Effects of ignoring clustered data structure in confirmatory factor analysis of ordered polytomous items: a simulation study based on PANSS

International Journal of Methods in Psychiatric Research

Volumn 25, Issue 3, 2016, Pages 205-219

  Stochl, Jan ^a,b,c   Jones, Peter B ^a   Perez, Jesus ^a   Khandaker, Golam M ^a   Böhnke, Jan R ^b   Croudace, Tim J ^a,d  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF YORK   (United Kingdom)

^c CHARLES UNIVERSITY   (Czech Republic)

^d UNIVERSITY OF DUNDEE   (United Kingdom)

Author keywords

factor analysis; hierarchical modelling; PANSS; simulation

Indexed keywords

COMPUTER SIMULATION; FACTOR ANALYSIS; HUMAN; PSYCHOLOGICAL RATING SCALE; STATISTICAL ANALYSIS; STATISTICS AND NUMERICAL DATA;

COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; FACTOR ANALYSIS, STATISTICAL; HUMANS; PSYCHIATRIC STATUS RATING SCALES;

EID: 84932171762     PISSN: 10498931     EISSN: 15570657     Source Type: Journal    
DOI: 10.1002/mpr.1474     Document Type: Article

References (36)

1. Bentler M.P., Chou C.P. (1987) Practical issues in structural modeling. Sociological Methods & Research, 16(1), 78–117, DOI: 10.1177/0049124187016001004
2. Boker S., Neale M., Maes H., Wilde M., Spiegel M., Brick T., Spies J., Estabrook R., Kenny S., Bates T., Mehta P., Fox J. (2011) OpenMx: an open source extended structural equation modeling framework. Psychometrika, 76(2), 306–317, DOI: 10.1007/s11336-010-9200-6
3. Boomsma A., Hoyle R.H., Panter A.T. (2012) The structural equation modeling research report. In Hoyle R.H. (ed.) Handbook of Structural Equation Modeling, pp. 341–358, New York, The Guilford Press.
4. JBrowne M.W., Cudeck R. (1992) Alternative ways of assessing model fit. Sociological Methods & Research, 21(2), 230–258, DOI: 10.1177/0049124192021002005
5. De Leeuw J., Kreft G.G. (1986) Random coefficient models for multilevel analysis. Journal of Educational Statistics, 11, 57–85, DOI: 10.3102/10769986011001057
6. Fox J.P. (2005) Multilevel IRT using dichotomous and polytomous response data. British Journal of Mathematical & Statistical Psychology, 58(1), 145–172, DOI: 10.1348/000711005X38951
7. Fox J., Nie Z., Byrnes J. (2014) sem: Structural Equation Models. R package version 3.1-5. http://CRAN.R-project.org/package=sem
8. Gelman A., Hill J. (2007) Data Analysis using Regression and Multilevel/Hierarchical Models, Cambridge, Cambridge University Press.
9. Goldstein H. (2011) Multilevel Statistical Models, Chichester, John Wiley & Sons.
10. Goldstein H., Browne W.J. (2005) Multilevel factor analysis models for continuous and discrete data. In Maydeu-Olivares A., McArdle J.J. (eds) Contemporary Psychometrics: A Festschrift for Roderick P. McDonald, pp. 453–475, Mahwah, NJ, Erlbaum.
11. Grilli L., Rampichini C. (2007) Multilevel factor models for ordinal variables. Structural Equation Modeling, 14(1), 1–25, DOI: 10.1080/10705510709336734
12. Hallquist M. (2012) MplusAutomation: Automating Mplus model estimation and interpretation. R package version 0.5-3. http://CRAN.R-project.org/package=MplusAutomation
13. Hox J.J. (1993) Factor analysis of multilevel data: gauging the Muthén method. In Oud J.H.L., van Blokland-Vogelesang R.A.W. (eds) Advances in Longitudinal and Multivariate Analysis in the Behavioral Sciences, pp. 141–156, Nijmegen, ITS.
14. Jöreskog K.G. (1970) A general method for analysis of covariance structures. Biometrika, 57, 239–251, DOI: 10.2307/2334833
15. Jöreskog K.G., Sörbom, D. (1989) LISREL 7: A Guide to the Program and Applications, Chicago, IL, SPSS Publications.
16. Julian M.W. (2001) The consequences of ignoring multilevel data structures in nonhierarchical covariance modeling. Structural Equation Modeling, 8(3), 325–352, DOI: 10.1207/S15328007SEM0803_1
