RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

ANALYSIS OF VARIANCE

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Only the Scheffe’ test can be used after the analysis of variance has been completed to make pairwise comparisons between means when groups have the same sample size.
A
True
B
False, only the Tukey test can be used
C
False, both the Tuley and Scheffe’ test can be used
D
False, neither the Tukey nor the Scheffe’ test can be used
Explanation: 

Detailed explanation-1: -The Scheffe post-hoc test should be used when you would like to make all possible contrasts between group means. This test allows you to compare more than just two means at once, unlike the Tukey post-hoc test. For example, suppose we have four groups – A, B, C, D.

Detailed explanation-2: -The Scheffe procedure allows for a comparison of all possible paired comparisons (e.g., M1 vs. M2) and complex comparisons between combined means (e.g., (M1 + M2)/2 vs. (M3 + M4)/2 ). The Tukey HSD (honestly significant difference) procedure only allows for a comparison of the possible pairs of means.

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