NBA. Prior to certain structural changes of the NBA, it could have been
said with a fair amount of certainty that market size directly affects the salary that athletes are
paid. There are reasons to believe that the impact of market size on salary could greatly be
reduced in today’s economy. The current Collective Bargaining Agreement has changed the
structural backbone of salary dispersion and thus market size might have lost is strong
relationship with salary. The newly institutionalized salary cap and various other restrictions
within the current CBA cause it to be unclear whether we can expect market size to shape the
salary of an NBA player.
III. Data
For my analysis, I plan to compare salary disbursement determinants between the 1993-
1994 season and the 2011-2012 season. The mid 1990’s was the last year in the NBA before the
Collective Bargaining Agreement began to impose restrictions that broke up the monopolistic
power of rich teams, while 2012 is the season directly after the most constraining CBA
agreement was signed. Many of the variables selected to be tested as potential determinants of
salary disparity for NBA players during the 2011-2012 NBA season were retrieved from
Dougstats.com, a website that contains yearly statistics for both the MLB and NBA for each of
the previous 25 seasons, dating back to the 1988-1989 season. The statistics include team
statistics, such as overall record and a plethora of individual player statistics. The individual
statistics that were relevant for my research were recorded as yearly totals on Dougstats.com and
included: games played, minutes played, points, rebounds, assists, steals, and blocks. Other, non-
varying statistics included the position of the player and the player’s respective team.
Nearly every other individual player statistic was collected from the official website of
the NBA. This site is loaded with advanced statistics about every team and player, and includes a
biography for every player with qualitative information about every year of that player’s career.
My salary dispersion research required me to find the country of birth of all NBA players, in
which NBA.com conveniently presented a list of foreign born players that were active on an
NBA roster during every NBA season, the home country of each player, their current contract
length, whether or not they played for a playoff caliber team that year, their overall tenure in the
league, their draft positioning, and the salary they earned during 2011-2012 season. Lastly I used
Google.com to find the per capita income of the population and overall population in each NBA
city to determine if a strong economy and large fan base was a variable causing a salary
premium.
My analysis utilizes a general OLS estimated regression model. The natural logarithm of
a player’s salary will be used as the dependent variable regressed on various individual
characteristics that are representative of potential factors of salary premium among NBA players.
The two regressions will include all of the same variables so results can be compared between
the 1993-1994 and 2011-2012 seasons:
(1)
LnSalary = C0 + C1(Center)i + C2(PG)i + C3(SG)i + C4(All-Star)i + C5(Draft)i + C6(Exp)i
+ C7(ExpSq)i + C8(LnMarket) + C9(BPG)i + C10(SPG)i + C11(APG)i + C12(RPG)i +
C13(PPG)i + C14(PPG)i + C15(Africa)i +C16(Asia-Pacific)i + C17(Caribbean)i +
C18(Europe)i + Ui
Many of these variables were created as dummy variables for which a player would
receive a “1” if they possessed the trait described by such variable, or a “0” otherwise. The
dummy variables included in this regression include: “Center”, “PG”, “SG”, “All-star”, “Africa”,
“Asia-Pacific”, “Caribbean”, and “Europe”. Each player was designated a “1” for the variable
“All-Star” if they had been an All-Star at some point in their career. I designated the variable to
players who had been an All-Star at some point in their career rather than only the players that
were All-Stars the year prior for specific purposes. Measuring this variable using players who
have been in the All-Star game within the last five years of his career portrays a more accurate
evaluation of All-Star value rather than just selecting players that were players in the previous
year, as this method could potentially leave out many players that have All-Star value. The
variables “Center”, “PG”, and “SG” portray player positions, including center, point guard, and
shooting guard. I excluded small forwards and power forwards from the regression so that the
parameter estimates on guards and centers could be compared to those of forwards. The final
four dummy variables designate different regions of the world that players were potentially born
in. These regions are self-explanatory based on the variable names but nonetheless include:
Africa, the Asia-Pacific region, the Caribbean (including South America), and Europe. American
born players received a “1” for the variable “America”, designating that a player was born in
America, but this variable was excluded from the regressions Variables of different regions of
the world will be used to measure the significance in foreign-market size on a foreign-born
player’s salary.
All of the data I collected from dougstats.com for each player was in terms of yearly totals. I
took stats such as total points, assists, rebounds, steals, and blocks and divided each by a players
total games played. This created the variables of points per game; “PPG”, assists per game;
“APG”, “rebounds per game; “RPG”, blocks per game; “BPG”, and steals per game; “SPG”. The
dependent variable “LnSalary” is the natural logarithm of a player’s salary during the 2011-2012
season, which is the first year after the 2010 NBA lockout. This is a point of interest because the
aftermath of the lockout could potentially have a major impact on salary dispersion in the NBA
compared to years past. I used the natural logarithm to make the salary variable more normally
distributed, which helps to account for any outliers that would skew the parameter estimates.
There is potential for outliers because the top paid players in the league earn more than 20
million while the player’s with the smallest salaries earn less than 300,000. Also, with the
logarithmic function, regression coefficients are semi-elasticities, showing the approximate
percentage change in income for a one-unit increase in an explanatory variable, which makes
more sense when conducting a salary analysis such as this.
The variable “Exp” represents experience in the league, in other words, number of years
that a player has been in the league prior to the season of interest. “ExpSq” is the square of the
experience variable and is used as a means of capturing the diminishing marginal returns from
experience, due to aging and declining from their “peak” period. The variable “Draft” represents
the number pick each player was in their respective drafts, 1-60. If a player graduated college
and made it into the NBA undrafted, they received a 61 for this variable. More perceived
potential talent is represented by a lower number draft pick, such as first or second.
The last independent variables are “LnMarket” and “LnCapita”. These represent the
natural logarithm of the population of the city of each player’s team and the natural logarithm of
the per capita income from each respective city. The natural logarithm aids in tightening the
range of population measurement between relatively small markets and cities with considerably
larger markets, such as Los Angeles and New York City.
I determined that all of these independent variables were acceptable to put in the same
regression because none of them were correlated strongly enough to skew the parameter
estimates. The variables that were the closest to portraying multicollinearity were on-court
statistics. Points per game has a correlation coefficient of 0.59 in 1993-1994 and a coefficient of
0.58 in 2011-2012 with assists per game, 0.58 in 93-94’ and 0.58 in 11-12’ with rebounds per
game, 0.64 in 93-94’ and 0.65 in 11-12’ with steals per game which were all moderately high,
but not significant enough to determine that these variables would skew the estimates. The
variables “LnMarket”, “LnSalary”, and “Draft” also had no correlation with any other variables
that exceeded 0.60 and thus these were acceptable to include with all other variables. The
number I used as a benchmark to dismiss a variable from the regression was a correlation
coefficient of 0.70 which never proved to be an issue.
The fact that the natural logarithm was used on market size and player salary created a
very small range in the maximum and minimum values of these two variables. The logarithm
function decreased the range in the salary variable “LnSalary” to a minimum value of 10.65 and
a maximum value of 17.04 in 2011-2012 and a minimum of 12.51 and a maximum value of
16.87 in 1993-1994, which is a much smaller range when considering that salary for some
players is higher than 20 million and less than 1 million for some. The range in the market
variable, “LnMarket” was also very small with a minimum value of 5.27 and a maximum value
of 6.99 in 2011-2012 and a minimum value of 4.60 and a maximum value of 7.31 in 1993-1994.
Cities such as Los Angeles have a population over 9 million and a smaller market such as
Portland, Oregon has a population of less than a million, so the logarithm served as a vital tool in
decreasing such a wide range and bringing values within a range that excludes the potential for
heteroskedasticity in the results.
