WHO ARE THE BEST SNOOKER PLAYERS AND WHAT SETS THEM APART FROM THE REST?

我的研究的主要目的是使用数学建模和统计分析来识别最好的斯诺克球员，并探索他们与其他人的区别。我将分析斯诺克比赛的结果：1。评估用于对职业斯诺克球员进行排名和评级的替代数学模型（例如Elo，Markov和Bradley-Terry模型），以建立一个强大的系统来量化不同球员的相对能力，该系统可用于估计一名球员击败另一名球员的潜在概率。2.为球员的当前状态制定一个合适的衡量标准，并使用适当的统计分析来评估这是否会影响比赛的结果。同样，我将测试是否有任何统计学上显著的证据表明，在一场比赛中，球员赢得下一帧的概率受到前几帧结果的影响。我还将从比赛中收集数据，以便：3。审查当前使用的绩效指标（例如，底池成功率和安全成功率），并考虑是否有任何与比赛结果更密切相关的替代指标和/或有助于解释为什么有些球员比其他球员更成功。通过这一点，我希望影响收集的数据，并为球员，教练，评论员和更广泛的斯诺克观众以及未来的分析师和建模者提供更丰富的信息来源。

The broad aim of my research is to use mathematical modelling and statistical analysis to identify the best snooker players and to explore what differentiates them from the rest. I will be analysing the results of snooker matches to:1. Evaluate alternative mathematical models for ranking and rating professional snooker players (e.g. Elo, Markov & Bradley-Terry models) in order to establish a robust system for quantifying the relative ability of different players which can be used to estimate the underlying probability that one player will beat another. 2. Develop a suitable measure for a player's current form and assess, using appropriate statistical analysis, whether this affects the likely outcome of a match. Similarly, I will test whether there is any statistically significant evidence that within a match the probability that a player will win the next frame is affected by the outcomes of previous frames. I will also gather data from within matches in order to:3. Review the performance measures currently used (e.g. pot success and safety success rates) and consider whether there are any alternative measures which are more strongly associated with the outcome of a match and / or help to explain why some players are more successful than others. Through this I hope to influence the data that is collected and provide a richer source of information for players, coaches, commentators and the wider snooker audience, as well as future analysts and modellers.