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The following is a list of papers and monographs primarily on LV Interactions; LV Quadratics have received comparatively little attention in the literature. The bibliography also selectively contains papers, etc. on measured variable (i.e., regression) interactions, including several error-in-variables regression pieces, that may be interesting. The APA citation for this material is Ping, R. (2006). "A bibliography for latent variable interactions and quadratics. http://www.wright.edu/~robert.ping/biblio.htm. |
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Aiken, L.S., and West, S.G. (1991), Algina, James and Bradley C. Moulder (2001), "A Note on Estimating the Jöreskog- Yang Model for Latent Variable Interaction Using LISREL 8.3," Allison, P.D. (1977), "Testing for Interaction in Multiple Regression," Arnold, H.J. and Evans, M.G. (1979), "Testing Multiplicative Models Does Not Require Ratio Scales," Arnold, Hugh J. (1982), "Moderator Variables: A Clarification of Conceptual, Analytic, and Psychometric Issues," Baron, R.M. and Kenny, D.A. (1986), "The Moderator-Mediator Distinction in Social Psychological Research: Conceptual, Strategic, and Statistical Considerations," Blalock, H.M., Jr. (1965), "Theory Building and the Concept of Interaction," Bobko, Philip and Craig J. Russell (1994), "On Theory, Statistics, and the Search for Interactions in the Organizational Sciences," Bohrnstedt, G. and Goldberger, A. (1969), "On the Exact Covariance of Products of Random Variables," Bohrnstedt, George W. And Gerald Marwell (1978), "The Reliability of Products of Two Random Variables," in K.F. Schuesser Ed., Bollen, Kenneth A.(1995), "Structural Equation Models That Are Nonlinear in Latent Variables: a Least Squares Estimator," Bollen, K.A. and P. Paxton (1998), "Interactions of Latent Variables in Structural Equation Models," Busemeyer, Jerome R. And Lawrence E. Jones (1983), "Analysis of Multiplicative Combination Rules When the Causal Variables Are Measured with Error," Champoux, J. E., and W. S. Peters (1987), "Form, Effect Size, and Power in Moderated Regression Analysis," Journal of Occupational Research, 60, 243-255. Chaplin, W. F. (1991), "The Next Generation of Moderator Research in Personality Research," Cohen, J., and Cohen, P. (1975), Cohen, J. (1978), "Partialed Products Are Interactions; Partialed Powers Are Curve Components," Cohen, Jacob and Patricia Cohen (1983), Cohen, Jacob, Patricia Cohen, Stephen G. West and Leona S. Aiken (2003), Cortina, J.M. (1993), "Interaction, Nonlinearity, and Multicollinearity - Implications for Multiple-regression," Cronbach, Lee J. (1987), "Statistical Tests for Moderator Variables: Flaws in Analysis Recently Proposed," Cortina, Jose M. Gilad Chen and William P. Dunlap (2001), "Testing Interaction Effects in LISREL: Examination and Illustration of Available Procedures," Organizational Research Methods, 4 (4), 324-360. Curran, P. J., S. J. West and J. F. Finch (1996), The Robustness of Test Statistics to Nonnormality and Specification Error in Confirmatory Factor Analysis," Psychological Methods, 1, 16-29. Cronbach, L. (1987), "Statistical Tests for Moderator Variables: Flaws in Analysis Recently Proposed," Psychological Bulletin, 102, 414-417. Denters, Bas and Rob A.G. Van Puijenbroek (1989), "Conditional Regression Analysis: Problems, Solutions and an Application," Dunlap, William P. and Edward R. Kemery (1987), "Failure to Detect Moderating Effects: Is Multicollinearity the Problem?" Dunlap, William P. and Edward R. Kemery (1988), "Effects of Predictor Intercorrelations and Reliabilities on Moderated Multiple Regression," Evans, M.G. (1985), "A Monte-Carlo Study of the Effects of Correlated Method Variance in Moderated Multiple Regression Analysis," Evans, M.G. (1991), "The Problem of Analyzing Multiplicative Composites: Interactions Revisited," Evans, M.G. (1991), "On