Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 12 - Analysis of Variance - Chapter Quiz - Page 683: 4

Answer

True

Work Step by Step

True, Tukey test does analysis of two means at a time. The Tukey HSD test is designed specifically for pairwise comparisons (comparing means two at a time). It is more powerful in this context, meaning it is more likely to detect real differences when they exist. The Scheffé test, on the other hand, is more conservative because it can handle all possible contrasts (not just pairwise). As a result, it has less power for pairwise tests. So, for pairwise comparisons, Tukey’s test is more powerful than Scheffé’s.
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