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Suppose we have two factors A and B. What does an A x B interaction mean in a two way ANOVA?Group of answer choicesThe main effects for factors A and B must be short of significanceThe effect of factor A depends on the level of factor BThere must be a significant main effect for factors A and B

Question

Suppose we have two factors A and B. What does an A x B interaction mean in a two way ANOVA?Group of answer choicesThe main effects for factors A and B must be short of significanceThe effect of factor A depends on the level of factor BThere must be a significant main effect for factors A and B

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Solution

An A x B interaction in a two-way ANOVA means that the effect of factor A depends on the level of factor B. This interaction indicates that the impact of one factor varies depending on the level of the other factor. In other words, the effect of A is not the same at all levels of B and vice versa. This does not necessarily mean that there must be a significant main effect for factors A and B. Even if the main effects of A and B are not significant, their interaction can still be significant.

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Similar Questions

Suppose we have two factors A and B. What does an A x B interaction mean in a two way ANOVA?

The results from a two-factor analysis of variance show a significant main effect for factor A and a significant main effect for factor B. Based on this information, what can you conclude about the interaction between the two factors?​Group of answer choices​There probably is a significant interaction.​You cannot make any conclusion about the significance of the interaction.​There must be a significant interaction.​The interaction cannot be significant.

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