The on-court statistics were not tampered with because they didn’t portray any potential
outliers. These statistics interestingly showed very similar trends in both time periods with the
mean, maximum, and minimum values in all categories within a small range of each other. The
descriptive statistics and correlation coefficients are all accurate measures because my variables
didn’t include any missing data.
IV. Results
The financial and economic landscape in the NBA was structured much differently
during the 1993-1994 season than it is today. During this time span, the NBA and its owners
passed various restrictive regulations through several CBA agreements that have become crucial
to the league’s success and competitive environment. The most surprising aspect was that a
majority of the variables had parameter estimates that came close to what should have been
expected in economic theory.
The significance and magnitude of the estimates on the productivity statistics were
difficult to predict, but can all be logically explained by the economic outlook during each time
period. The 1993-1994 season showed a wage premium for increasing statistics in nearly every
productivity category, except assists per game. Meanwhile the 2011-2012 season portrayed a
wage premium for just points, assists, and rebounds, excluding blocks and steals. Every point per
game that a player averages in 2011-2012 increases his salary by 2.1%, while each assist per
game increases salary by 4.8% and each rebound increases salary by 7.4%. In 1993-1994, each
point per game increased salary by 2.5%, each rebound by 9.4%, each block by 6.0%, and each
steal by 4.7%.
Blocks are significant in the 1990’s and are no longer appear to be so today as centers
alike showed not to earn a wage premium in 2011-2012. If centers are no longer being paid extra
for their height and unique talents, it logically follows that players will see the premium diminish
for blocks per game, as centers block more shots on average than any other position. It also
makes sense that players only see a small increase in their salary for every extra point and a
premium higher than 9% or every rebound because players are more likely to average more
points than rebounds. A solid scorer in the league can average anywhere from 15 to 30 points
whereas a dominant rebounder generally won’t average more than 15 rebounds.
The variables “All-Star” and “Exp” were both expected to be positive and highly
significant and both variables were at the 1% significance level. During the 1993-1994 season
there was a 75.4% wage premium on the “All-Star” variable and a 12.2% wage premium for
each year of experience. During the 2011-2012 season, these variables caused premiums of
62.4% and 21.2% respectively. The premium is likely higher for All-Star level players in the
1990’s because there was lack of a strict salary cap, meaning teams in rich markets were able to
pay All-Star players such a premium, whereas the salary cap is strictly enforced nowadays. The
reason experienced players are paid a larger premium today than in the 90’s could be a result of
disbursed wages as a result of economic rent accumulated from paying rookies and young
players under a “rookie scale” system. There could be various other reasons why these variables
have shifted slightly over time, but it is no surprise that these variables have remained
statistically significant when regressed on salary. The variable “ExpSq” was also statistically
significant at the 1% level and had a negative parameter estimate for both time periods. Players
do not keep their young, agile, lightning-quick abilities forever, so this simply portrays the
diminishing effect that experience will have on salary over time as a player will eventually age
after their peak years.
The variable “draft” turned out to be significant at the 1% significance level for both time
periods, however the magnitude of wage premium for being picked earlier in the draft was much
larger during the 1993-1994 season at 10.1% than in 2011-2012 at 1.4%. This may be directly
due to the rookie salary scale that has been implemented since 1995. This premium is likely
diminished because players earn similar salaries for the first 4 years of their career under the
recent CBA agreement. The negative parameter estimates on the draft variables actually model a
positive relationship because a low draft number portrays more talent potential, hence why it is
measured backwards.
The previously analyzed variables share a portion of the story, but market size variables
are the missing pieces to the puzzle. Without taking “LnMarket”, “LnCapita”, and the four
foreign region variables into consideration, we don’t see the true effect that the CBA has had on
the NBA’s success and financial capabilities of teams in smaller markets. All of these variables
were significant in 1993-1994 to at least the 5% significance level, whereas during the 2011-
2012 season, each and every one of these variables was statistically insignificant.
In 1993-1994, players in densely populated markets, designated by “LnMarket”, earned a
13.7% wage premium and a 22.3% premium was earned in markets with higher per capita
incomes, represented by “LnCapita”. The 2011-2012 season data results portray that market
forces are no longer playing a prominent role in player’s salary. Significant factors pertaining to
market size during the 93-94’ showed that before regulations were set, markets had freer reign to
pay top talent whatever they required to lock them into a contract. However, now that the CBA
has gone through various structural changes, more talent is falling into the hands of smaller
market teams and market related variables are no longer significant in the wage equation.
The variables that represented foreign player country of birth: “Africa”, “Asia-Pacific”,
“Caribbean”, and “Europe”, proved to provide another point of interest in showing how CBA
agreements over the years have ultimately changed the structure of salary disbursement. The
league was experiencing huge revenue gains from the introduction of more international players
over the last few decades and foreign players have been paid a premium based upon the country
they originate from. Yang (2012), attributed this premium to a foreign markets population, GDP,
and presence of a basketball league, which can all theoretically lead to a wage premium when
these players enter the NBA.
During the 1993-1994 season, players from Africa earned a 10.6% premium, from Asia
earned a 5.6% premium, from the Caribbean earned a 7.3% premium, and from Europe earned a
15.8% premium. Fast forward to 2011-2012 and all four of these variables are insignificant.
Using a Wald-Test to check for joint significance, these variables were not even significant at the
45% level, with a probability of 45.18. Using the same test for these variables from the 1993-
1994 regression, these variables are significant with 100% confidence, with a probability of 0.00.
The vast changes in the significance of these variables over time is no coincidence. The nearly
20 years that separates these measurements were the years that the CBA experienced the most
drastic changes towards a tight and strict salary system. Decades ago, international players were
a hot commodity and teams had the ability to pay these players a premium. As the CBA has
changed and market share has become more evenly distributed across various teams, the NBA
has adopted a much more competitive market; thus the price for acquiring foreign players no
longer comes with a foreign-market size premium
V. Conclusion
The overlying message is that teams are becoming more and more successful on a
financial basis regardless of their market’s location. All-star players seem to be increasingly
signing long-term deals with franchises in smaller markets, whereas before this was much more
unheard of. The rules governing the business of today's NBA have done well to mitigate the
importance of factors far beyond the control of any given organization—namely, the size and
appeal of the city in which it's based.
Fans who have been tortured their entire lives by not having a winning basketball team
to root for may soon be pleasantly surprised as more and more small market teams are reaping
the benefits of the new regulations and successful generation of the NBA. Small-market teams
have historically been at risk of seeing their resident stars force their way out of town as free-
agency and big offers from big markets loomed. Rather than just a few successful teams enjoying
a majority of the success every year, such as the Lakers Celtics have for decades, there are many
up and coming teams in the current competitive NBA market. This day and age is an exciting
time for basketball fans everywhere as market size is losing its significance in determining
basketball player salary and competitive market forces are creating a much more balanced
economic structure in the league.
Table 1: List and description of all independent variables included in both regressions (1993-
1994 season and 2011-2012 season)
Variable Name Variable Description
PPG Player’s average points per game for respective
year
APG Player’s average assists per game for respective
year
RPG Player’s average rebounds per game for
respective year
APG Player’s average assists per game for respective
year
BPG Player’s average blocks per game for respective
year
Exp Years a player has been active on a roster in the
NBA prior to year of measurement
ExpSq Years a player has been active on an NBA roster,
squared.
Draft The number that a player was selected in their
respective draft class, 1-60.
