A structural equation modeling—based latent congruence model (LCM) is developed for studying congruence in organizational research. Numerical examples are used to demonstrate that the LCM offers many advantages over the current approaches (difference scores, profile similarity indices, and polynomial regression) to studying congruence. The LCM can (a) control for measurement errors by specifying the congruence of latent variables, (b) examine measurement equivalence across the component measures, (c) examine the antecedents and consequences of both the mean (absolute level) and difference (congruence) of two component measures simultaneously, (d) study both congruence and components by decomposing the congruence measures into component measures, and (e) examine complex congruence models that include multiple congruence measures as antecedents and/or consequences.
Allison, C.W., Armstrong, S.J., & Hayes, J. (2001). The effects of cognitive style on leader-member exchange: A study of manager-subordinate dyads. Journal of Occupational and Organizational Psychology, 74, 201-220.
2.
Alwin, D.F., & Jackson, D.J. (1979). Measurement models for response errors in surveys: Issues and applications. In K. F. Schuessler (Ed.), Sociological methodology (pp. 68-119). San Francisco: Jossey-Bass.
3.
Atwater, L.E., Ostroff, C., Yammarino, F.J., & Fleenor, J.W. (1998). Self-other agreement: Does it really matter? Personnel Psychology, 51, 577-598.
4.
Atwater, L.E., & Yammarino, F.J. (1997). Self-other rating agreement: A review and model. Research in Personnel and Human Resources Management, 15, 121-174. Greenwich, CT : JAI.
5.
Bauer, T.N., & Green, S.G. (1996). Development of leader-member exchange: A longitudinal test. Academy of Management Journal, 39, 1538-1561.
6.
Bedeian, A.G., & Day, D.V. (1994). Concluding statement. Point/counterpoint. Difference scores: Rationale, formulation, and interpretation. Journal of Management, 20, 695-698.
7.
Bollen, K.A. (1989). Structural equations with latent variables. New York: John Wiley.
8.
Bollen, K.A. (1995). Structural equation models that are nonlinear in latent variables: A least squares estimator. Sociological Methodology, 25, 223-251.
9.
Bollen, K.A., & Paxton, P. (1998). Two-stage least squares estimation of interaction effects. In R. E. Schumacker & G. A. Marcoulides (Eds.), Interaction and nonlinear effects in structural equation modeling (pp. 125-154). Mahwah, NJ: Lawrence Erlbaum.
10.
Campbell, D.J., & Lee, C. (1988). Self-appraisal in performance evaluation: Development versus evaluation. Academy of Management Review, 13, 302-314.
Cheung, G.W., & Rensvold, R.B. (1999). Testing factorial invariance across groups: A reconceptualization and proposed new method. Journal of Management, 25, 1-27.
13.
Cheung, G.W., & Rensvold, R.B. (2002). Evaluating goodness-of-fit indices for testing measurement invariance. Structural Equation Modeling, 9, 233-255.
14.
Edwards, J.R. (1993). Problems with the use of profile similarity indices in the study of congruence in organizational research. Personnel Psychology, 46, 641-665.
15.
Edwards, J.R. (1994a). The study of congruence in organizational behavior research: Critique and a proposed alternative. Organizational Behavior and Human Decision Processes, 58, 51-100.
16.
Edwards, J.R. (1994b). Regression analysis as an alternative to difference scores. Journal of Management, 20, 683-689.
17.
Edwards, J.R. (1995). Alternatives to difference scores as dependent variables in the study of congruence in organizational research. Organizational Behavior and Human Decision Processes, 64, 307-324.
18.
Edwards, J.R. (2001). Ten difference score myths. Organizational Research Methods, 4, 265-287.
19.
Edwards, J.R., & Parry, M.E. (1993). On the use of polynomial regression equations as an alternative to difference scores in organizational research. Academy of Management Journal, 36, 1577-1613.
20.
Hayduk, L.A. (1987). Structural equation modeling with LISREL: Essentials and advances. Baltimore: Johns Hopkins University Press.
21.
Irving, P.G., & Meyer, J.P. (1999). On using residual difference scores in the measurement of congruence: The case of met expectations research. Personnel Psychology, 52, 85-95.
22.
Joreskog, K.G. (1998). Interaction and nonlinear modeling: Issues and approaches. In R. E. Schumacker & G. A. Marcoulides (Eds.), Interaction and nonlinear effects in structural equation modeling (pp. 239-250). Mahwah, NJ: Lawrence Erlbaum.
