Measuring X-Efficiency in NCAA Division III Athletics

Abstract

This article expands on previous research regarding the relative efficiency of National Collegiate Athletic Association III Athletic Departments. In our analysis, we employ Frontier Analysis to develop an efficiency score for each program over the time frame of 2007-2008 to 2011-2012. We find that private schools dominate the rankings of the most efficient athletic departments. In addition, it is clear that some inputs are more valuable than others. In reviewing the yearly cross-sectional results, it is evident that for the average institution, increasing the number of female students participating in sports will yield the greatest expected increases in Director’s Cup points.

Keywords

X-efficiency NCAA Division III efficiency sports athletic departments

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References

Abbott

Doucouliagos

(2003). The efficiency of Australian universities: A data envelopment analysis. Economics of Education Review, 22, 89–97.

Afonso

Santos

(2005). Students and teachers: A DEA approach to the relative efficiency of Portuguese public universities (ISEG-UTL Economics Working Paper 07).

Battese

Coelli

(1988). Prediction of firm-level technical efficiencies with a generalized frontier production function and panel data. Journal of Econometrics, 38, 387–399.

Battese

Coelli

(1992). Frontier production functions, technical efficiency and panel data: With application to paddy farmers in India. Journal of Productivity Analysis, 3, 153–169.

Battese

Coelli

(1995). A model for technical inefficiency effects in a stochastic frontier production function for panel data. Empirical Economics, 20, 325–332.

Belfield

(2012). Measuring efficiency in the community college sector (CCRC Working Paper No. 43). New York, NY: The City University of New York.

Belotti

Ilardi

(2012). Consistent estimation of the “true” fixed-effects stochastic frontier model (CEIS Research Papers (231)).

Belotti

Daidon

Ilardi

Atella

(2012). Stochastic frontier analysis using Stata. The Stata Journal vv, 10, 1–39.

Collier

Johnson

A. L.

Ruggiero

(2011). Measuring technical efficiency in sports. Journal of Sports Economics, 12, 579–598.

10.

Daghbashyan

(2013). Essays on university efficiency analysis and entrepreneurship among university graduates. KTH Royal Institute of Technology.

11.

Einolf

K. W.

(2004). Is winning everything? A data envelopment analysis of major league baseball and the national football league. Journal of Sports Economics, 5, 127–151.

12.

Greene

(2005a). Reconsidering heterogeneity in panel data estimators of the stochastic frontier model. Journal of Econometrics, 126, 269–303.

13.

Greene

(2005b). Fixed and random effects in stochastic frontier models. Journal of Productivity Analysis, 23, 7–32.

14.

Haas

D. J.

(2003). Technical efficiency in the major league soccer. Journal of Sports Economics, 4, 203–215.

15.

Hadley

Poitras

Ruggiero

Knowles

(2000). Performance evaluation of national football league teams. Managerial and Decision Economics, 21, 63–70.

16.

Horowitz

(1994a). Pythagoras, Tommy Lasorda, and me: On evaluating baseball manager. Social Science Quarterly, 75, 187–194.

17.

Horowitz

(1994b). On the manager as principal clerk. Managerial and Decision Economics, 15, 413–419.

18.

Jondrow

Lovell

C. A. K.

Materov

I. S.

Schmidt

(1982). On the estimation of technical inefficiency in the stochastic frontier production function model. Journal of Econometrics, 19, 233–238.

19.

Jones

W. A.

(2012). Exploring the relationship between intercollegiate athletic expenditures and team on-field success among NCAA Division I institutions. Journal of Sports Economics, 14, 584–605. doi:10.1177/1527002511433469

20.

Kao

Hung

H-.T.

(2008). Efficiency analysis of university departments: An empirical study. Omega, 36, 653–664.

21.

Kumbhakar

(1990). Production frontiers, panel data and time-varying technical inefficiency. Journal of Econometrics, 46, 20–212.

22.

Kumbhakar

S. C.

Knox Lovell

C. A.

(2000). Stochastic frontier analysis. Cambridge, England: Cambridge University Press.

23.

National Association of Collegiate Directors of Athletics. (2013). 2012-13 Learfield sports directors’ cup. Retrieved September 13, 2013, from http://www.nacda.com/directorscup/nacda-directorscup-current-scoring.html

24.

Porter

P. K.

Scully

G. W.

(1982). Measuring managerial efficiency: The case of baseball. Southern Economic Journal, 48, 642–650.

25.

Schein

E. H.

(1996). Three cultures of management: The key to organizational learning. Sloan Management Review. Retrieved from October 15, 1996, http://sloanreview.mit.edu/article/three-cultures-of-management-the-key-to-organizational-learning/

26.

Schmidt

Sickles

(1984). Production frontiers and panel data. Journal of Business Economics and Statistics, 2, 367–374.

27.

Tauer

L. W.

Fried

H. O.

Fry

W. E.

(2007). Measuring efficiencies of academic departments within a college. Education Economics, 15, 473–489.

28.

U.S. Department of Education. (2013). The equity in athletics data analysis cutting tool. Retrieved September 13, 2013, from http://ope.ed.gov/athletics/

29.

U.S. Department of Labor. (2013). Consumer price index, all urban consumers—(CPI-U). Retrived September 13, 2013, from ftp://ftp.bls.gov/pub/special.requests/cpi/cpiai.txt