LnCapita The natural logarithm of the average per capita
income of the city of a player’s team during the
respective year
LnSalary The natural logarithm of a player’s salary during
the respective year
LnMarket The natural logarithm of the population of the
city of player’s respective NBA team
Caribbean Player receives a “1” if born in the
Caribbean/South America region “0” otherwise
Africa Player receives a “1” if born in Africa, “0”
otherwise
Asia-Pacific Player receives a “1” if born in the Asia-Pacific
region, “0” otherwise
Europe Player receives a “1” if born in Europe, “0”
otherwise
SG Player receives a “1” if he is a shooting guard,
“0” otherwise
PF Player receives a “1” if he is a power forward,
“0” otherwise
PG Player receives a “1” he is a point guard, “0”
otherwise
Center Player receives a “1” if he is a center, “0”
otherwise
Table 2: Below are two bivariate correlation tables that show the strength of the relationship
between the variables in each regression. Table a) presents results from the 1993-1994 season
while Table b) presents results from the 2011-2012 season
a)
APG BPG PPG RPG SPG LNMARKET LNSALARY DRAFT
APG 1.000000 -0.100350 0.593212 0.117473 0.502999 0.024183 0.391786 -0.286289
BPG -0.100350 1.000000 0.252010 0.697263 0.134608 -0.027107 0.329521 -0.263377
PPG 0.603212 0.252010 1.000000 0.581109 0.657357 0.045056 0.606664 -0.436558
RPG 0.117473 0.697263 0.581109 1.000000 0.386422 0.011425 0.540608 -0.342940
SPG 0.702999 0.134608 0.657357 0.386422 1.000000 0.021142 0.456434 -0.301953
LNMARKET 0.024183 -0.027107 0.045056 0.011425 0.021142 1.000000 -0.041599 0.020629
LNSALARY 0.391786 0.329521 0.606664 0.540608 0.456434 -0.041599 1.000000 -0.532902
DRAFT -0.286289 -0.263377 -0.436558 -0.342940 -0.301953 0.020629 -0.532902 1.000000
b)
APG BPG PPG RPG SPG LNMARKET LNSALARY DRAFT
APG 1.000000 -0.122273 0.584860 0.099265 0.658042 0.039345 0.402272 -0.238773
BPG -0.122273 1.000000 0.233522 0.687165 0.110272 -0.020780 0.311810 -0.233152
PPG 0.584860 0.233522 1.000000 0.583206 0.647472 0.049528 0.603708 -0.407231
RPG 0.099265 0.687165 0.583206 1.000000 0.369624 0.026788 0.546974 -0.314622
SPG 0.658042 0.110272 0.647472 0.369624 1.000000 0.013360 0.441344 -0.283974
LNMARKET 0.039345 -0.020780 0.049528 0.026788 0.013360 1.000000 -0.020679 0.001705
LNSALARY 0.402272 0.311810 0.603708 0.546974 0.441344 -0.020679 1.000000 -0.501261
DRAFT -0.238773 -0.233152 -0.407231 -0.314622 -0.283974 0.001705 -0.501261 1.000000
Table 3: Below are two descriptive statistic tables that portray features of variables within each
regression. The first table presents results from the 1993-1994 season while the ladder presents
results from the 2011-2012 season
a)
APG BPG PPG RPG SPG LNMARKET LNSALARY
Mean 1.873875 0.592822 8.322191 4.284051 0.622062 6.602005 15.10194
Median 1.095238 0.438596 7.844828 3.507692 0.596491 5.555840 15.27413
Maximum 10.70968 3.651515 27.64516 11.48000 1.462963 7.313260 16.86784
Minimum 0.000000 0.000000 0.000000 0.000000 0.000000 4.607190 12.50776
Std. Dev. 2.114542 0.607768 5.133711 2.522272 0.319441 0.756645 1.016556
Observations 402 402 402 402 402 402 402
b)
APG BPG PPG RPG SPG LNMARKET LNSALARY
Mean 1.832617 0.464189 8.335048 3.724470 0.672575 6.017598 14.75342
Median 1.182576 0.310345 7.062019 3.258974 0.595121 5.846012 14.76172
Maximum 10.69811 3.651515 28.03030 14.53704 2.516667 6.997909 17.04412
Minimum 0.000000 0.000000 0.000000 0.000000 0.000000 5.277183 10.64564
Std. Dev. 1.851154 0.474636 5.575671 2.395657 0.413896 0.473107 1.118111
Observations 478 478 478 478 478 478 478
Table 4:
Regression estimates of individual player characteristics as the independent variables and the
logarithm of player salary as the dependent variable. The first column represents 2011-2012
season results and the second column represents 1993-1994 season results
Variables Coefficients for 2011-2012 Coefficients for 1993-1994
Bibliography
Agessa, Jacqueline, and Maria Toshkova. "NBA Salaries: Role Players and Superstars." The
Sport Journal. March. United States sports Academy (2008): 1-5.
All-Star 0.624*** 0.754***
Exp 0.212*** 0.122**
ExpSq -0.010*** -0.014**
Draft -0.014*** -0.109***
LnMarket -0.117 0.137***
LnCapita -0.615 0.223***
APG 0.048*** 0.068
RPG 0.074*** 0.094***
PPG 0.021** 0.025***
BPG 0.060 0.060**
SPG 0.088 0.047*
Center -0.0077 0.139***
PG -0.130 0.079
SG 0.0065 0.057
Africa 0.174 0.106***
Asia-Pacific -0.287 0.056*
Caribbean 0.261 0.073*
Europe 0.126 0.158***
R-Squared 0.682 0.722
Adjusted R-Squared 0.668 0.698
F-Statistic 46.654 48.845
P-Value for F-Statistic 0.000 0.000
Arcidiacono, Peter. "Performance Variation in the NBA: Guaranteed Contracts and the contract
Year Phenomenon." Department of Economics Faculty Advisor: Duke University 1
(2010): 1-41.
Hill, James, and Nicholas Jolly. "Salary Distribution and Collective Bargaining
Agreements: A Case Study of the NBA." Industrial Relations (EBSCO Host) 51.2
(2012): 342-63.
Hayles, James. "Does An All-Star Premium Exist in the NBA? An Econometric Analysis of
NBA Player salaries from 1999-2006. "Thesis: Graduate School of Auburn University.
James Edgar Long, 15 Dec. 2006. Web. 6 Feb. 20
Langelett, George, and Michael Haupert. "The Effects of College Education on Career Earnings
in the NBA." Journal of Economics (MVEA), EBSCO Host 39.1 (2012): 25-44.
Martin, Josh. "Does Market Size Even Matter Anymore in the NBA?." Bleacher Report 3
(2014): 1-5.
McCormick, Robert, and Robert Tollison. "Why Do Black Basketball Players Work More for
Less Money?" Journal of Economic Behavior & Organization 44 (2001): 201-219.
Mehta, Suketu. "NBA Player Salaries." Buzzle.com. Buzzle.com, 29 Sept. 2011. Web. 6
Feb. 2014
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Prinz, Joachim, and Daniel Weimar. "Zeitschrift fur Betriebswirtschaft (EBSCO
Host)." Popularity Kills the Talentstar? 82.7-8 (2012): 789-806.
Robst, John, and Corinne Coates. "Skin Tone and Wages: Evidence from NBA Free
Agents." Journal of sports Economics (EBSCO Host) 12.2 (2011): 143-56.
Rehnstrom, K. “Racial discrimination in the NBA: 2008-2009. Business.uni.edu. 5 June
2010. Web. 11 Feb. 2014.
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Paper Series. Version Working Paper 7573, 1 Feb. 2000. Web. 5 Feb. 2014.
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Park Place Economist, 16(1) 1-13.
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Talent or Foreign Market. Journal of sports Economics, 13(1) 53-75.
Zimbalist, Andrew. "Reflections on Salary Shares and Salary Caps." Journal of Sports
Economics 11.1 (2010): 17-28.
