Question

The ANOVA procedure will be appropriate if certain conditions hold. One of those conditions is that:

a) The sample means should be different from each other.
b) Population variances should be the same.
c) Sample variances should be different from each other.
d) Population means should be the same.

Answer 1

The correct condition for ANOVA is that population variances should be the same, which is needed to perform a valid one-way ANOVA test.

Step-by-step explanation:

One of the conditions for the appropriateness of the ANOVA procedure is that population variances should be the same. This condition is known as homogeneity of variance. ANOVA, which stands for analysis of variance, is a statistical method used to test the difference between three or more population means. This test assumes all populations are normally distributed, have equal standard deviations, and that the samples are randomly and independently selected. If any of these assumptions are not met, the results of the ANOVA may not be valid. Therefore, the correct answer is b) Population variances should be the same.