Robustness studies in covariance structure modeling an overview and a meta-analysis

Sociological Methods and Research

Volumn 26, Issue 3, 1998, Pages 329-367

  Hoogland, Jeffrey J ^a   Boomsma, Anne ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032330969     PISSN: 00491241     EISSN: None     Source Type: Journal    
DOI: 10.1177/0049124198026003003     Document Type: Article

References (56)

1. Anderson, James C. and David W. Gerbing. 1984. "The Effect of Sampling Error on Convergence, Improper Solutions, and Goodness-of-Fit Indices for Maximum Likelihood Confirmatory Factor Analysis." Psychometrika 49:155-73.
2. Babakus, Emin, Carl E. Ferguson, and Karl G. Jöreskog. 1987. "The Sensitivity of Confirmatory Maximum Likelihood Factor Analysis to Violations of Measurement Scale and Distributional Assumptions." Journal of Marketing Research 24:222-28.
3. Baldwin, Beatrice O. 1986. "The Effects of Structural Model Misspecification and Sample Size on the Robustness of LISREL Maximum Likelihood Parameter Estimates." Ph.D. dissertation, Lousiana State University.
4. Bearden, William O., Subhash Sharma, and Jesse E. Teel. 1982. "Sample Size Effects on Chi-Square and Other Statistics Used in Evaluating Causal Models." Journal of Marketing Research 19:425-30.
5. Benson, Jeri and John A. Fleishman. 1994. "The Robustness of Maximum Likelihood and Distribution-Free Estimators to Non-Normality in Confirmatory Factor Analysis." Quality and Quantity 28:117-36.
6. Bentler, Peter M. 1995. EQS Structural Equations Program Manual. Encino, CA: Multivariate Software.
7. Bentler, Peter M. and Paul Dudgeon. 1996. "Covariance Structure Analysis: Statistical Practice, Theory, and Directions." Annual Review of Psychology 47:563-92.
8. Bentler, Peter M. and David G. Weeks. 1980. "Linear Structural Equations With Latent Variables." Psychometrika 45:289-308.
9. Bollen, Kenneth A. 1989. Structural Equations With Latent Variables. New York: John Wiley.
10. _. 1995. "Models That Are Nonlinear in Latent Variables: A Least Squares Estimator." Sociological Methodology 25:223-51.
11. _. 1996. "An Alternative Two Stage Least Squares (2SLS) Estimator for Latent Variable Equations." Psychometrika 61:109-21.
12. Boomsma, Anne. 1983. "On the Robustness of LISREL (Maximum Likelihood Estimation) Against Small Sample Size and Non-Normality." Ph.D. dissertation, Sociometric Research Foundation, Rijksuniversiteit Groningen, Amsterdam.
13. Box, George E. P. 1953. "Non-Normality and Tests on Variances." Biometrika 40:318-35.
14. Brown, Richard L. 1990. "The Robustness of 2SLS Estimation of a Non-Normally Distributed Confirmatory Factor Analysis Model." Multivariate Behavioral Research 25:455-66.
15. Browne, Michael W. 1974. "Generalized Least-Squares Estimators in the Analysis of Covariance Structures." South African Statistical Journal 8:1-24.
16. _. 1982. "Covariance Structures." Pp. 72-141 in Topics in Multivariate Analysis, edited by D. M. Hawkins. Cambridge: Cambridge University Press.
17. _. 1984. "Asymptotically Distribution-Free Methods for the Analysis of Covariance Structures." British Journal of Mathematical and Statistical Psychology 37:62-83.
18. Browne, Michael W., Gerhard Mels, and Mark Coward. 1994. "Path Analysis: RAMONA." Pp. 163-224 in SYSTAT for DOS: Advanced Applications. Evanston, IL: Systat.
