Optimal Substitution Time

Composite image of football Research Note Optimal Substitution Time Authors: Kaishu Mason, WG'25 Paul Sabin, Senior Sports Analytics Fellow, Wharton Sports Analytics and Business Initiative Published: October 31, 2024 The Greatest Game In the 2022 World Cup final against Argentina, France was down two goals as their hope of repeating as World Cup ChampionsRead More

The Sharpe Ratio and Hitter Evaluation: A New Application of Modern Portfolio Theory

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Modern Portfolio Theory aims to optimize risk-adjusted returns by identifying assets and creating portfolios with the highest Sharpe Ratio. Generally, there are two strategic approaches to optimizing risk-adjusted returns: maximizing returns or minimizing volatility. In traditional financial literature, it is generally understood that forecasting the future returns of an asset by using its historical returns as a proxy yields low correlation and limited accuracy. However, forecasting the future volatility of an asset is a much more precise science due to the autocorrelation of its squared returns resulting in volatility clusters. In this paper, I will draw comparisons between the ways returns and volatility are measured in financial markets and the ways they can be applied in baseball analytics. Furthermore, I will provide a framework for hitter evaluation by contextualizing the historical difficulty of predicting financial returns accurately, while capitalizing on the predictive nature of volatility.Read More

A Holistic Examination of Streakiness and Consistency in Major League Baseball

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Streakiness and baseball go hand in hand, but accurately measuring streakiness and consistency in sports is difficult. While studying hitting streaks is an old idea, relatively few works have examined streaks for hitters at the pitch outcome granularity, or for pitchers more generally. Furthermore, little is understood about how streaks correlate with more traditional player outcomes.Read More

Are “Surprise Teams” in the MLB in 2023 More Surprising?

Web-Header-WAIAI-1-650x442 Wharton Sports Analytics Journal Open Access · ISSN 3070-4065 2023 MONEYBALL ACADEMY, ROOKIE REVIEW Are "Surprise Teams" in the MLB in 2023 More Surprising? AUTHORS Chad Federico, University of Pennsylvania (Moneyball Academy) Kotaro Nagano, University of Pennsylvania (Moneyball Academy) Alejandro Wick, University of Pennsylvania (Moneyball Academy) ABSTRACT Injuries in theRead More

Running to Runs: the Importance of Baserunning

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Over the past 20 years, baseball has reduced the rate of stolen base attempts and devalued baserunning. Our project examines team level baserunning statistics to discern if there is a correlation between a team’s baserunning and its winning percentage. A factor, BsR, was created that includes all plays on the basepaths. BsR was found to correlate with team winning percentage; better baserunning results in a slight advantage.Read More

Introducing Grid WAR: Rethinking WAR for Starting Pitchers

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Traditional methods of computing WAR (wins above replacement) for pitchers are based on an invalid mathematical foundation. Consequently, these metrics, which produce reasonable values for many pitchers, can be substantially inaccurate for some. Specifically, Fangraphs and Baseball Reference compute a pitcher’s WAR as a function of his performance averaged over the entire season. This is wrong because not all runs allowed have the same impact in determining the outcome of a game: for instance, the difference in impact between allowing 1 run in a game instead of 0 is much greater than the difference in impact between allowing 6 runs in a game instead of 5. Hence we propose a new way to compute WAR for starting pitchers: Grid WAR (gWAR). The idea is to compute a starter’s gWAR for each of his individual games, and define a starter’s seasonal gWAR as the sum of the gWAR of each of his games. We find that gWAR highly values games in which a pitcher allows few runs (0 or 1).Read More

Stars Matter: an Analysis of College Football Recruiting, Development, and Draft Success

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Successful NCAA Division I Football (FBS) programs can recruit better high school players and they also produce players that are highly drafted into the NFL. This work explores which FBS programs are better at developing their players for the NFL draft, factoring in player recruiting quality. Recruiting class rating data from 247Sports.com was combine with Draft data from CollegeFootballData.com. Ohio State, Alabama and Penn State were found to be the best programs at developing their players for the NFL draft.Read More