Question

To apply the F test for ANOVA, the population standard deviations for all treatment levels must be the same.

true or false and explain

Answer 1

For applying the F test for Analysis of Variance

one of the assumptions is that we assume that the populations having equal variances.

It is also assumed that the drawn random samples are from the normal population.

This is because we use the F test in ANOVA for testing the equality of the population variances.

For testing the variances we set up the null hypothesis(which is also known as the hypothesis of no difference) having no differences that are drawn random samples are from the populations having equal variances.

Hence, the given statement is true.

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