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相对风险 Mantel–Haenszel 检验的小样本性质AI 解读

For the analysis of combinations of 2 × 2 contingency tables Cochran (1954) and also Mantel & Haenszel (1959) proposed related statistics for the null hypothesis that the relative risk Ψ has the value unity from table to table. Using the model with constant effects on a logistic scale of probabilities (e.g. Cox, 1970), this paper presents some numerical studies on the exact distribution of the Mantel-Haenszel test statistic under the null hypothesis, as well as its exact…

Mantel–Haenszel相对风险检验的小样本性质AI 解读

For the analysis of combinations of 2 × 2 contingency tables Cochran (1954) and also Mantel & Haenszel (1959) proposed related statistics for the null hypothesis that the relative risk Ψ has the value unity from table to table. Using the model with constant effects on a logistic scale of probabilities (e.g. Cox, 1970), this paper presents some numerical studies on the exact distribution of the Mantel-Haenszel test statistic under the null hypothesis, as well as its exact…

关于匹配样本卡方检验的注记AI 解读

Summary This note represents an extension of the author's results (Bennett, 1967) on the problem of tests for matched samples. These were shown to be equivalent to tests of linear hypotheses H0 concerning multinomial probabilities. Solutions for the goodness-of-fit and modified minimum chi-square tests and an explicit relation between the two tests are presented. The power function is discussed under certain alternatives to H0.

一种二元符号秩检验AI 解读

Summary Wilcoxon (1945, 1947) proposed a signed rank test for the hypothesis of equality of means in samples of n matched pairs of observations from a bivariate population in (x, y). He stated the exact distribution of the sum (= U +) of the signed ranks of the positive differences z = x - y, as well as providing some tables of the significant values Uϵ+. The present paper gives a generalization of the Wilcoxon test using the sums of the signed ranks for two correlated or…