Econometrics Research & Analysis Paper

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Econometrics Research & Analysis Paper

  • 1. Has the Road Towards Strict CBA Regulations in the NBA Caused Market Size Wage Premium to Diminish? By: Chris Precourt
  • 2. Abstract: The National Basketball Association has a much different economic landscape today than it did 30 years ago when David Stern’s tenure as NBA commissioner began. The league of the past years had a Collective Bargaining Agreement signed by team owners and players that posed minimal structure or regulations to avoid monopolistic market power. The league also lacked a globalized atmosphere, and saw only a handful of teams thriving on the court and financially. He has since created a global atmosphere in the league, recruiting an array of talented players from countries globally and the worldwide fan base has increased exponentially. These factors have proven to be a crucial in achieving the profitability and impressive net worth the association now enjoys. More importantly, the regulation and enforcement of stricter CBA rules has created a much more competitive marketplace within the NBA and small market teams have been able to build successful teams around a talented core of players. Using player data from the 1993-1994 season, before strict CBA regulations were implemented, and the 2011-2012 season, after the 2010 lockout, two OLS estimated models comprised of the same independent variables are compared to one another. The estimates suggest that market size and other economics factors of a country no longer cause a salary premium for players among different NBA teams or foreign players from different regions of the world, which has been a historical trend in the NBA. Various other individual specific characteristics are regressed on a player’s salary, in addition to market size, to analyze how the age of stricter CBA agreements has changed the structure of salary disbursement in the NBA.
  • 3. A. Introduction The National Basketball Association has not always been the thriving powerhouse that now dominates the attention of millions of intensely adoring fans all over the world. In today’s society, professional basketball players are highly admired and it is no secret that they earn a bigger salary than most people are able to dream of. When David Stern became the NBA commissioner in 1984, the league had a much less promising financial outlook and global presence. With a net worth of 15 million dollars and a handful of teams on the brink of bankruptcy, Stern proved to be a visionary businessman, realizing the NBA had fundamental flaws in various aspects of its structural and financial foundation. He acknowledged that basketball was loved and appreciated in countries all over the world, bringing to light the potential profit that the league could generate if the proper initiatives to globalize the league were taken. He also noted that a small handful of large markets in the NBA, including New York, Los Angeles, and Chicago were sharing the majority of market share and financial success at the time. He knew what he had to do to turn the NBA into a dominant business. Stern utilized resources such as internet social media to attract international fans, strong recruitment to find the top foreign talent, and the signing of various contracts with international television networks to expand its boundaries across the world. Between the years of 1999 and 2008, the league increased its number of internationally born players from 35 to over 80 and the league has reaped huge financial benefits. International fans have contributed to the modern-day success of the NBA through a heavy increase in merchandise sales, global media attention and broadcasts, and an overall larger fan base.
  • 4. Turning the league into a global wonder was only the beginning stage of a long journey to success for Stern. He and his committee of team owners have instituted various financial regulations through the Collective Bargaining Agreement, which must be agreed upon and signed by a chosen committee of NBA players. Such negotiations have benefitted teams of all market sizes and the overall profitability in the league. Before Stern’s reign, teams in largely populated cities with rich owners dominated league market share by employing all the top tier players. When the league existed in an economic environment that implemented no salary cap, the teams in small markets were simply outbidded on any player with premier talent. The first significant CBA agreement was signed after the 1995 season, which regimented a salary structure highly resembling that of non-sports unions. Such unions are generally adopted to institutionalize a wage structure and reduce productivity-based wages. Stern’s rule over the last 3 decades has transformed the league into a multi-billion dollar association. Nearly all 30 teams are making a yearly profit from basketball related revenues and NBA stars are much more evenly dispersed throughout teams of varying market sizes. A team existing in a market outside of the largest and most attractive cities no longer seems to be the impediment to profitability that it once was. The presence of international players in the NBA has greatly increased team revenues, and indicates why internationally born players have portrayed a tendency to earn a wage premium over American-born players throughout the years since Stern’s arrival. However, the newly globalized NBA market is seen now as a “Basketball Sanctuary”, with players from all over the globe eager for the chance to play in the NBA, creating a high level of potential supply. With only 60 new players granted to play in the NBA through the yearly draft and the leagues economic structure having already gone through its peak of globalization, demand for foreign
  • 5. players has balanced off to equilibrium. As a result, team managers have a lot more bargaining power to negotiate lower wages with international players, which might result in a diminished salary premium for those born in and coming to the NBA from a large market. Is market size even a significant variable in the current economic structure of salary disbursement in the NBA? In the past, large market teams have enjoyed the most success and their fans have always been spoiled with the best talent. If stricter CBA agreement enforcements have taken the ability of large market teams to pay a premium for NBA stars and top prospected foreign players, this could have major beneficial implications for the fans of teams that have suffered through years of losing and missing the playoffs. Teams of all market sizes may potentially have equal opportunity to lock in top talent in the NBA and build winning teams, which has been an up and coming trend in the NBA. More and more teams that have missed the playoffs for years are now building a strong core around All-Star players, which portrays a development that could be seen more and more as time passes if market size no longer pays a premium of the economics of NBA salary disbursement. B. Literature Different trends and regulations surrounding salary disbursement have occurred over the decades in the NBA. There are numerous complicated factors in the economy that have led to the changing structure of the Collective Bargaining Agreement, but what has ultimately resulted is a thriving NBA marketplace that is seemingly set to flourish in the future. Much of the literature reviewed surrounding the topic of NBA disbursement was conducted during the 1990’s and early 2000’s, portraying insight on the ever-changing foundation of a players earnings:
  • 6. a) Market Size Salary Discrimination The internationalization and globalization the NBA incorporated into its culture gave rise to a heavy influx of foreign players in the league and increase in profits from international revenues. Escker (2004) provided an analysis with the goal of determining how foreign-born players fared in salary compared to American-born players. This idea posed an interesting debate because these international players would theoretically be generating millions of dollars for the NBA by attracting a larger fan base, more international telecasting of games, and increased merchandise sales. The author concluded that during the 1996-1997 season foreign players earned a wage premium of nearly 20%. Using panel data of 618 NBA players between the 1999-2000 and 2007-2008 seasons, yielding an unbalanced panel of 3,051 observations, and employing the technique of two-stage double fixed-effect model, Yang (2012), gave empirical results which portrayed a premium for market-size from two different vanity points. Foreign-market size was a significant variable in a regression composed of foreign-born players only and domestic market size was significant in a regression composed off American-born players. The article also indicated foreign-born players earns 17.4% less than an American- born players, ceteris paribus. Although international players were earning a wage premium due to their home-country size (per capita GDP, population), they still earned less overall in relation to American-born players. The unique approach to this article presented seemed effective and valid. For the first stage of the model, the research adopted the standard earning equation, a linear OLS model with player individual-specific characteristics as independent variables and the logarithm of salary as the
  • 7. dependent variable. The individual wage premium (ui) attributed to unobserved heterogeneity among players represented the error term. This error term was regressed on a set of new variables, which comprises of the second stage analysis. Results from this stage portrayed that market size was a significant factor for American-born players and foreign- market size was significant in regards to a foreign-born player’s salary. These results were parallel with the economics of the NBA during the 1990’s. Large market teams were still paying star-players a huge premium allowing smaller markets from thriving due to a lack of regulations and teams were also able to spend top dollar to secure highly prospected foreign players. b) CBA Agreements There is much evidence that this premium for market size could be due to a lack of proper regulation within the NBA’s financial structure prior to 1995. Salary structure was very loosely constrained compared to the current NBA, which proved to be a financial benefit to the players. Hill and Jolly (2012) review how some of the past revisions to the CBA have changed the outlook for salary disbursement over the years. First, in 1995, the union and league negotiated a rookie scale agreement into the 1995 CBA, in which each first-round draft pick had a designated salary that decreased in scale from the first to the last pick and covered the players’ first 3 years in the NBA. Afterward, the players became free agents and their salaries were determined by competitive market forces, loosely constrained by a salary cap. Regression results indicate that pay for experience and efficiency level is higher under a rookie scale CBA. Second round picks and undrafted players were simply paid a league minimum wage. Using quintile regression results, the conclusion is drawn that the
  • 8. most productive players suffered the greatest rent transfer. The elite players were suddenly incapable of earning a sky-high salary premium over other players due to the salary cap and the rookie salary scale meant the most talented rookies were earning much less than their potential. In the 1999 NBA CBA agreement, the players agreed to a salary cap on individual players’ salaries, set as a percentage of the team salary cap and escalated by years of experience and the rookie scale was changed to 4 years instead of 3. A player’s team can retain their first- round pick for a fourth season at a percentage salary increase set by the CBA. The salary percentages start at 26.1 percent for the first pick in the draft and increase to 80.5 percent for the twenty-ninth pick in the first round. These changes are meant to decrease the gap in the salary distribution of first round picks for the teams that want to retain these players for a fourth season. In 2005 the CBA implemented a rule forcing any team that has a payroll over a certain threshold limit to pay a 100 percent tax to the league for the overage. Basketball related income (BRI) salary dispersion is a common topic of discussion at CBA meetings and presented a point of disagreement between the negotiating sides in 2010 that nearly costed the NBA the entire season. The season was reduced to 66 games because it took months for players to accept the owners request to lower BRI paid out as salary from 57% to 49%. The United States recession that started in 2008 caused many teams to lose money, thus owners demanded this be accounted for in the form of paying players a smaller salary. The resulting agreement that revived the 2011-2012 season calls for a revenue split of 49-to-51.2% and a flexible salary cap structure with harsher luxury tax. A harsher luxury tax was implemented to prevent teams from exceeding their cap space and thus squandering the monopolistic type power they had enjoyed more freely just years earlier.
