Answer true or false to each of the following statements and explain your answers. a. In a two-way ANOVA, if there is an interaction between Factor A and Factor B, then there must be a main effect due to at least one of the factors. b. In a two-way ANOVA, if there is no Factor A main effect and no Factor B main effect, then there can be no interaction effect between Factor A and Factor B.

Question

Answer true or false to each of the following statements and explain your answers.

a. In a two-way ANOVA, if there is an interaction between Factor A and Factor B, then there must be a main effect due to at least one of the factors.

b. In a two-way ANOVA, if there is no Factor A main effect and no Factor B main effect, then there can be no interaction effect between Factor A and Factor B.

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