Granularity of weighted averages and use of rate statistics in AggPro

T. Highley, Ross Gore, Cameron Snapp
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Abstract

AggPro predicts baseball statistics by utilizing a weighted average of predictions provided by several other statistics projection systems. The aggregate projection that is generated is more accurate than any of the constituent systems individually. We explored the granularity at which weights should be assigned by considering four possibilities: a single weight for each projection system, one weight per category per system, one weight per player per system, and one weight per player per category per system. We found that assigning one weight per category per system provides better results than the other options. Additionally, we projected raw statistics directly and compared the results to projecting rate statistics scaled by predicted player usage. We found that predicting rate statistics and scaling by predicted player usage produces better results. We also discuss implementation challenges that we faced in producing the AggPro projections.
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加权平均的粒度和AggPro中率统计的使用
AggPro通过使用其他几个统计预测系统提供的预测的加权平均值来预测棒球统计数据。生成的聚合投影比单独的任何组成系统都更准确。我们通过考虑四种可能性来探索分配权重的粒度:每个投影系统的单个权重,每个系统的每个类别的一个权重,每个系统的每个玩家的一个权重,每个系统的每个类别的每个玩家的一个权重。我们发现为每个系统的每个类别分配一个权重比其他选项提供更好的结果。此外,我们直接预测原始统计数据,并将结果与预测玩家使用率的预测率统计数据进行比较。我们发现通过预测玩家使用情况来预测率统计数据和缩放会产生更好的结果。我们还讨论了在生成AggPro预测时所面临的实现挑战。
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