  • 9. c) Racial Salary Premium Even with CBA agreements that have applied such restriction on pay in recent years, questions still remain as to whether racial discrimination still exists among salary disbursement in the NBA. Back in the early 1970’s, blacks comprised of about 50% of the players in the NBA, which is a much lower percentage than is seen in the league today. Black players, however, have not always been fairly compensated. This was portrayed not only in the 1970’s (Mogull, 1981), but also persisted into the 1980’s. Koch and Vander Hill (1988) employed a classic wage model using several player characteristics and also controlled for race, in which they concluded a wage premium for white players of 13%. The most common explanation for this phenomena was racial customer discrimination in which owners or fans preferred having white players on their team and thus paid them a premium. Rehnstrom (2010), concluded that there is a significant white premium of 24.5%, but the statistics used were overall career statistics rather than just representing a single season. This econometric model detected racial discrimination among salary and was statistically significant at the 1% level of confidence. Kahn and Shah (2005) also investigated racial salary discrimination in the NBA using data from the 2001-2002 NBA season. This article used a different approach, looking for racial salary effects among different groups of players. The first group, consisting of rookies not included in the rookie salary scale and players who were not free agents, showed nonwhite shortfalls in salary. The rookie salary scale defines set salaries for players drafted in the first round of the NBA draft regardless of position played, productivity stats, or race. Players who
  • 10. were not under the rookie salary scale and veteran free agents, however, did not suffer from racial salary differences. The reasoning behind their conclusion was that union pay scales and competition in the free agent market had caused racial pay differences to disappear, which is another key change the strict CBA agreements have caused in salary disbursement. Although the early days of the NBA clearly portrayed racial salary discrimination against black players, the economics of the league has seemingly sorted this issue out and there is increasing evidence that racial discrimination has disappeared in the NBA. d) College as Human Capital A crucial decision that many college basketball players must make regarding their future salary is how long they should play college basketball before advancing into the NBA. Human capital represents the natural ability, skill set, experiences, and know how a worker brings to the job. In the NBA, human capital is developed throughout a player’s high school and college years as well as years spent in the NBA. For the athlete, the college years are a period of time when players develop their athletic talent and the NBA draft is modeled as the League's assessment of the stock of human capital each player has acquired at the start of his career in the NBA. Langelett (2012) analyzed how many years of college lead to players being the best compensated. The phrase “better compensated” was measured by the total salary earned in the first 10 years of a player’s career. The opportunity cost of playing in college is the salary that the player could be earning in the NBA, which is the reason that some of the most talented players skip college to start making a top salary earlier in their career. Hypothetically, the most talented
  • 11. players could be making tens of millions of dollars yearly in the NBA rather than spend their time developing their skills and human capital in college. Using both OLS and a Heckit model, the results show great variation 3 different groups salary earnings in the NBA: Players drafted out of high school earned on average $43.5 million in the first 10 years of their career, while the mean for college seniors is $15.9 million, and for foreign players is $17 .4 million. The main reason that those drafted directly out of high school showed such a drastic difference in compensation over the first ten years of their career is because a majority of the players that have the raw to skip college basketball end up becoming superstars later in their career. This also suggests that whether a player becomes an All-Star caliber player or not is much more indicative of their future salary than the amount of years they spend in college. e) All-Star and Contract Year Premium The NBA has always created a high level of buzz across the media for its annual All-star weekend, as the most talented and popular basketball players from each conference take the big stage to play against each other. Hayles (2006) uses general OLS estimates to regress All-Star, a dummy variable representing whether a player has been an All-Star in the previous 5 NBA seasons on player salary and reports a 36% wage premium in 2006 for such players. This is a variable that has never been proven insignificant throughout any era of NBA history. This makes sense because regardless of the restrictions set in the CBA, All-Star level players are always in high demand and require higher salaries to be obtained, whether they play in large markets or small markets.
  • 12. The effects of a multi-year NBA contract on a player’s performance is a factor that has been analyzed by Arcidiacono (2010). Players have to work hard to earn a multi-year contract, but in theory may stop working as efficiently once they have signed a contract, a phenomena known as ex-post opportunistic behavior, or shirking. The coefficient on the ANTE variable measuring performance in the year prior to a contract signing year, had a positive coefficient and it statistically significant at the 0.1% level, while the coefficient on the ex-post variable measuring performance the year after signing a contract was not statistically significant. f) Player Position Premium All-Stars, along with centers, have classically been portrayed as the divisions of players that have seemed to earn the largest wage premium above other players. There has been an unwritten rule that has resonated through the history of the NBA called “air supremacy” in which taller players have inherently been paid more because there is an advantage to having a player on a team that has reached the 7 foot mark. Another common subject for debate when it comes to player compensation in the NBA is whether or not the returns of salary on attributes may vary by player position for low-salary, low-skill, bench-warmers on a team relative to high-salary, high- skill superstars. Quantile regression procedures are used by Agessa (2008) to measure the return to player attributes for the two groups at different salary levels along the distribution of NBA salaries. Agessa reported that the coefficient on big men was significant and portrays that big men earn 18% more than guards, with all other attributes held constant during the 2001-2002 season. Another interesting finding was that the coefficient on experience was significant for guards of every skill level, but the coefficients were much larger for players at intermediate levels relative
  • 13. to low-skill players and superstars. This represents greater returns to human capital accumulation for the intermediate level guards in the league. Very similar findings were shown for big men as well, with the addition that intermediate level and high-skill big men were compensated much better for blocks per game relative to low skill big men. With respect to the restrictive CBA agreements it makes sense that the intermediate skill level players would see the highest fluctuations in salary, as rookies are placed on a rookie scale and top tier players are limited by the salary cap. II. Theory In sports, there are many economic factors at work behind the decisions that are made by team managers and there is much money at stake. This can make it difficult to theorize exactly how we expect certain variables to behave among salary dispersion in a sports environment. Based on the new economic structure of the NBA, and a little common sense, most of these ideas and variables can be predicted in a way that makes theoretical sense. The history of the league would indicate that variables such as player position, draft pick, and on court performance statistics would all be significant in relation to salary. We might expect to see that a center would earn more than any other position because a quality center in the NBA is a rare treasure to come across, so a team that has the opportunity to pay a premium to obtain a quality center may have feel they have enough incentive to do so. Another hypothetical reason that centers might earn a salary premium is because their bodies are bigger and taller and are considered more prone to injury. This would indicate that they should be compensated more
