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Empirical Economics

Erschienen in:

18.01.2021

On the evolution of athlete anthropometric measurements: racial integration, expansion, and steroids

verfasst von: Martin B. Schmidt

Erschienen in: Empirical Economics | Ausgabe 6/2021

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Abstract

We examine the temporal movements in three anthropometric measurements of a professional sport’s athlete population. Specifically, we examine unit root test results, traditional, nonlinear, and those that allow of possible structural breaks, for average player height, weight, and body mass index for the population of Major League Baseball athletes over the period 1901–2019. These anthropometric measures are likely associated with the athletes’ level of productivity. In the end, we find that the average values for the measures of players’ body mass index and weight are found to be nonstationary, while the average values of players’ height are stationary around a nonlinear trend. We further find that these series have been subject to a number of structural shocks. These shocks correspond to well-known events in Major League Baseball history, such as its ‘Deadball’ era, racial integration, periods of Major League Baseball expansion, innovations with respect to player management, the advent of free agency, and the so-called Steroid Era.

Vorheriger Artikel Has healthcare expenditure converged across Australian states and territories?

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The BMI measure—the ratio of the weight in kilograms divided by the square of the height in meters—was first described by Quetelet (1832). The measure was known as the Quetelet Index until it was termed the Body Mass Index by Keys et al. (1972).

Average life expectancy rose from roughly 30 years in the 1730s to roughly 50 years by 1900. See Floud et al. (2011).

Gorry (2017) finds that an extra inch of height is associated with an increase in reported GPA by about 0.013 points. A foot of difference in height, therefore, is associated with an increase in GPA by approximately one-fifth of a standard deviation on average.

Greater coordination, such as enhancing broader cooperation or promoting more regional integration in the health policies, may facilitate the transfer of information across countries thereby increasing policy effectiveness (Kasman and Kasman 2020)”.

Bud Sielig, the MLB’s Commissioner, commissioned the report after the publication of Game of Shadows and a Congressional Hearing on Baseball’s use of steroids in 2005. See Lichtman (2009).

All player data were taken from http://www.baseball-reference.com.

We turn to estimating any possible shocks to these in the next two sections.

The latter two augment the traditional ADF and LM test.

For continuity, we refer to Perron and Yabu’s A2 approach as Model 1 and their A3 approach as Model 2.

We thank an anonymous referee for the suggestion.

While a long time series of anthropometric data is largely lacking, we were able or a subset of the data, 1914:2014, for United States average population height from the NCD Risk Factor Collaboration (https://www.ncdrisc.org/data-downloads-height.html).

For the Bai and Perron (2003) approach, the detrended series estimates two breaks. The first of these breaks, however, has a very large 95% confidence interval—1938–1960—and the second has an interval from 1980–1983. The latter matches the earlier result, while former overlaps two of the earlier findings, i.e., 1958–1962 and 1944–1949. The two earlier estimated breaks, 1933–1937 and 1911–1920—are largely excluded as the detrended data begins nearly 15 years later.

See Schmidt (2020), for a review of this literature.

The obvious downturn in the average number of players in 1994 and 1995 was an outgrowth work stoppage that forced the cancellation of 948 games between the end of the 1994 and the start of the 1995 season.

In 1922, for example, New York Giants paid the San Francisco Seals $75,000 for the contract of Jimmy O’Connell, who had been favorably compared to Babe Ruth

See Gordon (2018) for a through discussion on these factors.

Nightwatch—September 28th, 1988.

In his book Juiced, Canseco writes that he believes that 85% of MLB players were using steroids during this period. See Canseco (2005).

