排名得分中的平局可以被视为加权样本
Ties in ranking scores can be treated as weighted samples
摘要：
先前的累积统计建议对分数（回归中的自变量）进行微小的随机扰动，以确保分数的唯一性。唯一性意味着被分析的群体或亚群体的任何成员的得分都不完全等于任何其他成员的得分。事实证明，可以从原始数据中构建一个加权数据集，该数据集修改分数，权重和响应（回归中的因变量），使得新分数是唯一的，并且（与新权重和响应一起）为原始数据产生所需的累积统计数据。这减少了分析具有可能不是唯一的分数的数据的问题，而不是分析具有通过构造而唯一的分数的加权数据集的问题。最近关于累积统计的建议已经详细说明了如何处理分数唯一的加权样本。
英文摘要：
Prior proposals for cumulative statistics suggest making tiny random perturbations to the scores (independent variables in a regression) in order to ensure the scores' uniqueness. Uniqueness means that no score for any member of the population or subpopulation being analyzed is exactly equal to any other member's score. It turns out to be possible to construct from the original data a weighted data set that modifies the scores, weights, and responses (dependent variables in the regression) such that the new scores are unique and (together with the new weights and responses) yield the desired cumulative statistics for the original data. This reduces the problem of analyzing data with scores that may not be unique to the problem of analyzing a weighted data set with scores that are unique by construction. Recent proposals for cumulative statistics have already detailed how to process weighted samples whose scores are unique.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