  • 14. to account for their higher likelihood of having their career prematurely ending, so such a premium might be included as an insurance policy for such unforeseen factors. Alternatively, the CBA agreements may very well have created a competitive enough market among all players in the NBA that this premium for centers may have diminished. There is also the factor that teams are always chasing after players of different positions based upon their needs, and thus may have the same incentive to pay premiums for quality guards or forwards. Given the complexity of the matter we don’t know for sure what to expect with regards to a salary premium for player positions, but given that centers are fairly difficult to come across and are taller than players at every other position, it seems fair that centers might still be paid a premium over other positions. Being selected lower in the draft, such as the first or second pick, is another factor that would seemingly lead to a salary premium in a player’s career because draft selections are essentially an evaluation of talent by teams hoping to select the most talented player before another team can. However, back in the 1990’s and earlier, the Collective Bargaining Agreement in the NBA had many fewer restrictions and the most productive and valuable players were likely to earn a huge salary premium over all other players. Each new CBA Agreement that has been passed has seen the reigns of control tighten within the NBA so draft pick may have a much less significant effect on future salary than before. With the newly implemented rookie scale causing wages to remain relatively close for players in their first four years in the league, we know that draft pick will be insignificant until at least a player’s fifth year. It could be fairly assumed that experience in the league would have a positive correlation with salary. It is logical to assume that as a player gains more experience in the NBA they increase their value to the team and improve their overall skill level. As a player gains more
  • 15. experience beyond their fourth year in the league they also break free of the rookie scale and earn a salary based on competitive market forces. However, experience might not lead to a premium in every scenario, such as a player that carries a bad attitude or reputation. Adding an experience-squared variable is necessary when we are analyzing an experience variable because we would expect that after a given amount of years, this player will begin to age and might see his productivity and youthful talent diminish, and thus this variable should have a negative relationship with salary in theory. As far as productivity statistics are concerned, we would expect an increase in almost any category (points, rebounds, assists, steals, and blocks) to translate into a wage premium because the most productive athletes should theoretically be paid the most. Every stat in this case is a vital component to the NBA because players at different positions excel in different categories. Centers are more likely to block more shots and pull down rebounds off of missed shots, while guards are more likely to dish out assists and score points. Forwards are a versatile bunch and can perform well in multiple categories. The players with the greatest productivity statistics are typically the most desired by prospective teams who are willing to pay them a premium for the added value they will contribute to the team. Overall, we would theoretically expect such variables to have some degree of a positive relationship with salary, however it isn’t obvious how these variables will rank in order from most to least significant. It could be predicted that points, assists, and rebounds would be the most significantly related since they are the three stats that come up most prominently throughout a basketball game. Alternatively, players may not earn a premium based on any productivity statistics in the current NBA economy with strict CBA ruling, so these variables are difficult to predict with certainty.
  • 16. The variable All-Star, which designates a player has been selected to play in the All-Star within the past 5 seasons, should have a very significantly positive relationship with salary regardless of whether we are looking at a time period before or after the CBA implemented its strict ruling fist. The variable portrays an array of attributes about a player ranging from a player’s popularity, value, and reputation of supremacy. Players that are going to start in the All- Star Game rather than come off the bench are voted in by the fans and the rest of the All-Star team is voted in by the head coaches of the league, portraying popularity among the general population and with personnel with close ties to the league. When All-Stars are on the market as free agents, they should in theory be the most sought after players because they have the aura of being elite and of a caliber that could take a team to the next level. All of these factors provide significant enough evidence that a player who has been an All-Star will earn a wage premium. The most difficult variable to predict in regards to its relationship with salary is market size. In my analysis, a market size premium will be measured two different ways: whether it exists among domestic markets of NBA teams and whether there is a premium for foreign-born players that are generating a high level of international buzz around the NBA. Historically, the larger the market size that an NBA player is associated with, the larger the wage premium he earns, which has also been the case for international players born in a larger market generating more revenue for the NBA. Prior to certain structural changes of the NBA, it could have been said with a fair amount of certainty that market size directly affects the salary that athletes are paid. There are reasons to believe that the impact of market size on salary could greatly be reduced in today’s economy. The current Collective Bargaining Agreement has changed the structural backbone of salary dispersion and thus market size might have lost is strong relationship with salary. The newly institutionalized salary cap and various other restrictions
  • 17. within the current CBA cause it to be unclear whether we can expect market size to shape the salary of an NBA player. III. Data For my analysis, I plan to compare salary disbursement determinants between the 1993- 1994 season and the 2011-2012 season. The mid 1990’s was the last year in the NBA before the Collective Bargaining Agreement began to impose restrictions that broke up the monopolistic power of rich teams, while 2012 is the season directly after the most constraining CBA agreement was signed. Many of the variables selected to be tested as potential determinants of salary disparity for NBA players during the 2011-2012 NBA season were retrieved from Dougstats.com, a website that contains yearly statistics for both the MLB and NBA for each of the previous 25 seasons, dating back to the 1988-1989 season. The statistics include team statistics, such as overall record and a plethora of individual player statistics. The individual statistics that were relevant for my research were recorded as yearly totals on Dougstats.com and included: games played, minutes played, points, rebounds, assists, steals, and blocks. Other, non- varying statistics included the position of the player and the player’s respective team. Nearly every other individual player statistic was collected from the official website of the NBA. This site is loaded with advanced statistics about every team and player, and includes a biography for every player with qualitative information about every year of that player’s career. My salary dispersion research required me to find the country of birth of all NBA players, in which NBA.com conveniently presented a list of foreign born players that were active on an
  • 18. NBA roster during every NBA season, the home country of each player, their current contract length, whether or not they played for a playoff caliber team that year, their overall tenure in the league, their draft positioning, and the salary they earned during 2011-2012 season. Lastly I used Google.com to find the per capita income of the population and overall population in each NBA city to determine if a strong economy and large fan base was a variable causing a salary premium. My analysis utilizes a general OLS estimated regression model. The natural logarithm of a player’s salary will be used as the dependent variable regressed on various individual characteristics that are representative of potential factors of salary premium among NBA players. The two regressions will include all of the same variables so results can be compared between the 1993-1994 and 2011-2012 seasons: (1) LnSalary = C0 + C1(Center)i + C2(PG)i + C3(SG)i + C4(All-Star)i + C5(Draft)i + C6(Exp)i + C7(ExpSq)i + C8(LnMarket) + C9(BPG)i + C10(SPG)i + C11(APG)i + C12(RPG)i + C13(PPG)i + C14(PPG)i + C15(Africa)i +C16(Asia-Pacific)i + C17(Caribbean)i + C18(Europe)i + Ui Many of these variables were created as dummy variables for which a player would receive a “1” if they possessed the trait described by such variable, or a “0” otherwise. The dummy variables included in this regression include: “Center”, “PG”, “SG”, “All-star”, “Africa”, “Asia-Pacific”, “Caribbean”, and “Europe”. Each player was designated a “1” for the variable “All-Star” if they had been an All-Star at some point in their career. I designated the variable to
