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棒球中的击球员连续安打具有传染性:来自长打 streak 的证据。

Hitting is contagious in baseball: evidence from long hitting streaks.

机构信息

Scalaton, La Mesa, CA, USA.

出版信息

PLoS One. 2012;7(12):e51367. doi: 10.1371/journal.pone.0051367. Epub 2012 Dec 12.

Abstract

Data analysis is used to test the hypothesis that "hitting is contagious". A statistical model is described to study the effect of a hot hitter upon his teammates' batting during a consecutive game hitting streak. Box score data for entire seasons comprising [Formula: see text] streaks of length [Formula: see text] games, including a total [Formula: see text] observations were compiled. Treatment and control sample groups ([Formula: see text]) were constructed from core lineups of players on the streaking batter's team. The percentile method bootstrap was used to calculate [Formula: see text] confidence intervals for statistics representing differences in the mean distributions of two batting statistics between groups. Batters in the treatment group (hot streak active) showed statistically significant improvements in hitting performance, as compared against the control. Mean [Formula: see text] for the treatment group was found to be [Formula: see text] to [Formula: see text] percentage points higher during hot streaks (mean difference increased [Formula: see text] points), while the batting heat index [Formula: see text] introduced here was observed to increase by [Formula: see text] points. For each performance statistic, the null hypothesis was rejected at the [Formula: see text] significance level. We conclude that the evidence suggests the potential existence of a "statistical contagion effect". Psychological mechanisms essential to the empirical results are suggested, as several studies from the scientific literature lend credence to contagious phenomena in sports. Causal inference from these results is difficult, but we suggest and discuss several latent variables that may contribute to the observed results, and offer possible directions for future research.

摘要

数据分析用于检验“击球具有传染性”的假设。描述了一个统计模型,用于研究在连续比赛连胜中,热门击球手对其队友击球的影响。编制了整个赛季的比分数据,其中包括[公式:见文本]连胜,长度为[公式:见文本]场比赛,共[公式:见文本]次观察。从连胜击球手所在球队的核心阵容中构建了处理组和对照组([公式:见文本])。使用百分位数方法自举计算[公式:见文本]来代表两组 batting 统计数据的均值分布差异的统计数据的[Formula: see text]置信区间。与对照组相比,处理组(热门连胜活跃)的击球手在击球表现上显示出统计学上的显著提高。发现治疗组的平均[Formula: see text]在热门连胜期间高出[Formula: see text]到[Formula: see text]个百分点(平均差异增加[Formula: see text]个点),而此处引入的击球热度指数[Formula: see text]观察到增加了[Formula: see text]个点。对于每项表现统计数据,都在[Formula: see text]显着性水平上拒绝了零假设。我们得出的结论是,有证据表明存在潜在的“统计传染效应”。建议了一些心理学机制,因为来自科学文献的几项研究为运动中的传染现象提供了依据。但是,很难从这些结果中进行因果推断,我们提出并讨论了几个可能导致观察到的结果的潜在变量,并为未来的研究提供了可能的方向。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0958/3520861/c746b6f4cc78/pone.0051367.g001.jpg

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