17. Kay S.R., Fiszbein A., Opler L.A. (1987) The Positive and Negative Syndrome Scale (PANSS) for schizophrenia. Schizophrenia Bulletin, 13(2), 261–276, DOI: 10.1093/schbul/13.2.261
18. Kay S.R., Opler L.A., Lindenmayer J.-P. (1988) Reliability and validity of the positive and negative syndrome scale for schizophrenics. Psychiatry Research, 23(1), 99–110.
19. Lindstrom E., Wieselgren I.M., von Knorring L. (1994) Interrater reliability of the Structured Clinical Interview for the Positive and Negative Syndrome Scale for schizophrenia. Acta Psychiatrica Scandinavica, 89(3), 192–195.
20. Lunn D.J., Thomas A., Best N., Spiegelhalter D. (2000) WinBUGS – a Bayesian modelling framework: concepts, structure, and extensibility. Statistics and Computing, 10, 325–337, DOI: 10.1023/a:1008929526011
21. McArdle J.J., McDonald R.P. (1984) Some algebraic properties of the Reticular Action Model for moment structures. British Journal of Mathematical & Statistical Psychology, 37, 234–251, DOI: 10.1111/j.2044-8317.1984.tb00802.x
22. McDonald R.P. (1994) The bilevel reticular action model for path analysis with latent variables. Sociological Methods & Research, 22, 399–413, DOI: 10.1177/0049124194022003007
23. McDonald R.P. (1999) Test Theory: A Unified Treatment, Mahwah, NJ, Erlbaum.
24. Muthén B. (1984) A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators. Psychometrika, 46, 115–132, DOI: 10.1007/bf02294210
25. Muthén B. (1989) Latent variable modeling in heterogeneous populations. Psychometrika, 54, 557–585, DOI: 10.1007/bf02296397
26. Muthén B. (1991) Multilevel factor analysis of class and student achievement components. Journal of Educational Measurement, 28, 338–354, DOI: 10.1111/j.1745-3984.1991.tb00363.x
27. Muthén B. (1994) Multilevel covariance structure analysis. Sociological Methods & Research, 22, 376–398, DOI: 10.1177/0049124194022003006
28. Muthén L., Muthén B. (1998–2013) Mplus: Statistical Analysis with Latent Variables (Version 7.11). Los Angeles, CA, Muthén & Muthén.
29. Muthén B., Satorra A. (1995) Complex sample data in structural equation modeling. Sociological Methodology, 25, 267–316, DOI: 10.2307/271070
30. Olsson U.H., Foss T., Troye S.V., Howell R.D. (2000) The performance of ML, GLS, and WLS estimation in structural equation modeling under conditions of misspecification and nonnormality. Structural Equation Modeling, 7(4), 557–595, DOI: 10.1207/S15328007SEM0704_3
31. Peralta V., Cuesta M.J. (1994) Psychometric properties of the Positive and Negative Syndrome Scale (PANSS) in schizophrenia. Psychiatry Research, 53(1), 31–40, DOI: 0165-1781(94)90093-0 [pii]
32. Rabe-Hesketh S., Skrondal A., Pickles A. (2004) Generalized multilevel structural equation modelling. Psychometrika, 69(2), 167–190, DOI: 10.1007/bf02295939
33. Rosseel Y. (2012) lavaan: an R package for structural equation modeling. Journal of Statistical Software, 48(2), 1–36.
34. Rouquette A., Falissard B. (2011) Sample size requirements for the internal validation of psychiatric scales. International Journal of Methods in Psychiatric Research, 20(4), 235–249, DOI: 10.1002/mpr.352
35. Stochl J., Jones P.B., Plaistow J., Reininghaus U., Priebe S., Perez J., Croudace T.J. (2014) Multilevel ordinal factor analysis of the positive and negative syndrome scale (PANSS). International Journal of Methods in Psychiatric Research, 23(1), 25–35, DOI: 10.1002/mpr.1429
36. White L., Harvey P.D., Opler L., Lindenmayer J.P. (1997) Empirical assessment of the factorial structure of clinical symptoms in schizophrenia. A multisite, multimodel evaluation of the factorial structure of the Positive and Negative Syndrome Scale. The PANSS Study Group. Psychopathology, 30(5), 263–274.