A two-way ANOVA for a two-factor factorial design has 4 levels of factor 1, 3 levels of factor 2, and 5 observations per cell.
-In testing the significance of factor 1,the numerator and denominator degrees of freedom for the ANOVA F test are:
A)4,60
B)3,48
C)4,48
D)3,12
E)4,12

Question

Quizplus · Accepted Answer

The numerator degrees of freedom is the number of groups being compared, which is equal to the number of treatment means minus 1; for factor 1 it is 3-1=2. The denominator degrees of freedom is the total sample size minus the number of treatment means; for factor 1 it is 48-(3*5)=33. Therefore, the correct choice is B.

A Two-Way ANOVA for a Two-Factor Factorial Design Has 4