The Identity of Armitage's Two Tests of Heterogeneity of Proportions for Proportional Subclass Numbers
本文证明了在比例子类数(平衡设计)下,Armitage提出的两个用于调整分层后比例异质性的卡方检验统计量是相同的。
SUMMARY Armitage discusses two χ2 -tests for heterogeneity of proportions after adjustment for stratification. One is based on a quadratic form of the deviations from expected values and the other is a more easily calculated Pearson χ2 -test. We show, for proportional subclass numbers (or balanced designs), that the two test statistics are identical.