In an analysis of variance, if the within-groups variance estimate is about the

Question

In an analysis of variance, if the within-groups variance estimate is about the same as the between-groups variance estimate, then the null hypothesis should be rejected. any difference between sample means is probably due to random sampling error. an error has been made in computing the between-groups and the within-groups variance estimates. any difference between sample means is probably due to a real difference caused by experimental conditions. When sample sizes are equal, MS_within is figured by summing the population variance estimates figured within each group and dividing by the total number of participants (over all groups). summing the population variance estimates figured within each group and dividing this sum by the number of groups. multiplying the within-groups sum of squares (SS_within) by the size of each sample (n). dividing the within-groups sum of squares (SS_within) by the size of each sample (n). The results of an analysis of variance would be reported in a research article as F (44) = 3.40, significant F (2, 44)

Explanation / Answer

In an analysis of variance, if the within groups variance estimate is about the same as the between groups variance estimate then

b.any difference between sample means is probably due to random sampling error

When sample sizes are equal, MSwithin is figured by dividing the within groups sum of squares by the size of each sample (n).

The results of an analysis of variance would be reported in a research article as F(2,44) = 3.40, p<0.05

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