Consider a two-factor factorial experiment with 4 levels of factor 1,5 levels of factor 2,and 3 observations per cell.If we use a two-way ANOVA to analyze the data from this experiment,the total degrees of freedom is:
A)21
B)16
C)59
D)40
E)12

Question

Quizplus · Accepted Answer

The total degrees of freedom in a two-way ANOVA can be calculated as the product of the number of levels in each factor and the number of observations per cell minus 1. For this experiment, there are 4 levels of factor 1, 5 levels of factor 2, and 3 observations per cell. Therefore, the total number of observations is 4 * 5 * 3 = 60. The total degrees of freedom is then 60 - 1 = 59.

Consider a Two-Factor Factorial Experiment with 4 Levels of Factor