  • 19. players who had been an All-Star at some point in their career rather than only the players that were All-Stars the year prior for specific purposes. Measuring this variable using players who have been in the All-Star game within the last five years of his career portrays a more accurate evaluation of All-Star value rather than just selecting players that were players in the previous year, as this method could potentially leave out many players that have All-Star value. The variables “Center”, “PG”, and “SG” portray player positions, including center, point guard, and shooting guard. I excluded small forwards and power forwards from the regression so that the parameter estimates on guards and centers could be compared to those of forwards. The final four dummy variables designate different regions of the world that players were potentially born in. These regions are self-explanatory based on the variable names but nonetheless include: Africa, the Asia-Pacific region, the Caribbean (including South America), and Europe. American born players received a “1” for the variable “America”, designating that a player was born in America, but this variable was excluded from the regressions Variables of different regions of the world will be used to measure the significance in foreign-market size on a foreign-born player’s salary. All of the data I collected from dougstats.com for each player was in terms of yearly totals. I took stats such as total points, assists, rebounds, steals, and blocks and divided each by a players total games played. This created the variables of points per game; “PPG”, assists per game; “APG”, “rebounds per game; “RPG”, blocks per game; “BPG”, and steals per game; “SPG”. The dependent variable “LnSalary” is the natural logarithm of a player’s salary during the 2011-2012 season, which is the first year after the 2010 NBA lockout. This is a point of interest because the aftermath of the lockout could potentially have a major impact on salary dispersion in the NBA compared to years past. I used the natural logarithm to make the salary variable more normally
  • 20. distributed, which helps to account for any outliers that would skew the parameter estimates. There is potential for outliers because the top paid players in the league earn more than 20 million while the player’s with the smallest salaries earn less than 300,000. Also, with the logarithmic function, regression coefficients are semi-elasticities, showing the approximate percentage change in income for a one-unit increase in an explanatory variable, which makes more sense when conducting a salary analysis such as this. The variable “Exp” represents experience in the league, in other words, number of years that a player has been in the league prior to the season of interest. “ExpSq” is the square of the experience variable and is used as a means of capturing the diminishing marginal returns from experience, due to aging and declining from their “peak” period. The variable “Draft” represents the number pick each player was in their respective drafts, 1-60. If a player graduated college and made it into the NBA undrafted, they received a 61 for this variable. More perceived potential talent is represented by a lower number draft pick, such as first or second. The last independent variables are “LnMarket” and “LnCapita”. These represent the natural logarithm of the population of the city of each player’s team and the natural logarithm of the per capita income from each respective city. The natural logarithm aids in tightening the range of population measurement between relatively small markets and cities with considerably larger markets, such as Los Angeles and New York City. I determined that all of these independent variables were acceptable to put in the same regression because none of them were correlated strongly enough to skew the parameter estimates. The variables that were the closest to portraying multicollinearity were on-court statistics. Points per game has a correlation coefficient of 0.59 in 1993-1994 and a coefficient of 0.58 in 2011-2012 with assists per game, 0.58 in 93-94’ and 0.58 in 11-12’ with rebounds per
  • 21. game, 0.64 in 93-94’ and 0.65 in 11-12’ with steals per game which were all moderately high, but not significant enough to determine that these variables would skew the estimates. The variables “LnMarket”, “LnSalary”, and “Draft” also had no correlation with any other variables that exceeded 0.60 and thus these were acceptable to include with all other variables. The number I used as a benchmark to dismiss a variable from the regression was a correlation coefficient of 0.70 which never proved to be an issue. The fact that the natural logarithm was used on market size and player salary created a very small range in the maximum and minimum values of these two variables. The logarithm function decreased the range in the salary variable “LnSalary” to a minimum value of 10.65 and a maximum value of 17.04 in 2011-2012 and a minimum of 12.51 and a maximum value of 16.87 in 1993-1994, which is a much smaller range when considering that salary for some players is higher than 20 million and less than 1 million for some. The range in the market variable, “LnMarket” was also very small with a minimum value of 5.27 and a maximum value of 6.99 in 2011-2012 and a minimum value of 4.60 and a maximum value of 7.31 in 1993-1994. Cities such as Los Angeles have a population over 9 million and a smaller market such as Portland, Oregon has a population of less than a million, so the logarithm served as a vital tool in decreasing such a wide range and bringing values within a range that excludes the potential for heteroskedasticity in the results. The on-court statistics were not tampered with because they didn’t portray any potential outliers. These statistics interestingly showed very similar trends in both time periods with the mean, maximum, and minimum values in all categories within a small range of each other. The descriptive statistics and correlation coefficients are all accurate measures because my variables didn’t include any missing data.
  • 22. IV. Results The financial and economic landscape in the NBA was structured much differently during the 1993-1994 season than it is today. During this time span, the NBA and its owners passed various restrictive regulations through several CBA agreements that have become crucial to the league’s success and competitive environment. The most surprising aspect was that a majority of the variables had parameter estimates that came close to what should have been expected in economic theory. The significance and magnitude of the estimates on the productivity statistics were difficult to predict, but can all be logically explained by the economic outlook during each time period. The 1993-1994 season showed a wage premium for increasing statistics in nearly every productivity category, except assists per game. Meanwhile the 2011-2012 season portrayed a wage premium for just points, assists, and rebounds, excluding blocks and steals. Every point per game that a player averages in 2011-2012 increases his salary by 2.1%, while each assist per game increases salary by 4.8% and each rebound increases salary by 7.4%. In 1993-1994, each point per game increased salary by 2.5%, each rebound by 9.4%, each block by 6.0%, and each steal by 4.7%. Blocks are significant in the 1990’s and are no longer appear to be so today as centers alike showed not to earn a wage premium in 2011-2012. If centers are no longer being paid extra for their height and unique talents, it logically follows that players will see the premium diminish for blocks per game, as centers block more shots on average than any other position. It also
  • 23. makes sense that players only see a small increase in their salary for every extra point and a premium higher than 9% or every rebound because players are more likely to average more points than rebounds. A solid scorer in the league can average anywhere from 15 to 30 points whereas a dominant rebounder generally won’t average more than 15 rebounds. The variables “All-Star” and “Exp” were both expected to be positive and highly significant and both variables were at the 1% significance level. During the 1993-1994 season there was a 75.4% wage premium on the “All-Star” variable and a 12.2% wage premium for each year of experience. During the 2011-2012 season, these variables caused premiums of 62.4% and 21.2% respectively. The premium is likely higher for All-Star level players in the 1990’s because there was lack of a strict salary cap, meaning teams in rich markets were able to pay All-Star players such a premium, whereas the salary cap is strictly enforced nowadays. The reason experienced players are paid a larger premium today than in the 90’s could be a result of disbursed wages as a result of economic rent accumulated from paying rookies and young players under a “rookie scale” system. There could be various other reasons why these variables have shifted slightly over time, but it is no surprise that these variables have remained statistically significant when regressed on salary. The variable “ExpSq” was also statistically significant at the 1% level and had a negative parameter estimate for both time periods. Players do not keep their young, agile, lightning-quick abilities forever, so this simply portrays the diminishing effect that experience will have on salary over time as a player will eventually age after their peak years. The variable “draft” turned out to be significant at the 1% significance level for both time periods, however the magnitude of wage premium for being picked earlier in the draft was much larger during the 1993-1994 season at 10.1% than in 2011-2012 at 1.4%. This may be directly