the Use of Moderated Regression," Canadian Psychology, 32,116-119. Feucht, Thomas E. (1989), "Estimating Multiplicative Regression Terms in the Presence of Measurement Error," Finch, J. F., S. G. West and D. P. MacKinnon (1997), Effects of Sample Size and Nonnormality on the Estimation of Mediated Effects in Latent Variables," Friedrich, R.J. (1982), In defense of Multiplicative Terms in Multiple Regression Equations," Fuller, Wayne A. and Michael A. Hidiroglou (1978), Regression Estimation after Correcting for Attenuation," Fuller, Wayne A. (1980), "Properties of Some Estimators for the Errors-In-Variables Model," Fuller, Wayne A. (1991), "Regression Estimation in the Presence of Measurement Error, " in Ganzach, Yoav (1997), "Misleading Interaction and Curvilinear Terms," Hayduk, Leslie A. (1987), Heise, D.R. (1986), "Estimating Nonlinear Models Correcting for Measurement Error," Jaccard, James, Robert Turrisi and Choi K. Wan (1990), Jaccard, J. and Wan, C.K. (1995), "Measurement Error in the Analysis of Interaction Effects Between Continuous Predictors Using Multiple Regression - Multiple Indicator and Structural Equation Approaches," Jaccard, J. And Wan, C. K. (1996), "Lisrel Approaches to Interaction Effects in Multiple Regression," Johnson, Michael, Frank Huber, Andreas Herrmann and Christine Braustein (2000), "A new approach to Compute Interactions of Latent Variables in Structural Equation Models- Results of an Empirical Study," Jonsson, Fan Yang (1997), Jonsson, Fan Yang (1998), "Modeling Interaction and Nonlinear Effects: A Step-by-Step Lisrel Example," in Jöreskog, K.G . and Yang, F. (1996), "Nonlinear Structural Equation Models: the Kenny and Judd Model with Interaction Effects," in G. A. Marcoulides and R. E. Schumacker (Eds.), Jöreskog, K.G. (1998), "Interaction and Nonlinear Modeling: Issues and Approaches," in R.E. Schumacker and G.A. Marcoulides (eds.) Jöreskog, Karl G. (2000), "Latent Variable Scores and Their Uses," (on-line paper), http://www.ssicentral.com/lisrel/ techdocs/lvscores.pdf. Kanetkar, V., Evans, M.G., Everell, S.a., Irvine, D., and Millman, Z. (1995), "The Effect of Scale Changes on Meta-analysis of Multiplicative and Main Effects Models," Kenny, D.A., and Judd, C.M. (1984), "Estimating the Nonlinear and Interactive Effects of Latent Variables," Klein, A. G. and H. Moosbrugger (2000), "Maximum Likelihood Estimation of Latent Interaction Effects with the LMS Method," Klein, Theresa J. B. and Bruce Dunn (2000), "Analysis of Interaction Terms in Structural Equation Models: A Non-Technical Demonstration Using the Deviation Score Approach," Klein, A. G. and B. O. Muthén (2002), "Quasi Maximum Likelihood Estimation of Structural Equation Models with Multiple Interactions and Quadratic Effects," Unpublished ms., Graduate School of Education, UCLA. Lance, Charles E. (1988), "Residual Centering, Exploratory and Confirmatory Moderator Analysis, and Decomposition of Effects in Path Models Containing Interactions," LaPlante, B., S. Sabourin, L.G. Cournoyer and J. Wright (1998), "Estimating Nonlinear Effects using a Structured Means Intercept Approach," in Li, Fuzhong and Peter Harmer (1998), "Modeling Interaction Effects: A Two Stage Least Squares Example," in Li, F.Z., Harmer, P., Duncan, T.E., Duncan, S.C., Acock, A., and Boles S. (1998), "Approaches to Testing Interaction Effects Using Structural Equation Modeling Methodology," Lubin, A. (1961), "The Interpretation of Significant Interaction," Lubinski, D. And Humphreys, L.G. (1990), "Assessing Spurious Moderator Effects: Illustrated Substantively with the Hypothesized (Synergistic) Relation Between Spatial and Mathematical Ability," Marsden, Peter V. (1983), "On Interaction Effects Involving Block (Formative) Variable," Marsh, Herbert W., Zhonglin Wen and Kit-Tai Hau (2004), "Structural Equation Models of Latent Interactions: Evaluation of Alternative Estimation Strategies and Indicator