Journal
JOURNAL OF APPLIED PSYCHOLOGY
Volume 91, Issue 4, Pages 917-926Publisher
AMER PSYCHOLOGICAL ASSOC
DOI: 10.1037/0021-9010.91.4.917
Keywords
moderated multiple regression; three-way interactions; slope difference test
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Researchers often use 3-way interactions in moderated multiple regression analysis to test the joint effect of 3 independent variables on a dependent variable. However, further probing of significant interaction terms varies considerably and is sometimes error prone. The authors developed a significance test for slope differences in 3-way interactions and illustrate its importance for testing psychological hypotheses. Monte Carlo simulations revealed that sample size, magnitude of the slope difference, and data reliability affected test power. Application of the test to published data yielded detection of some slope differences that were undetected by alternative probing techniques and led to changes of results and conclusions. The authors conclude by discussing the test's applicability for psychological research.
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