Bai J, Perron P (1998) Estimating and testing linear models with multiple structural changes. Econometrica 66(1):47–78CrossRef

Bai J, Perron P (2003) Computation and analysis of multiple structural change models. J Appl Econom 18:1–22CrossRef

Bai J, Perron P (2006) Multiple structural change models: a simulation analysis. In: DeanCorbae P, Durlauf S, Hansen BE (eds) Econometric theory and practice: frontiers of analysis and applied research. Cambridge University Press, Cambridge, pp 212–237CrossRef

Bai J, Perron P, Lumsdaine RL, Stock JH (1998) Testing for and dating common breaks in multivariate time series. Rev Econ Stud 65:395–432CrossRef

Becker R, Enders W, Lee J (2006) A stationairy test in the presence of an unknown number of smooth breaks. J Time Ser Anal 27:381–409CrossRef

Ben-David D, Lumsdaine RL, Papell DH (2003) Unit roots, postwar slowdowns and long-run growth: evidence from two structural breaks. Empir Econ 28:303–319CrossRef

Bierens H (1997) Testing for a unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate. J Econ 81:29–64CrossRef

Canseco J (2005) Juiced: wild times, Rampant ’Roids, smash hits, and how baseball got big. Regan Books, New York

Carrion-i-Silvestre J, Kim D, Perron P (2009) GLS-based unit root tests with mupltiple structural breaks under both the null and the alternative hypotheses. Econ Theory 25:1754–1792CrossRef

Case A, Paxson C (2008) Stature and status: height, ability, and labor market outcomes. J Polit Econ 116:499–532CrossRef

Davies RB (1987) Hypothesis testing when a nuisance parameter is present only under the alternatives. Biometrika 47:33–43

Dolado JJ, Gonzalo J, Mayoral L (2002) A fractional Dickey–Fuller test for unit roots. Econometrica 70:1963–2006CrossRef

Elliott G, Rothenberg TJ, Stock JH (1996) Efficient tests for an autoregressive unit root. Econometrica 64:813–836CrossRef

Enders W, Granger C (1998) Unit-root tests and asymmetric adjustment with an example using the term structure of interest rates. J Bus Econ Stat 16:304–11

Enders W, Granger C, Lee J, Sandler T (1993) The effectiveness of anti-terrorism politics: vector-autoregression intervention analysis. Am Polit Sci Rev 87:829–44CrossRef

Enders W, Granger C, Lee J (2012) The flexible Fourier form and Dickey–Fuller type unit root tests. Econ Lett 117:196–199CrossRef

Enders W, Granger C, Lee J (2012) A unit root test using a Fourier series to approximate smooth breaks. Oxf Bull Econ Stat 74:574–599CrossRef

Estrada F, Perron P (2019) Breaks, trends and the attribution of climate change: a time-series analysis. Economia 42:1–31CrossRef

Floud R, Fogel RW, Harris B, Hong SC (2011) The changing body: health, nutrition, and human development in the western world since 1700, number foge10-1. In ‘NBER Books.’, National Bureau of Economic Research, Inc

Fort RD, Lee YH (2007) Structural change, competitive balance, and the rest of the major leagues. Econ Inq 45:519–532CrossRef

Gallant AR (1981) On the bias in flexible functional forms and an essentially unbiased form: the fourier flexible form. J Econom 15:211–245CrossRef

Ghoshray A, Mohitosh K, Wohar M (2014) Breaks, trends and unit roots in commodity prices: a robust investigation. Stud Nonlinear Dyn Econom 18:23–40

Gordon DJ (2018) The rise and fall of the deadball era. Baseb Res J 47:92–102

Gorry D (2017) The influence of height on academic outcomes. Econ Educ Rev 56:1–8CrossRef

Harvey DI, Leybourne SJ, Taylor RAM (2013) Testing for unit root in the possible presence of multiple trend breaks using minimum Dickey–Fuller statistics. J Econom 177:265–284CrossRef

Kapetanios G, Shin Y, Snell A (2003) Testing for a unit root in the nonlinear STAR framework. J Econom 112:359–379CrossRef

Kasman S, Kasman A (2020) Convergence in obesity and overweight rates across OECD countries: evidence from the stochastic and club convergence tests. Empir Econ 1–35 (forthcoming)

Keys A, Fidanza F, Karvonen MJ, Kimura N, Taylor HL (1972) Indices of relative weight and obesity. J Chronic Dis 25:329–343CrossRef

Kim D, Perron P (2009) Unit root tests allowing for a break in the trend function at an unknown time under both the null and alternative hypotheses. J Econom 148:1–13CrossRef

