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We mathematically prove that an existing linear predictor of baseball teams' winning percentages (Jones and Tappin 2005) is simply just a first-order approximation to Bill James' Pythagorean Won-Loss formula and can thus be written in terms…

Applications · Statistics 2012-05-23 Kevin D. Dayaratna , Steven J. Miller

Over the past century, basketball analytics has moved from simple box-score rates toward complex context-aware measures that evaluate events by their expected effect on game outcomes. Officiating analysis has not made the same transition:…

Applications · Statistics 2026-05-19 Nirek Duma , Leo Benaharon

The process of decision-making in football is characterized by a complex interplay between spatial positioning, opponent pressure, and player intent. This work introduces a Graph Neural Network (GNN) framework designed to predict Receiver…

Machine Learning · Computer Science 2026-05-26 Gabriel Masella , Giuseppe Alessio D'Inverno , Max Goldsmith , Gianluigi Rozza

We present an extensive statistical analysis of the results of all sports competitions in five major sports leagues in England and the United States. We characterize the parity among teams by the variance in the winning fraction from…

Data Analysis, Statistics and Probability · Physics 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

Two new Bayesian methods for estimating and predicting in-game home team win probabilities are proposed. The first method has a prior that adjusts as a function of lead differential and time elapsed. The second is an adjusted version of the…

Methodology · Statistics 2022-04-26 Jason Maddox , Ryan Sides , Jane Harvill

American football is unique in that offensive and defensive units typically consist of separate players who don't share the field simultaneously, which tempts one to evaluate them independently. However, a team's offensive and defensive…

Applications · Statistics 2025-06-04 Andrey Skripnikov , Sujit Sivadanam

Motivated by the goal of evaluating real-time forecasts of home team win probabilities in the National Basketball Association, we develop new tools for measuring the quality of continuously updated probabilistic forecasts. This includes…

Methodology · Statistics 2020-10-05 Chi-Kuang Yeh , Gregory Rice , Joel A. Dubin

Statistical applications in sports have long centered on how to best separate signal (e.g. team talent) from random noise. However, most of this work has concentrated on a single sport, and the development of meaningful cross-sport…

Applications · Statistics 2017-11-23 Michael J. Lopez , Gregory J. Matthews , Benjamin S. Baumer

In recent years excessive monetization of football and professionalism among the players has been argued to have affected the quality of the match in different ways. On the one hand, playing football has become a high-income profession and…

Physics and Society · Physics 2023-01-05 Victor Martins Maimone , Taha Yasseri

There seems to be an upper limit to predicting the outcome of matches in (semi-)professional sports. Recent work has proposed that this is due to chance and attempts have been made to simulate the distribution of win percentages to identify…

Applications · Statistics 2015-08-21 Albrecht Zimmermann

Defensive Pass Interference (DPI) is one of the most impactful penalties in the NFL. DPI is a spot foul, yielding an automatic first down to the team in possession. With such an influence on the game, referees have no room for a mistake. It…

Machine Learning · Computer Science 2022-06-28 Arian Skoki , Jonatan Lerga , Ivan Štajduhar

Machine learning models have become increasingly popular for predicting the results of soccer matches, however, the lack of publicly-available benchmark datasets has made model evaluation challenging. The 2023 Soccer Prediction Challenge…

Machine Learning · Computer Science 2023-09-27 Calvin Yeung , Rory Bunker , Rikuhei Umemoto , Keisuke Fujii

Throughout the analytical revolution that has occurred in the NBA, the development of specific metrics and formulas has given teams, coaches, and players a new way to see the game. However - the question arises - how can we verify any…

Machine Learning · Computer Science 2023-09-14 Eamon Mukhopadhyay

Player tracking data have provided great opportunities to generate novel insights into understudied areas of American football, such as pre-snap motion. Using a Bayesian multilevel model with heterogeneous variances, we provide an…

Applications · Statistics 2025-02-25 Quang Nguyen , Ronald Yurko

To many statisticians and citizens, the outcome of the most recent U.S. presidential election represents a failure of data-driven methods on the grandest scale. This impression has led to much debate and discussion about how the election…

Other Statistics · Statistics 2017-04-06 Harry Crane , Ryan Martin

In machine learning tasks, especially in the tasks of prediction, scientists tend to rely solely on available historical data and disregard unproven insights, such as experts' opinions, polls, and betting odds. In this paper, we propose a…

Machine Learning · Computer Science 2021-12-06 Jafar Habibi , Amir Fazelinia , Issa Annamoradnejad

The increasing number of spectators and players in e-sports, along with the development of optimized communication solutions and cloud computing technology, has motivated the constant growth of the online game industry. Even though…

Artificial Intelligence · Computer Science 2025-10-23 Silvia García-Méndez , Francisco de Arriba-Pérez

During the 2017 NBA playoffs, Celtics coach Brad Stevens was faced with a difficult decision when defending against the Cavaliers: "Do you double and risk giving up easy shots, or stay at home and do the best you can?" It's a tough call,…

Machine Learning · Computer Science 2018-03-09 Jiaxuan Wang , Ian Fox , Jonathan Skaza , Nick Linck , Satinder Singh , Jenna Wiens

Donald Trump was lagging behind in nearly all opinion polls leading up to the 2016 US presidential election, but he surprisingly won the election. This raises the following important questions: 1) why most opinion polls were not accurate in…

Information Theory · Computer Science 2019-01-01 Weiyu Xu , Lifeng Lai , Amin Khajehnejad

This paper presents a groundbreaking model for forecasting English Premier League (EPL) player performance using convolutional neural networks (CNNs). We evaluate Ridge regression, LightGBM and CNNs on the task of predicting upcoming player…

Machine Learning · Computer Science 2024-05-07 Daniel Frees , Pranav Ravella , Charlie Zhang