Between group variance is a measure of Within groups varian

Between group variance is a measure of ______________

Within groups variance is a measure of _______________

1. The distance between sample variance

2. The standard dev. of the distribution of means

3. The average distance of any sample score to that sample\'s mean

4. The average distance of the sample means to the grand mean

Solution

a) Between group variance is a measure of :

The average distance of the sample means to the grand mean. (option 4)

Grand mean is a mean computed for all groups under consideration, where each group has its own mean.

Variance between the group is the measure that depicts the difference between grand mean and mean of each group (i.e. sample mean)

b) Within group variance is a measure of :

The average distance of any sample score to that sample\'s mean. (option 3)

Variance within a group mean a variance of that group itself. Where group is considered as a sample. Variance of any sample is a measure of variability of the sample mean from the sample scores.