Question

In: Statistics and Probability

The within-­groups estimate of variance is the estimate of the variance of the population of individuals...

The within-­groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:

Group of answer choices

Scores in each of the actual groups studied

Mean of the groups minus the mean of the scores of the actual groups

Equal to the between-groups estimate of population variance

Means of the groups studied

Solutions

Expert Solution

The within-­groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:

=

=

It is also called error variance. This estimate independently looks at the scores within each sample. So if there are for example 4 groups :A,B ,C ,D and each group has about 20 scores, then within group variances would mean the variance between 20 scores in group A independent of B, C or D. Same for individual B and C and D.

Scores in each of the actual groups studied

This matches the definition

Mean of the groups minus the mean of the scores of the actual groups

This is grand mean minus individual means which is not the formula.

Equal to the between-groups estimate of population variance

this is variance between groups al together. Not same as within instead their total gives the total variation.

Means of the groups studied

means are a part of calculation of within variance.


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