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This paper aims to revisit and expand upon previous work on the "hot hand" phenomenon in basketball, specifically in the NBA. Using larger, modern data sets, we test streakiness of shooting patterns and the presence of hot hand behavior in…

Applications · Statistics 2020-11-02 Brian McNair , Eric Margolin , Michael Law , Ya'acov Ritov

The debate surrounding the hot hand in the NBA has been ongoing for many years. However, many of the previous works on this theme has focused on only the very next sequential shot attempt, often on very select players. This work looks in…

Other Statistics · Statistics 2019-12-17 Samuel Henry

Streaks of success have always fascinated people and a lot of research has been conducted to identify whether the "hot hand" effect is real. While sports have provided an appropriate platform for studying this phenomenon, the majority of…

Applications · Statistics 2021-07-21 Konstantinos Pelechrinis , Wayne Winston

We investigate the hot hand phenomenon using data on 110,513 free throws taken in the National Basketball Association (NBA). As free throws occur at unevenly spaced time points within a game, we consider a state-space model formulated in…

Applications · Statistics 2023-11-16 Sina Mews , Marius Ötting

Sports data analytics is a relevant topic in applied statistics that has been growing in importance in recent years. In basketball, a player or team has a hot hand when their performance during a match is better than expected or they are on…

Applications · Statistics 2025-12-02 Gabriel Calvo , Carmen Armero , Luigi Spezia

Scoring in a basketball game is a process highly dynamic and non-linear type. The level of NBA teams improve each season. They incorporate to their rosters the best players in the world. These and other mechanisms, make the scoring in the…

The prevailing belief propagated by NBA league observers is that the workload of the NBA season dramatically influences a player's performance$^{1,2,3,4,5}$. We offer an analysis of cross game player fatigue that calls into question the…

Applications · Statistics 2021-12-30 Austin Stephen , Matthew Yep , Grace Fain

In basketball, every time the offense produces a shot opportunity the player with the ball must decide whether the shot is worth taking. In this paper, I explore the question of when a team should shoot and when they should pass up the shot…

Physics and Society · Physics 2012-01-30 Brian Skinner

Among the sports fans beliefs about "hot hands" and "winning streaks" are widely spread, while the scientific debate about these effects is still ongoing. Recently in a paper by P. Ferreira [Physica A 500: 92-96] detrended fluctuation…

Physics and Society · Physics 2019-01-31 Aleksejus Kononovicius

Timeout is a short interruption during games used to communicate a change in strategy, to give the players a rest or to stop a negative flow in the game. Whatever the reason, coaches expect an improvement in their team's performance after a…

Applications · Statistics 2022-04-12 Niander Assis , Renato Assunção , Pedro O. S. Vaz-De-Melo

Understanding player shooting profiles is an essential part of basketball analysis: knowing where certain opposing players like to shoot from can help coaches neutralize offensive gameplans from their opponents; understanding where their…

Machine Learning · Computer Science 2023-03-20 Alejandro Rodriguez Pascual , Ishan Mehta , Muhammad Khan , Frank Rodriz , Rose Yu

As 3-point shooting in the NBA continues to increase, the importance of perimeter defense has never been greater. Perimeter defenders are often evaluated by their ability to tightly contest shots, but how exactly does contesting a jump shot…

Applications · Statistics 2019-05-03 Luke Bornn , Daniel Daly-Grafstein

In recent years, analytics has started to revolutionize the game of basketball: quantitative analyses of the game inform team strategy, management of player health and fitness, and how teams draft, sign, and trade players. In this review,…

Applications · Statistics 2020-07-22 Zachary Terner , Alexander Franks

Consider the problem of modeling memory effects in discrete-state random walks using higher-order Markov chains. This paper explores cross validation and information criteria as proxies for a model's predictive accuracy. Our objective is to…

Methodology · Statistics 2019-03-22 Joshua C. Chang

The hot-hand theory posits that an athlete who has performed well in the recent past performs better in the present. We use multilevel logistic regression to test this theory for National Hockey League playoff goaltenders, controlling for a…

Applications · Statistics 2024-05-13 Likang Ding , Ivor Cribben , Armann Ingolfsson , Monica Tran

Increased data availability has stimulated the interest in studying sports prediction problems via analytical approaches; in particular, with machine learning and simulation. We characterize several models that have been proposed in the…

Other Statistics · Statistics 2023-07-11 Ignacio Erazo

Traditional NBA player evaluation metrics are based on scoring differential or some pace-adjusted linear combination of box score statistics like points, rebounds, assists, etc. These measures treat performances with the outcome of the game…

Applications · Statistics 2023-09-21 Sameer K. Deshpande , Shane T. Jensen

I address the difficult challenge of measuring the relative influence of competing basketball game strategies, and I apply my analysis to plays resulting in three-point shots. I use a glut of SportVU player tracking data from over 600 NBA…

Applications · Statistics 2017-03-22 Bradley A. Sliz

Even though it might have taken some time, the three-point line ultimately changed the way the game is played as evidenced by the increase in the three-point shot attempts over the years. However, during the last few years we have…

Applications · Statistics 2016-09-13 Konstantinos Pelechrinis

In the summer of 2017, the National Basketball Association reduced the number of total timeouts, along with other rule changes, to regulate the flow of the game. With these rule changes, it becomes increasingly important for coaches to…

Applications · Statistics 2022-08-01 Connor Gibbs , Ryan Elmore , Bailey Fosdick
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