Question

. Describe between-group, within-group, and total variance

. Describe between-group, within-group, and total variance

Math   Statistics-And-Probability   
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Answer #1

Between Group Variance is the variation due to interaction between the samples, which is the Sum of Squares between Groups.

Between Group Variance is given by:

,

where

g = Total number of Groups

ni = Sample Size of ith Group (i = 1, 2,...g)

= Sample Mean of ith Group (i = 1, 2,...g)

= Overall Mean

Within Group Variance (also called Error Variance) refers to variations caused by differences within individual Groups.

Within Group Variance is given by:

Total Variance measures the overall variation in the sample mean.and it is calculated by taking the squared deviation of each item from the grand mean and dividing this total by n - 1, where n is the total number of observations.

Total Variance is given by:

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