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Two small separate between-subjects design experiments were performed and their means are given in the tables below. Note that by coincidence these are identical between experiments. However, when statistical tests were performed (single factor between- subjects ANOVA) it was found that one pair of differences was significant but not the other. Mean Experiment 1 Significance Level A1 Level A2 (ANOVA) 20 15 p> .05 NS Mean Experiment 2 Level A1 Level A2 20 15 Significance (ANOVA) p<.05 sig Briefly suggest and comment upon the possible reasons why, for a between- subjects design, identical pairs of means can have a significant difference in one instance, but a non-significant difference in another. Relate these suggestions to the two experiments shown here. Assume that the statistical tests were performed correctly.

Two small separate between-subjects design experiments were performed and their means are given in the tables below. Note that by coincidence these are identical between experiments. However, when statistical tests were performed (single factor between- subjects ANOVA) it was found that one pair of differences was significant but not the other. Mean Experiment 1 Significance Level A1 Level A2 (ANOVA) 20 15 p> .05 NS Mean Experiment 2 Level A1 Level A2 20 15 Significance (ANOVA) p<.05 sig Briefly suggest and comment upon the possible reasons why, for a between- subjects design, identical pairs of means can have a significant difference in one instance, but a non-significant difference in another. Relate these suggestions to the two experiments shown here. Assume that the statistical tests were performed correctly.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Two small separate between-subjects design experiments were performed and their means are given in the tables below. Note that by coincidence these are identical between experiments. However, when statistical tests were performed (single factor between- subjects ANOVA) it was found that one pair of differences was significant but not the other. Mean Experiment 1 Level A1 Level A2 20 15 Significance (ANOVA) p> .05 NS Mean Experiment 2 Level A1 Level A2 20 15 Significance (ANOVA) p<.05 sig Briefly suggest and comment upon the possible reasons why, for a between- subjects design, identical pairs of means can have a significant difference in one instance, but a non-significant difference in another. Relate these suggestions to the two experiments shown here. Assume that the statistical tests were performed correctly.
Transcribed Image Text:Two small separate between-subjects design experiments were performed and their means are given in the tables below. Note that by coincidence these are identical between experiments. However, when statistical tests were performed (single factor between- subjects ANOVA) it was found that one pair of differences was significant but not the other. Mean Experiment 1 Level A1 Level A2 20 15 Significance (ANOVA) p> .05 NS Mean Experiment 2 Level A1 Level A2 20 15 Significance (ANOVA) p<.05 sig Briefly suggest and comment upon the possible reasons why, for a between- subjects design, identical pairs of means can have a significant difference in one instance, but a non-significant difference in another. Relate these suggestions to the two experiments shown here. Assume that the statistical tests were performed correctly.
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