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
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.
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 choicesThere 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.
Following a statistically significant interaction in a 2x2 factorial design, the next step, statistically, is to do an analysis of __________Group of answer choicesa) Post hocb) Simple effectsc) Main effect
In an experiment with two independent variables, the occurrence of an interaction means thatQuestion 3Answera.the effect of one independent variable was the same at all levels of the other independent variable.b.the effect of one independent variable was different at different levels of the other independent variable.c.the experiment was poorly designed.d.there was a ceiling effect.
A factor could have a main effect when:Group of answer choicesThe mean score at each of its levels is greater than the mean score at any level of the other factorThe marginal mean scores of the conditions making up that factor are not equalThe marginal mean scores of the conditions making up that factor are equal
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