19. Chou, Chih-Ping, Peter M. Bentler, and Albert Satorra. 1991. "Scaled Test Statistics and Robust Standard Errors for Non-Normal Data in Covariance Structure Analysis: A Monte Carlo Study." British Journal of Mathematical and Statistical Psychology 44:347-57.
20. Cudeck, Robert. 1989. "Analysis of Correlation Matrices Using Covariance Structure Models." Psychological Bulletin 105:317-27.
21. Curran, Patrick J., Stephen G. West, and John F. Finch. 1996. "The Robustness of Test Statistics to Nonnormality and Specification Error in Confirmatory Factor Analysis." Psychological Methods 1:16-29.
22. Dolan, Conar V. 1994. "Factor Analysis of Variables with 2, 3, 5 and 7 Response Categories: A Comparison of Categorical Variable Estimators Using Simulated Data." British Journal of Mathematical and Statistical Psychology 47:309-26.
23. Ethington, Corinna A. 1987. "The Robustness of LISREL Estimates in Structural Equation Models With Categorical Variables." Journal of Experimental Education 55:80-88.
24. Gallini, Joan and Garrett K. Mandeville. 1984. "An Investigation of the Effect of Sample Size and Specification Error on the Fit of Structural Equation Models." Journal of Experimental Education 51:9-19.
25. Gerbing, David W. and James C. Anderson. 1985. "The Effects of Sampling Error and Model Characteristics on Parameter Estimation for Maximum Likelihood Confirmatory Factor Analysis." Multivariate Behavioral Research 20:255-71.
26. Harlow, Lisa L. 1985. "Behaviour of Some Elliptical Theory Estimators With Nonnormal Data in a Covariance Structures Framework: A Monte Carlo Study." Ph.D. dissertation, University of California, Los Angeles.
27. Harlow, Lisa L., Chih-Ping Chou, and Peter M. Bentler. 1986. "Performance of Chi-Square Statistic With ML, ADF, and Elliptical Estimators." Presented at the Psychometric Society meeting, Toronto, Canada, June.
28. Hayduk, Leslie A. 1996. LISREL Issues, Debates, and Strategies. Baltimore, MD: Johns Hopkins University Press.
29. Henly, Susan J. 1993. "Robustness of Some Estimators for the Analysis of Covariance Structures." British Journal of Mathematical and Statistical Psychology 46:313-38.
30. Herting, Jerald R. and Herbert L. Costner. 1985. "Respecification in Multiple Indicator Models." Pp. 321-93 in Causal Models in the Social Sciences, edited by H. M. Blalock. New York: Aldine.
31. Hu, Li-Tze, Peter M. Bentler, and Yutaka Kano. 1992. "Can Test Statistics in Covariance Structure Analysis Be Trusted?" Psychological Bulletin 112:351-62.
32. Jaccard, James and Choi K. Wan. 1995. "Measurement Error in the Analysis of Interaction Effects Between Continuous Predictors Using Multiple Regression: Multiple Indicator and Structural Equation Approaches." Psychological Bulletin 117:348-57.
33. Jöreskog, Karl G. 1973. "A General Method for Estimating a Linear Structural Equation System." Pp. 85-112 in Structural Equation Models in the Social Sciences, edited by A. S Goldberger and O. D. Duncan. New York: Seminar.
34. _. 1993. "Testing Structural Equation Models." Pp. 294-316 in Testing Structural Equation Models, edited by K. A. Bollen and J. S. Long. Newbury Park, CA: Sage.
35. Jöreskog, Karl G. and Fan Yang. 1996. "Nonlinear Structural Equation Models: The Kenny-Judd Model with Interaction Effects." Pp. 57-88 in Advanced Structural Equation Modeling: Issues and Techniques, edited by G. A. Marcoulides and R. E. Schumacker. Mahwah, NJ: Erlbaum.
36. Kaplan, David. 1989. "A Study of the Sampling Variability and Z-Values of Parameter Estimates from Misspecified Structural Equation Models." Multivariate Behavioral Research 24:41-57.