Construction," Mathieu, J. E., S. I. Tannenbaum and E. Salas (1992), "Influences of Individual and Situational Characteristics on Measuring of Training Effectiveness," Maxwell, S.E. and Delaney, H.D. (1993), "Bivariate Median Splits and Spurious Statistical Significance," McClelland, G.H., and Judd, C.M. (1993), "Statistical Difficulties of Detecting Interactions and Moderator Effects," Molder, Bradley C. and James Algina (2002), "Comparison of Methods for Estimating and Testing Latent Variable Interactions," Neale, Michael C. (1998), "Modeling Interaction and Nonlinear Effects with Mx: A General Approach, in Ping, R.A. (1995), "A Parsimonious Estimating Technique for Interaction and Quadratic Latent Variables," Ping, R.A. (1996a), "Latent Variable Interaction and Quadratic Effect Estimation: A Two-Step Technique Using Structural Equation Analysis," Ping, R.A. (1996b), "Improving the Detection of Interactions in Selling and Sales Management Research," Ping, R.A. (1996c), "Latent Variable Regression: A Technique for Estimating Interaction and Quadratic Coefficients," Ping, R.A. (1996d), "Estimating Latent Variable Interactions and Quadratics: The State of This Art," Ping, R.A. (1996e), "Yes Virginia, There are Interactions," Ping, R.A. (1998), "EQS and LISREL Examples using Survey Data," in Ping, R.A. (1999), "Latent Variable Interactions: Substantive Considerations," Ping, R.A. (2000), "Probing Latent Variable Interactions and Quadratics Involving Unobserved Variables and Survey Data," Ping, R.A. (2001), "A Suggested Standard Error for Interaction Coefficients in Latent Variable Regression," Ping, R.A. (in press), "Interpreting Latent Variable Interactions," (full text available upon request). Rigdon, Edward E., Randall E. Schumacker and Werner Wothke (1998), "A Comparative Review of Interaction and Nonlinear Modeling," in Rosnow and Rosenthal (1995), "Some Things You Learn Aren't So: Cohen's Paradox, Asch's Paradigm, and the Interpretation of the Interaction," Sharma, Subhash, Richard M. Durand, and Oded Gur-Arie (1981), "Identification and Analysis of Moderator Variables," Schermelleh-Engle, Karin, Andreas Klein and Helfried Moosbrugger (1998), "Estimating Nonlinear Effects Using a Latent Moderated Structural Equations Approach," in Schumacker, Randall E. (2002), "Latent Variable Interaction Modeling," Stone, Eugene F. and John R. Hollenbeck (1984), "Some Issues Associated with the Use of Moderated Regression," Stone-Romero, Eugene F., Alliger, George M. And Herman Aguinis (1994), "Type II Error Problems in the Use of Moderated Multiple Regression for the Detection of Moderating Effects of Dichotomous Variables," Tate, Richard L. (1998), "Effect Decomposition in Interaction and Nonlinear Models," in Wall, M.M. and Y. Amemiya (2000), "Estimation for Polynomial Structural Equation Models," Wall, M. M. and Y. Amemiya (2001), "Generalized Appended Product Indicator Procedure for Nonlinear Structural Equation Analysis," Warren, Richard D., Joan Keller White and Wayne A. Fuller (1974), "An Errors-In- Variables Analysis of Managerial Role Performance," Williams, Larry J., Jeffrey R. Edwards and Robert J. Vandenberg (2003), "Recent Advances in Causal Modeling Methods for Organizational and Management Research," Wong, S.K. and Long, J.S. (1987), "Reparameterizing Nonlinear Constraints in Models with Latent Variables," (Technical Report), Pullman, WA: Washington State University. Wood, Philip K. and Darin J. Erikson (1998), "Estimating Interaction and Nonlinear Effects with SAS," in Wood, P.K. and Games, P. (1990), "Rationale, Detection, and Implications of Interactions between Independent Variables and Unmeasured Variables in Linear Models," Yang-Wallentin, Fan and Karl G. Jöreskog (2001), "Robust Standard Errors and Chi-Squares for Interaction Models," in New Developments and Techniques in Structural Equation Modeling, G. A. Marcoulides and R. E. Schumacker, eds., Mahwah, NJ: Erlbaum. |