与方差分析相关的两项新检验

Two New Tests Associated with Analysis of Variance

Journal of the Royal Statistical Society. Series B: Statistical Methodology · 1984
被引 79
ABS 4

中文导读

本文提出了两项与方差分析相关的新检验:第一项检验处理与内在因素之间是否存在定性交互作用,第二项检验处理效应是否存在,并计算了选择容许量。

Abstract

SUMMARY Two new tests are described in connexion with analysis of variance. The first is for the presence of qualitative interaction between a treatment and an intrinsic factor, both with qualitatively defined levels. Such an interaction is said to be present if there are two levels of the treatment factor and two levels of the intrinsic factor such that the treatment difference has opposite signs at the two levels of the intrinsic factor. The second test is for the presence of a treatment effect which can be tested via any of a hierarchical sequence U 1, U 1 + U 2, …, U 1 + … + Ur of sums of squares. An allowance for selection is calculated.

统计学方差分析假设检验交互作用