A researcher is performing a two-way ANOVA using two factors. The first factor has levels and the second factor has 3 levels. In the ANOVA Summary Table, the degrees of
Freedom for the first and second factors will be
A) 7 d.f. for the first factor and 3 d.f. for the second factor
B) 8 d.f. for the first factor and 4 d.f. for the second factor
C) 6 d.f. for the first factor and 2 d.f. for the second factor
D) 21 d.f. for the first factor and 21 d.f. for the second factor

Question

Quizplus · Accepted Answer

The degrees of freedom (d.f.) for a factor in ANOVA is calculated as the number of levels of the factor minus 1. If the first factor has levels (not specified), assuming it means "levels" as a placeholder for an actual number, and the second factor has 3 levels, then the d.f. for the first factor cannot be determined from the information given. However, for the second factor with 3 levels, the d.f. would be 3 - 1 = 2. None of the choices accurately reflect the scenario for the first factor due to the missing information, but choice C correctly states the d.f. for the second factor based on the information typically used to calculate degrees of freedom in ANOVA.

A Researcher Is Performing a Two-Way ANOVA Using Two Factors