Identifying key factors in momentum in basketball games. (English) Zbl 1521.62283
Summary: Momentum as elaborated under a recent novel definition has been shown quantitatively to have a significant impact on basketball game outcomes. This paper makes two contributions to the analytical literature on sports momentum: (1) two aspects of the new definition are operationalized so that its practicality becomes evident; and (2) through a dimension-reduction technique (elastic net), key factors associated with momentum are identified. Both technical variables such as field goals, assists, rebounds, etc. and environmental variables such as the spectator attendance rate and player salary dispersion are considered, and the potential for useful real-time analyzes is illustrated.
MSC:
| 62-XX | Statistics |
Software:
glmnetReferences:
| [1] | Arkes, J.; Martinez, J., Finally, evidence for a momentum effect in the NBA, J. Quant. Anal. Sports, 7, 12-21 (2011) |
| [2] | Bunker, R. P.; Thabtah, F., A machine learning framework for sport result prediction, Appl. Comput. Inform., 15, 27-33 (2019) · doi:10.1016/j.aci.2017.09.005 |
| [3] | Cervone, D.; D’Amour, A.; Bornn, L.; Goldsberry, K., A multiresolution stochastic process model for predicting basketball possession outcomes, J. Am. Stat. Assoc., 111, 585-599 (2016) · doi:10.1080/01621459.2016.1141685 |
| [4] | Chen, T.; Fan, Q., A functional data analysis approach to model score difference in professional basketball games, J. Appl. Stat., 45, 112-127 (2018) · Zbl 1516.62204 · doi:10.1080/02664763.2016.1268106 |
| [5] | Friedman, J.; Hastie, T.; Tibshirani, R., Regularization paths for generalized linear models via coordinate descent, J. Stat. Softw., 33, 1-22 (2008) |
| [6] | Fry, M.; Shukairy, F., Searching for momentum in the NFL, J. Quant. Anal. Sports, 8, 32-47 (2012) |
| [7] | Hoerl, A. E.; Kennard, R. W., Ridge regression: Biased estimation for nonorthogonal problems, Technometrics, 12, 80-86 (1970) · Zbl 0202.17205 |
| [8] | Iso-Ahola, S. E.; Mobily, K., “Psychological momentum”: A phenomenon and an empirical (unobtrusive) validation of its influence in a competitive sport tournament, J. Quant. Anal. Sports, 46, 391-401 (1980) |
| [9] | Kniffin, K. M.; Mihalek, W., Within-series momentum in hockey: No returns for running up the score, Econ. Lett., 122, 400-402 (2014) · doi:10.1016/j.econlet.2013.12.033 |
| [10] | La, V., Home team advantage in the NBA: The effect of fan attendance on performance, MPRA Paper 54579, University Library of Munich, Germany, 2014. |
| [11] | Lehman, D. W.; Hahn, J., Momentum and organizational risk taking: Evidence from the national football league, Manage. Sci., 59, 852-868 (2013) · doi:10.1287/mnsc.1120.1574 |
| [12] | Mace, F. C.; Lalli, J.; Shea, M. C.; Nevin, J. A., Behavioral momentum in college basketball, J. Quant. Anal. Sports., 25, 657-663 (1992) |
| [13] | Mellalieu, S.; Hanton, S., Advances in Applied Sport Psychology: A Review (2010), New York, NY: Routledge |
| [14] | Sampaio, J.; McGarry, T.; Calleja-González, J.; Jiménez Sáiz, S.; Schelling i. del Alcázar, X.; Balciunas, M., Exploring game performance in the national basketball association using player tracking data, PLoS ONE, 10 (2015) · doi:10.1371/journal.pone.0132894 |
| [15] | Smith, E. E.; Groetzinger, J. D., Do fans matter? The effect of attendance on the outcomes of major league baseball games, J. Quant. Anal. Sports., 6 (2010) |
| [16] | Stern, H. S., A Brownian motion model for the progress of sports scores, J. Amer. Statist. Assoc., 89, 1128-1134 (1994) · doi:10.1080/01621459.1994.10476851 |
| [17] | Tibshirani, R., Regression shrinkage and selection via LASSO, J. R. Stat. Soc. Ser. B, 25, 267-288 (1996) · Zbl 0850.62538 |
| [18] | Zou, H.; Hastie, T., Regularization and variable selection via the elastic net, J. R. Stat. Soc. Ser. B, 67, 301-320 (2005) · Zbl 1069.62054 · doi:10.1111/j.1467-9868.2005.00503.x |
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