Question

In a study with four groups and 10 participants in each group, the sum of squares for the between-groups source of variation is 60. What is the value for the mean square between groups in this study

Answer 1

20

Explanation:

Given that:

The study group n = 4

number of participants = 10

the sum of squares for the between-groups source of variation is 60

The objective is to determine the mean square between groups in this study

The mean square between groups in this study compares the means of the group with the sum of squares for the between-groups source (i.e the grand mean)

For this analysis;

the degree of freedom = n-1

the degree of freedom = 4 - 1

the degree of freedom = 3

Thus; the mean square between groups =
`(60)/(3)`

the mean square between groups = 20