贝叶斯混合模型对橄球联赛中预期的占有值的方法
Thomas Sawczuk1,2, Anna Palczewska1, Ben Jones2,3,4,5,6
1School of Built Environment, Engineering and Computing, Leeds Beckett University, Leeds, United Kingdom.
PloS one
|November 21, 2024
概括
这项研究引入了一种新的贝叶斯混合模型,用于橄球联赛预期占有价值 (EPV),该模型可以创建光滑的球场表面,并估计占有结果的概率,比以前的方法提供更灵活的见解.
科学领域:
- 运动分析 运动分析
- 统计建模 统计建模
- 橄球联盟研究研究
背景情况:
- 传统的橄球联盟分析通常依赖于区域模型.
- 现有的模型可能缺乏细粒度来捕捉微妙的空间概率.
- 需要先进的统计方法来模拟占有结果.
研究的目的:
- 为橄球联赛开发一个新的贝叶斯混合模型.
- 为了创建一个光滑的预期占有价值 (EPV) 投球面.
- 为了估计整个球场的个人占有结果概率.
主要方法:
- 利用了2021年超级联赛赛季的99966个观察结果.
- 采用贝叶斯的方法,对33个定义的中心进行概率估计.
- 将概率插入到所有球场位置,并推导出一个EPV测量.
主要成果:
- 产生了一个光滑的EPV投球表面,具有特定位置的概率.
- 启用了对球队进攻和防守优势的可视化.
- 开发了一个实际与预期的球员评级系统.
结论:
- 贝叶斯混合模型为橄球联盟分析提供了比区域方法更大的灵活性.
- 该模型提供了更有洞察力的结果,可以适应其他运动.
- 这种新的方法增强了对橄球联赛中占有价值的理解.
相关概念视频
Expected Frequencies in Goodness-of-Fit Tests
2.5K
A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the dataset. Suppose the expected frequencies for a dataset are equal such as when predicting the frequency of any number appearing when casting a die. In that case, the expected frequency is the ratio of the total number of observations (n) to the number of categories (k).
2.5K
Probability Laws
40.2K
Overview
40.2K
Expected Value
3.8K
The expected value is known as the "long-term" average or mean. This means that over the long term of experimenting over and over, you would expect this average. The expected average is represented by the symbol μ. It is calculated as follows:
3.8K
Determination of Expected Frequency
2.1K
Suppose one wants to test independence between the two variables of a contingency table. The values in the table constitute the observed frequencies of the dataset. But how does one determine the expected frequency of the dataset? One of the important assumptions is that the two variables are independent, which means the variables do not influence each other. For independent variables, the statistical probability of any event involving both variables is calculated by multiplying the individual...
2.1K
Probability Distributions
6.8K
The probability of a random variable x is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
6.8K
Binomial Probability Distribution
10.2K
A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
10.2K


