In a mixed design factorial ANOVA, if a significant F is found for the main effect of a variable that has four levels, how can we tell which means are significantly different from one another?
a. We automatically know that the means of all levels of the variable are significantly different .
b. We compare the size of the F ratio for the main effect to the size of the F ratio for the interaction.
c. We conduct multiple comparisons tests to find out.
d. There is no way to tell for sure.
C
Multiple comparison tests are needed to determine which means are significantly different and which are not. The significant F ratio only indicates that there is a difference among the means somewhere; it doesn't indicate where.
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