i. The statistical technique used to test the equality of three or more population means is called analysis of variance (ANOVA). ii. To employ ANOVA, the populations need not have equal standard deviations.
iii. To employ ANOVA, the populations being studied must be approximately normally distributed.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

Analysis of Variance (ANOVA) is indeed used to compare the means of three or more groups, making statement (i) correct. For ANOVA to be valid, the assumption of homogeneity of variances (equal variances) is important, which makes statement (ii) incorrect. Additionally, ANOVA assumes that the populations are approximately normally distributed, especially as the sample size increases, making statement (iii) correct.

I the Statistical Technique Used to Test the Equality of Three