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Kendall τ与平均τ的简便计算及含基准排序平均τ的抽样分布AI 解读

Calculational short cuts for Kendall's tau and average tau and for Hays' average tau with a criterion ranking (τC ) are shown. The short cuts are based mainly on counting “inversions” in the ordering of n objects by a given judge, and summing over m judges, rather than counting agreements for a given object-pair and summing over object-pairs. The sum of the number of inversions thus counted for τC has a limiting normal distribution under the null hypothesis. From this is…

Calculational short cuts for Kendall's tau and average tau and for Hays' average tau with a criterion ranking (τC ) are shown. The short cuts are based mainly on counting “inversions” in the ordering of n objects by a given judge, and summing over m judges, rather than counting agreements for a given object-pair and summing over object-pairs. The sum of the number of inversions thus counted for τC has a limiting normal distribution under the null hypothesis. From this is…