Additive and multiplicative effects in a fixed 2 × 2 design using ANOVA can be difficult to differentiate: Demonstration and mathematical reasons

Social Science Research

Volumn 35, Issue 1, 2006, Pages 279-294

  Landsheer, Johannes A ^a   van den Wittenboer, Godfried ^b   Maassen, Gerard H ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28844504322     PISSN: 0049089X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ssresearch.2004.10.004     Document Type: Article

References (21)

1. D.A. Belsley Conditioning diagnostics: Collinearity and weak data in regression 1991 Wiley New York
2. G.W. Bohrstedt A.S. Goldberger On the exact covariance of products of random variables Journal of the American Statistical Association 64 1969 1439-1442
3. J. Cohen Multiple regression as a general data-analytic system Psychological Bulletin 70 1968 426-443
4. J. Cohen Partialled products are interactions; partialled powers are curve components Psychological Bulletin 85 1978 858-866
5. J. Cohen P. Cohen Applied Multiple Regression/Correlation Analyses for the Behavioral Sciences second ed. 1983 Erlbaum Hillsdale, NJ
6. W.P. Dunlap E.R. Kemery Failure to detect moderating effects: Is multicollinearity the problem? Psychological Bulletin 102 1987 418-420
7. R.A. Fisher The Design of Experiments 1935 Oliver and Boyd Edinburgh
8. L.A. Hayduk T.H. Wonnacut "Effect equations" or "effect coefficients": A note on the visual and verbal presentation of multiple regression interactions Canadian Journal of Sociology 54 1980 399-404
9. W.L. Hays Statistics for the Social Sciences second ed. 1973 Holt, Rinehart and Winston New York
10. J. Jaccard Interaction Effects in Factorial Analysis of Variance 1998 Sage Publications Thousand Oaks
11. J. Jaccard V. Guilamo-Ramos Analysis of variance frameworks in clinical child and adolescent psychology: Issues and recommendations Journal of Clinical Child and Adolescent Psychology 31 2002 130-146
12. J. Jaccard C.K. Wan Measurement error in the analysis of interaction effects between continuous predictors using multiple regression: multiple indicator and structural equation approaches Psychological Bulletin 117 1995 348-357
13. G.H. McClelland C.M. Judd Statistical difficulties of detecting interactions and moderator effects Psychological Bulletin 114 1993 376-390
14. E.J. Pedhazur Multiple Regression in Behavioral Research third ed. 1997 Harcourt Brace Fort Worth
15. R.L. Rosnow R. Rosenthal Some things you learn aren't so: Cohen's Paradox, Asch's Paradigm, and the interpretation of interaction Psychological Science 6 1995 3-9
16. P.R. Sackett M.L. Gruys J.E. Ellinson Ability-personality interactions when predicting job performance Journal of Applied Psychology 83 1998 545-556
17. D.R. Saunders Moderator variables in prediction Educational and Psychological Measurement 16 1956 209-222
18. S.H. Searle Linear Models for Unbalanced Data 1987 Wiley New York
19. V.H. Vroom Work and Motivation 1964 Wiley New York
20. D. Wahlsten Insensitivity of the analysis of variance to heredity-environment interaction Behavioral and Brain Sciences 13 1990 109-161
21. D. Wahlsten Sample size to detect a planned contrast and a one degree-of-freedom interaction effect Psychological Bulletin 110 1991 587-595