  • 24. due to the rookie salary scale that has been implemented since 1995. This premium is likely diminished because players earn similar salaries for the first 4 years of their career under the recent CBA agreement. The negative parameter estimates on the draft variables actually model a positive relationship because a low draft number portrays more talent potential, hence why it is measured backwards. The previously analyzed variables share a portion of the story, but market size variables are the missing pieces to the puzzle. Without taking “LnMarket”, “LnCapita”, and the four foreign region variables into consideration, we don’t see the true effect that the CBA has had on the NBA’s success and financial capabilities of teams in smaller markets. All of these variables were significant in 1993-1994 to at least the 5% significance level, whereas during the 2011- 2012 season, each and every one of these variables was statistically insignificant. In 1993-1994, players in densely populated markets, designated by “LnMarket”, earned a 13.7% wage premium and a 22.3% premium was earned in markets with higher per capita incomes, represented by “LnCapita”. The 2011-2012 season data results portray that market forces are no longer playing a prominent role in player’s salary. Significant factors pertaining to market size during the 93-94’ showed that before regulations were set, markets had freer reign to pay top talent whatever they required to lock them into a contract. However, now that the CBA has gone through various structural changes, more talent is falling into the hands of smaller market teams and market related variables are no longer significant in the wage equation. The variables that represented foreign player country of birth: “Africa”, “Asia-Pacific”, “Caribbean”, and “Europe”, proved to provide another point of interest in showing how CBA agreements over the years have ultimately changed the structure of salary disbursement. The league was experiencing huge revenue gains from the introduction of more international players
  • 25. over the last few decades and foreign players have been paid a premium based upon the country they originate from. Yang (2012), attributed this premium to a foreign markets population, GDP, and presence of a basketball league, which can all theoretically lead to a wage premium when these players enter the NBA. During the 1993-1994 season, players from Africa earned a 10.6% premium, from Asia earned a 5.6% premium, from the Caribbean earned a 7.3% premium, and from Europe earned a 15.8% premium. Fast forward to 2011-2012 and all four of these variables are insignificant. Using a Wald-Test to check for joint significance, these variables were not even significant at the 45% level, with a probability of 45.18. Using the same test for these variables from the 1993- 1994 regression, these variables are significant with 100% confidence, with a probability of 0.00. The vast changes in the significance of these variables over time is no coincidence. The nearly 20 years that separates these measurements were the years that the CBA experienced the most drastic changes towards a tight and strict salary system. Decades ago, international players were a hot commodity and teams had the ability to pay these players a premium. As the CBA has changed and market share has become more evenly distributed across various teams, the NBA has adopted a much more competitive market; thus the price for acquiring foreign players no longer comes with a foreign-market size premium V. Conclusion The overlying message is that teams are becoming more and more successful on a financial basis regardless of their market’s location. All-star players seem to be increasingly signing long-term deals with franchises in smaller markets, whereas before this was much more
  • 26. unheard of. The rules governing the business of today's NBA have done well to mitigate the importance of factors far beyond the control of any given organization—namely, the size and appeal of the city in which it's based. Fans who have been tortured their entire lives by not having a winning basketball team to root for may soon be pleasantly surprised as more and more small market teams are reaping the benefits of the new regulations and successful generation of the NBA. Small-market teams have historically been at risk of seeing their resident stars force their way out of town as free- agency and big offers from big markets loomed. Rather than just a few successful teams enjoying a majority of the success every year, such as the Lakers Celtics have for decades, there are many up and coming teams in the current competitive NBA market. This day and age is an exciting time for basketball fans everywhere as market size is losing its significance in determining basketball player salary and competitive market forces are creating a much more balanced economic structure in the league.
  • 27. Table 1: List and description of all independent variables included in both regressions (1993- 1994 season and 2011-2012 season) Variable Name Variable Description PPG Player’s average points per game for respective year APG Player’s average assists per game for respective year RPG Player’s average rebounds per game for respective year APG Player’s average assists per game for respective year BPG Player’s average blocks per game for respective year Exp Years a player has been active on a roster in the NBA prior to year of measurement ExpSq Years a player has been active on an NBA roster, squared. Draft The number that a player was selected in their respective draft class, 1-60. LnCapita The natural logarithm of the average per capita income of the city of a player’s team during the respective year LnSalary The natural logarithm of a player’s salary during the respective year LnMarket The natural logarithm of the population of the city of player’s respective NBA team Caribbean Player receives a “1” if born in the Caribbean/South America region “0” otherwise Africa Player receives a “1” if born in Africa, “0” otherwise Asia-Pacific Player receives a “1” if born in the Asia-Pacific region, “0” otherwise Europe Player receives a “1” if born in Europe, “0” otherwise SG Player receives a “1” if he is a shooting guard, “0” otherwise PF Player receives a “1” if he is a power forward, “0” otherwise PG Player receives a “1” he is a point guard, “0” otherwise Center Player receives a “1” if he is a center, “0” otherwise
  • 28. Table 2: Below are two bivariate correlation tables that show the strength of the relationship between the variables in each regression. Table a) presents results from the 1993-1994 season while Table b) presents results from the 2011-2012 season a) APG BPG PPG RPG SPG LNMARKET LNSALARY DRAFT APG 1.000000 -0.100350 0.593212 0.117473 0.502999 0.024183 0.391786 -0.286289 BPG -0.100350 1.000000 0.252010 0.697263 0.134608 -0.027107 0.329521 -0.263377 PPG 0.603212 0.252010 1.000000 0.581109 0.657357 0.045056 0.606664 -0.436558 RPG 0.117473 0.697263 0.581109 1.000000 0.386422 0.011425 0.540608 -0.342940 SPG 0.702999 0.134608 0.657357 0.386422 1.000000 0.021142 0.456434 -0.301953 LNMARKET 0.024183 -0.027107 0.045056 0.011425 0.021142 1.000000 -0.041599 0.020629 LNSALARY 0.391786 0.329521 0.606664 0.540608 0.456434 -0.041599 1.000000 -0.532902 DRAFT -0.286289 -0.263377 -0.436558 -0.342940 -0.301953 0.020629 -0.532902 1.000000 b) APG BPG PPG RPG SPG LNMARKET LNSALARY DRAFT APG 1.000000 -0.122273 0.584860 0.099265 0.658042 0.039345 0.402272 -0.238773 BPG -0.122273 1.000000 0.233522 0.687165 0.110272 -0.020780 0.311810 -0.233152 PPG 0.584860 0.233522 1.000000 0.583206 0.647472 0.049528 0.603708 -0.407231 RPG 0.099265 0.687165 0.583206 1.000000 0.369624 0.026788 0.546974 -0.314622 SPG 0.658042 0.110272 0.647472 0.369624 1.000000 0.013360 0.441344 -0.283974 LNMARKET 0.039345 -0.020780 0.049528 0.026788 0.013360 1.000000 -0.020679 0.001705 LNSALARY 0.402272 0.311810 0.603708 0.546974 0.441344 -0.020679 1.000000 -0.501261 DRAFT -0.238773 -0.233152 -0.407231 -0.314622 -0.283974 0.001705 -0.501261 1.000000
  • 29. Table 3: Below are two descriptive statistic tables that portray features of variables within each regression. The first table presents results from the 1993-1994 season while the ladder presents results from the 2011-2012 season a) APG BPG PPG RPG SPG LNMARKET LNSALARY Mean 1.873875 0.592822 8.322191 4.284051 0.622062 6.602005 15.10194 Median 1.095238 0.438596 7.844828 3.507692 0.596491 5.555840 15.27413 Maximum 10.70968 3.651515 27.64516 11.48000 1.462963 7.313260 16.86784 Minimum 0.000000 0.000000 0.000000 0.000000 0.000000 4.607190 12.50776 Std. Dev. 2.114542 0.607768 5.133711 2.522272 0.319441 0.756645 1.016556 Observations 402 402 402 402 402 402 402 b) APG BPG PPG RPG SPG LNMARKET LNSALARY Mean 1.832617 0.464189 8.335048 3.724470 0.672575 6.017598 14.75342 Median 1.182576 0.310345 7.062019 3.258974 0.595121 5.846012 14.76172 Maximum 10.69811 3.651515 28.03030 14.53704 2.516667 6.997909 17.04412 Minimum 0.000000 0.000000 0.000000 0.000000 0.000000 5.277183 10.64564 Std. Dev. 1.851154 0.474636 5.575671 2.395657 0.413896 0.473107 1.118111 Observations 478 478 478 478 478 478 478
  • 30. Table 4: Regression estimates of individual player characteristics as the independent variables and the logarithm of player salary as the dependent variable. The first column represents 2011-2012 season results and the second column represents 1993-1994 season results Variables Coefficients for 2011-2012 Coefficients for 1993-1994
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