Kruse R (2011) A new unit root test against ESTAR based on a class of modified statistics. Stat Pap 52:71–85CrossRef

Kwiatkowski D, Phillips P, Schmidt P, Shin Y (1992) Testing the null of stationarity against the alternative of a unit root. J Econom 54:159–178CrossRef

Lee YH, Fort R (2005) Structural change in MLB compeitive balance: the depression, team location and integration. Econ Inq 43:158–169CrossRef

Lee J, Strazicich MC (2013) Minimum LM unit root test with one structural break. Econom Bull 33:2483–2492

Lee J, Strazicich MC, Strazicich M (2003) Minimum Lagrange multiplier unit root test with two structural breaks. Rev Econ Stat 85:1082–1089CrossRef

Leybourne S, Mills T, Newbold P (1998) Spurious rejections of Dickey–Fuller tests in the presence of a break under the null. J Econom 87:191–203CrossRef

Lichtman M (2009) How do players age? https://tht.fangraphs.com/how-do-baseball-players-age-part-1/. Accessed 20 May 2020

Loh ES (1993) The economic effects of physical appearance. Soc Sci Q 74:420–438

Lumsdaine RL, Papell D (1997) Multiple trend breaks and the unit-root hypothesis. Rev Econ Stat 79:212–218CrossRef

Narayan PK, Popp S (2010) A new unit root test with two structural breaks in level and slope at unknown time. J Appl Stat 37:1425–28CrossRef

Ng S, Perron P (2001) Lag length selection and the construction of unit root tests with good size and power. Econometrica 69(9):1519–1554CrossRef

Nghiem S, Vu B, Barnett A (2018) Trends and determinants of weight gains among OECD countries: an ecological study. Public Health 159:31–39CrossRef

Park JY, Shintani M (2016) Testing for a unit root agianst transional autoregressive models. Int Econ Rev 57:635–664CrossRef

Perron P (1989) The Great Crash, the oil price shock and the unit root hypothesis. Econometrica 57:1361–1401CrossRef

Perron P (1990) Testing for a unit root in a time series regression with a changing mean. J Bus Econ Stat 8:153–162

Perron P, Yabu T (2009) Estimating deterministic trends with an integrated or stationary noise component. J Econom 151:56–69CrossRef

Perron P, Yabu T, Shintani M, Yabu T (2017) Testing for flexible nonlinear trends with an integrated or stationary noise component. Oxf Bull Econ Stat 79(5):822–850CrossRef

Phillips PCB, Perron P (1988) Testing for a unit root in time series regression. Econometrica 75:335–346

Quetelet A (1832) Recherches sur le poids de l’homme aux différens âges. Nouveaux mémoires de l’Académie Royale des Sciences et Belles-Lettres de Bruxelles 7:1

Robinson PM (1994) Efficient tests of nonstationary hypotheses. J Am Stat Assoc 89:1420–1437CrossRef

Schmidt MB (2020) Institutional change and the coase theorem: free agency and career length

Schmidt MB (2020) The competitive returns to the global search for talent: professional sports markets and foreigners. Econ Inq 1–35 (forthcoming)

Schmidt MB (2011) Institutional change and factor movement in major league baseball: an examination of the coase theorem’s Invariance Principle. Rev Ind Organ 39:187–205CrossRef

Sollis R (2009) A simple unit root test against asymmetric STAR nonlinearity with an application to real exchange rates in nordic countries. Econ Model 26:118–125CrossRef

Tanaka K (1999) The nonstationary fractional unit root. Econom Theory 15:549–582CrossRef

Zimbalist A (1992) Baseball and billions. Basic Books, New York

Zimbalist A (2003) May the best team win; baseball economics and public policy. The Brookings Institution, Brookings Institution Press, Washington

Titel: On the evolution of athlete anthropometric measurements: racial integration, expansion, and steroids
verfasst von: Martin B. Schmidt
Publikationsdatum: 18.01.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Empirical Economics / Ausgabe 6/2021
Print ISSN: 0377-7332
Elektronische ISSN: 1435-8921
DOI: https://doi.org/10.1007/s00181-020-02012-0

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