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John W. Tukey 对多重比较的贡献AI 解读

This article provides a historical overview of the philosophical, theoretical and practical contributions made by John Tukey to the field of simultaneous inference. His early work, culminating in the monograph "The Problem of Multiple Comparisons," established him as one of the pioneers in the field, investing it with both academic respectability and a focus on practical problems. For many years afterward, Tukey only published sporadically in the area but remained convinced…

Summary This paper presents a method, based on the empirical distribution function, for testing goodness of fit (gf) under composite null hypotheses. After the unknown parameters are estimated from the entire data set, the procedure calls for the transformed sample to be randomly partitioned into a large number of groups, and a gf statistic calculated for each group. These statistics are used to construct a test which can attain, asymptotically, any desired level α, and…