The analysis and identification of homologizer/moderator variables when the moderator is continuous: An illustration with anthropometric data

Human biological data often contain homologizers, that is, variables which moderate the strength rather than the form of the relationship between two other variables. Current methods for the identification and analysis of continuous homologizer variables [Z] (variables which moderate the strength rather than the form of a relationship between other variables [X,Y]) recommend dividing the sample into subgroups on the basis of the homologizer variable (Z) and testing whether correlations (X,Y) are significantly different among subgroups. We propose an alternative strategy which avoids the use of subgroups and which offers greater power to detect homologizer effects. In addition, it allows the identification of homologizer effects in data sets where multiplicative as well as additive terms are included in the model. The proposed strategy is validated through Monte Carlo simulations and an example of its application to a set of anthropometric data is given. © 1992 Wiley‐Liss, Inc.

[1]  Subhash Sharma,et al.  Identification and Analysis of Moderator Variables , 1981 .

[2]  Jacob Cohen,et al.  Applied multiple regression/correlation analysis for the behavioral sciences , 1979 .

[3]  H. Blalock THEORY BUILDING AND THE STATISTICAL CONCEPT OF INTERACTION. , 1965, American sociological review.

[4]  S. West,et al.  Multiple Regression: Testing and Interpreting Interactions. , 1994 .

[5]  H. Veiel Base-rates, cut-points and interaction effects: the problem with dichotomized continuous variables , 1988, Psychological Medicine.

[6]  D. Kleinbaum,et al.  Applied Regression Analysis and Other Multivariate Methods , 1978 .

[7]  L. Humphreys,et al.  Pseudo-Orthogonal and Other Analysis of Variance Designs Involving Individual-Differences Variables. , 1974 .

[8]  Lloyd G. Humphreys,et al.  Doing Research the Hard Way: Substituting Analysis of Variance for a Problem in Correlational Analysis. , 1978 .

[9]  L. H. Peters,et al.  Identifying Moderator Variables Using Multiple Regression: A Reply to Darrow and Kahl , 1984 .

[10]  Second Edition,et al.  Statistical Package for the Social Sciences , 1970 .

[11]  Edwin E. Ghiselli,et al.  The Prediction of Predictability , 1960 .

[12]  S. Heymsfield,et al.  Dual photon absorptiometry: validation of mineral and fat measurements. , 1990, Basic life sciences.

[13]  REM sleep facilitation of adaptive waking behavior: a review of the literature. , 1978 .

[14]  R. Prescott,et al.  Biostatistics in medicine , 1983 .

[15]  Jacob Cohen The Cost of Dichotomization , 1983 .

[16]  P. Allison Testing for Interaction in Multiple Regression , 1977, American Journal of Sociology.

[17]  L. Penner,et al.  MODERATOR VARIABLES AND DIFFERENT TYPES OF PREDICTABILITY: DO YOU HAVE A MATCH? , 1985 .

[18]  D. A. Kenny,et al.  The moderator-mediator variable distinction in social psychological research: conceptual, strategic, and statistical considerations. , 1986, Journal of personality and social psychology.

[19]  S. Zedeck Problems with the use of "moderator" variables. , 1971 .

[20]  John P. Campbell,et al.  Measurement Theory for the Behavioral Sciences. , 1983 .

[21]  Edwin E. Ghiselli,et al.  Moderating effects and differential reliability and validity. , 1963 .

[22]  J. Jaccard,et al.  Interaction effects in multiple regression , 1992 .

[23]  E. Ghiselli Differentiation of individuals in terms of their predictability. , 1956 .

[24]  R. Gibson Principles of Nutritional Assessment , 1990 .

[25]  K. E. Southwood Substantive Theory and Statistical Interaction: Five Models , 1978, American Journal of Sociology.

[26]  H. J. Arnold,et al.  Testing moderator variable hypotheses: A reply to stone and hollenbeck , 1984 .

[27]  R McGill,et al.  Graphical Perception and Graphical Methods for Analyzing Scientific Data , 1985, Science.

[28]  R. Kessler,et al.  The estimation and interpretation of modifier effects. , 1982, Journal of health and social behavior.

[29]  Jacob Cohen Partialed products are interactions; partialed powers are curve components. , 1978 .

[30]  Lloyd G. Humphreys,et al.  Research on individual differences requires correlational analysis, not ANOVA , 1978 .

[31]  O. Miettinen,et al.  Confounding and effect-modification. , 1974, American journal of epidemiology.