37. Kenny, David A. and Charles M. Judd. 1984. "Estimating the Non-Linear and Interactive Effects of Latent Variables." Psychological Bulletin 96:201-10.
38. Klein, Andreas, Helfried Moosbrugger, Karin Schermelleh-Engel, and Dirk Frank. 1997. "A New Approach to the Estimation of Latent Interaction Effects in Structural Equation Models." Pp. 479-86 in Advances in Statistical Software 6, edited by W. Bandilla and F. Faulbaum. Stuttgart: Lucius & Lucius.
39. Lance, Charles E., John M. Cornwell, and Stanley A. Mulaik. 1988. "Limited Information Parameter Estimates for Latent or Mixed Manifest and Latent Variable Models." Multivariate Behavioral Research 23:171-87.
40. Lee, Sik-Yum, Wai-Yin Poon, and Peter M. Bentler. 1995. "A Two-Stage Estimation of Structural Equation Models With Continuous and Polytomous Variables." British Journal of Mathematical and Statistical Psychology 48:339-58.
41. Meijer, Erik and Ab Mooijaart. 1992. "Factor Analysis Estimation Methods Compared Under Nonnormality Through a Monte-Carlo Study." Leiden Psychological Reports PRM 01-92.
42. Meijerink, Frits. 1995. A Nonlinear Structural Equations Model. Leiden: DSWO Press.
43. Muthén, Bengt and David Kaplan. 1985. "A Comparison of Some Methodologies for the Factor Analysis of Non-Normal Likert Variables." British Journal of Mathematical and Statistical Psychology 38:171-89.
44. _. 1992. "A Comparison of Some Methodologies for the Factor Analysis of Non-Normal Likert Variables: A Note on the Size of the Model." British Journal of Mathematical and Statistical Psychology 45:19-30.
45. Olsson, Ulf. 1979. "On the Robustness of Factor Analysis Against Crude Classification of the Observations." Multivariate Behavioral Research 14:485-500.
46. Ping, Robert A. 1995. "A Parsimonious Estimating Technique for Interaction and Quadratic Latent Variables." Journal of Marketing Research 32:336-47.
47. Potthast, Margaret J. 1993. "Confirmatory Factor Analysis of Ordered Categorical Variables With Large Models." British Journal of Mathematical and Statistical Psychology 46:273-86.
48. Reddy, Srinivas K. 1992. "Effects of Ignoring Correlated Measurement Error in Structural Equation Models." Educational and Psychological Measurement 52:549-70.
49. Sachs, Lothar. 1974. Angewandte Statistik (Applied Statistics). Berlin: Springer-Verlag.
50. Satorra, Albert and Peter M. Bentler. 1988. "Scaling Corrections for Statistics in Covariance Structure Analysis." UCLA Statistics Series 2.
51. Sharma, Subhash, Srinivas Durvasula, and William R. Dillon. 1989. "Some Results on the Behavior of Alternate Covariance Structure Estimation Procedures in the Presence of Non-Normal Data." Journal of Marketing Research 26:214-21.
52. Steiger, James H. 1995. "SEPATH." Pp. 283-487 in STATISTICA 5.0. Tulsa, OK: Statsoft.
53. Tanaka, Jeffrey S. 1984. "Some Results on the Estimation of Covariance Structure Models." Ph.D. dissertation, University of California, Los Angeles.
54. Vale, C. David and Vincent A. Maurelli. 1983. "Simulating Multivariate Nonnormal Distributions." Psychometrika 48:465-71.
55. Yang, Fan. 1997. "Non-Linear Structural Equation Models: Simulation Studies of the Kenny-Judd Model." Ph.D. dissertation, University of Uppsala.
56. Yung, Yiu-Fai and Peter M. Bentler. 1994. "Bootstrap-Corrected ADF Test Statistics in Covariance Structure Analysis." British Journal of Mathematical and Statistical Psychology 47:63-84.