Why are there more sets of null and alternative hypotheses that can be tested in two-way ANOVA compared to the one-way and the randomized block design?
In the two-way analysis of variance we are interested in the effect of two factors and their interaction on the dependent variable. Therefore, we test for each factor effect and for interaction. In the one-way analysis of variance and the randomized block designs, we are interested in only one factor effect.
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