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具有药物试验应用的非参数多变量单调趋势检验AI 解读

During a drug trial, each subject may have many blood constituents measured at regular time intervals. The traditional method of evaluating such data using normal ranges has undergone much controversy in the clinical chemistry literature. We propose a new multivariate test for monotone trend based on Kendall's τ statistic as a way to test for change in blood constituents over the course of a drug experiment. The new test avoids the unrealistic assumptions and repeated…

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分布无关的两样本尺度检验AI 解读

Several linear rank statistics have been proposed in the literature for the two-sample scale problem. We propose a new class of statistics which are distribution free when the populations are identical, but are not linear rank statistics. Our analogs of the Ansari-Bradley, Mood, and Klotz tests are of particular interest. Each has the same Pitman efficiency as its corresponding linear rank statistic, and yet our small-sample power is significantly higher. In addition, our…