23.
Joreskog, K.G. (2000). Latent variable scores and their uses. Chicago: Scientific Software International.
24.
Joreskog, K.G., & Yang, F. (1996). Nonlinear structural equation models: The Kenny-Judd model with interaction effects. In G. A. Marcoulides & R. E. Schumacker (Eds.), Advanced structural equation modeling: Issues and techniques (chapter 3). Mahwah, NJ: Lawrence Erlbaum.
25.
Judge, T.A., & Ferris, G.R. (1992). The elusive criterion of fit in human resource staff decisions. Human Resource Planning, 15, 47-67.
26.
Kenny, D.A., & Judd, C.M. (1984). Estimating the nonlinear and interacting effects of latent variables. Psychological Bulletin, 96, 201-210.
27.
Lambert, L.S., Edwards, J.R., & Cable, D.M. (2003). Breach and fulfillment of the psychological contract: A comparison of traditional and expanded views. Personnel Psychology, 56, 895-934.
28.
Locke, E.A. (1976). The nature and causes of job satisfaction. In M. Dunnette (Ed.), Handbook of industrial and organizational psychology (pp. 1297-1350). Chicago: Rand McNally.
29.
Loehlin, J.C. (1992). Latent variable models: An introduction to factor, path, and structural analysis (2nd ed.). Hillsdale, NJ: Lawrence Erlbaum.
30.
Meir, E.I., & Melamed, S. (2005). Occupational specialty congruence: New data and future directions. Journal of Vocational Behavior, 67, 21-34.
31.
Neale, M.C. (1998). Modeling interaction and nonlinear effects with Mx: A general approach. In R. E. Schumacker & G. A. Marcoulides (Eds.), Interaction and nonlinear effects in structural equation modeling (chapter 3). Mahwah, NJ: Lawrence Erlbaum .
32.
Ping, R.A. (1995). A parsimonious estimating technique for interaction and quadratic latent variables. Journal of Marketing Research , 32, 336-347.
33.
Rensvold, R.B., & Cheung, G.W. (2001). Testing for metric invariance using structural equation models: Solving the standardization problem. In C. A. Schriesheim & L. L. Neider (Eds.), Equivalence in measurement (chapter 3) . Greenwich, CT: Information Age Publishing.
34.
Schminke, M., Ambrose, M., & Neubaum, D.O. (2005). The effect of leader moral development on ethical climate and employee attitudes. Organizational Behavior and Human Decision Processes, 97, 135-151.
35.
Steenkamp, J.E.M., & Baumgartner, H. (1998). Assessing measurement invariance in cross-national consumer research. Journal of Consumer Research , 25, 78-90.
36.
Thornton, G. (1980). Psychometric properties of self-appraisal and job performance. Personnel Psychology, 33, 667-685.
37.
Tinsley, H.E. (2000). The congruence myth: An analysis of the efficacy of the person-environment fit model. Journal of Vocational Behavior, 56, 147-179.
38.
Tisak, J., & Smith, C.S. (1994). Defending and extending difference score methods . Journal of Management, 20, 675-682.
39.
Tsui, A.S., & Ohlott, P. (1988). Multiple assessment of managerial effectiveness: Interrater agreement and consensus in effectiveness models. Personnel Psychology, 41, 779-803.
40.
Vandenberg, R.J., & Lance, C.E. (2000). A review and synthesis of the measurement invariance literature: Suggestions, practices, and recommendations for organizational research. Organizational Research Methods, 3, 4-69.
41.
Wood, P.K., & Erickson, D.J. (1998). Estimating interaction and nonlinear effects with SAS. In R. E. Schumacker & G. A. Marcoulides (Eds.), Interaction and nonlinear effects in structural equation modeling (chapter 5). Mahwah, NJ: Lawrence Erlbaum .
42.
Yang Jonsson, F. (1998). Modeling interaction and nonlinear effects: A step-by-step LISREL example. In R. E. Schumacker & G. A. Marcoulides (Eds.), Interaction and nonlinear effects in structural equation modeling (chapter 2). Mahwah, NJ: Lawrence Erlbaum .
43.
Zalesny, M.D., & Kirsch, M.P. (1989). The effect of similarity on performance ratings and interrater agreement. Human Relations, 42, 81-96.
