Rows Adjusted for Columns versus Simple Row Means in Two-Way ANOVA: When are the Two Hypotheses Equivalent?
双因素方差分析中列调整行效应与简单行均值假设的等价条件
In an unbalanced, fixed-effects, two-way analysis of variance there are three distinct, frequently encountered hypotheses, each of which can be described as a hypothesis of “no row effects.” This article derives necessary and sufficient conditions on the cell sizes for the “rows adjusted for columns” hypothesis to be identical to the “simple row means” hypothesis. The results in this article, together with previous results, complete the characterizations in terms of cell…