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Form, effect size and power in moderated regression analysis
Author(s) -
CHAMPOUX JOSEPH E.,
PETERS WILLIAM S.
Publication year - 1987
Publication title -
journal of occupational psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.257
H-Index - 114
eISSN - 2044-8325
pISSN - 0305-8107
DOI - 10.1111/j.2044-8325.1987.tb00257.x
Subject(s) - moderation , measure (data warehouse) , psychology , statistics , regression analysis , sample size determination , regression , statistical significance , linear regression , econometrics , meta regression , meta analysis , mathematics , social psychology , computer science , data mining , medicine
This paper presents the results of a simulation study designed to show how a moderator variable affects the form of the relationship between two other variables. Particular attention is paid to the relationship of the strength of a moderator to statistical significance and the magnitude of the increment in R 2 associated with the moderator. The increment in R 2 is viewed as an incomplete measure of the strength of moderator effects. We propose a standardized measure of the strength of moderator effects based on the rate of change in the slope of the regression surface. The relation of sample size and statistical power to this measure is investigated.