Multidimensionality and Structural Coefficient Bias in Structural Equation Modeling: A Bifactor Perspective

Educational and Psychological Measurement

Volumn 73, Issue 1, 2013, Pages 5-26

  Reise, Steven P ^a   Scheines, Richard ^b   Widaman, Keith F ^c   Haviland, Mark G ^d  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d LOMA LINDA UNIVERSITY   (United States)

Author keywords

bifactor model; fit indices; multidimensionality; structural coefficient bias

Indexed keywords

EID: 84871341861     PISSN: 00131644     EISSN: 15523888     Source Type: Journal    
DOI: 10.1177/0013164412449831     Document Type: Article

References (38)

1. Bandalos D. L.The effects of item parceling on goodness-of-fit and parameter estimate bias in structural equation modeling.Structural Equation Modeling. 2002;9:78-102.
2. Bentler P. M.EQS 6.1 Structural equations program manual. Encino, CA: Multivariate Software; 2006:.
3. Bollen K. A.Structural equations with latent variables. New York, NY: Wiley; 1989:.
4. Browne M. W.,Cudeck R.Testing structural equation models. Bollen K. A.Long J. S., ed. Newbury Park, CA: Sage; 1993:136-162.
5. Chen F. F.,Hayes A.,Carver C. S.,Laurenceau J.-P.,Zhang Z.Modeling general and specific variance in multifaceted constructs: A comparison of the bifactor model to other approaches.Journal of Personality. 2012;80:219-251.
6. Chen F. F.,West S. G.,Sousa K. H.A comparison of bifactor and second-order models of quality-of-life.Multivariate Behavioral Research. 2006;41:189-225.
7. Clark L. A.,Watson D.Constructing validity: Basic issues in objective scale development.Psychological Assessment. 1995;7:309-319.
8. Cook K. F.,Kallen M. A.Having a fit: Impact of number of items and distribution of data on traditional criteria for assessing IRT's unidimensionality assumptions.Quality of Life Research. 2009;18:447-460.
9. Drasgow F.,Parsons C. K.Application of unidimensional item response theory models to multidimensional data.Applied Psychological Measurement. 1983;7:189-199.
10. Embretson S. E.,Reise S. P.Item response theory for psychologists. Mahwah, NJ: Erlbaum; 2000:.
11. Gustafsson J. E.,Aberg-Bengtsson L.Measuring psychological constructs. Embretson S. E., ed. Washington, DC: American Psychological Association; 2010:97-121.
12. Hattie J.Methodology review: Assessing unidimensionality of tests and items.Applied Psychological Measurement. 1985;9:139-164.
13. Holzinger K. J.,Swineford R.The bifactor method.Psychometrika. 1937;2:41-54.
14. Hu L.,Bentler P. M.Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives.Structural Equation Modeling. 1999;6:1-55.
15. Ip E. H.Empirically indistinguishable multidimensional IRT and locally dependent unidimensional item response models.British Journal of Mathematical and Statistical Psychology. 2010;63:395-416.
16. Kirisci L.,Hsu T.-C.,Yu L.Robustness of item parameter estimation programs to assumptions of unidimensionality and normality.Applied Psychological Measurement. 2001;25:146-162.
17. MacCallum R. C.,Tucker L. R.Representing sources of error in the common factor model: Implications for theory and practice.Psychological Bulletin. 1991;109:502-511.
18. Meade A. W.,Kroustalis C. M.Problems with item parceling for confirmatory factor analytic tests of measurement invariance.Organizational Research Methods. 2006;9:369-403.
19. McDonald R. P.Test theory: A unified approach. Mahwah, NJ: Erlbaum; 1999:.
20. McDonald R. P.,Mok M. M. C.Goodness of fit in item response models.Multivariate Behavioral Research. 1995;30:23-40.
21. Muthén B. O.,Kaplan D.,Hollis M.On structural equation modeling with data that are not missing completely at random.Psychometrika. 1987;52:431-462.
22. Reeve B. B.,Hays R. D.,Bjorner J. B.,Cook K. F.,Crane P. K.,Teresi J. A., Cella D. Psychometric evaluation and calibration of health-related quality of life item banks: Plans for the Patient-Reported Outcomes Measurement Information System (PROMIS).Medical Care. 2007;45:S22-S31.
23. Reise S. P.The rediscovery of bifactor measurement models.Multivariate Behavioral Research.
24. Reise S. P.,Cook K. F.,Moore T. M.Handbook of applied item response theory in typical performance assessment. Reise S.Revicki D., ed. New York, NY: Taylor & Francis; in press:.
25. Reise S. P.,Moore T. M.,Haviland M. G.Bifactor models and rotations: Exploring the extent to which multidimensional data yield univocal scale scores.Journal of Personality Assessment. 2010;92:544-559.
26. Reise S. P.,Moore T. M.,Haviland M. G.APA handbook of testing and assessment in psychology. Geisinger K., ed. Washington, DC: American Psychological Association;.
27. Reise S. P.,Morizot J.,Hays R. D.The role of the bifactor model in resolving dimensionality issues in health outcomes measures.Medical Care. 2007;16:19-31.
28. Saris W. E.,Satorra A.,van der Veld W. M.Testing structural equation models or detection of misspecifications?.Structural Equation Modeling. 2009;16:561-582.
29. Schmid J.,Leiman J.The development of hierarchical factor solutions.Psychometrika. 1957;22:53-61.
30. Sterba S. K.,MacCallum R. C.Variability in parameter estimates and model fit across repeated allocations of items to parcels.Multivariate Behavioral Research. 2010;45:322-358.
31. Stout W. F.A nonparametric approach to assessing latent trait dimensionality.Psychometrika. 1987;52:589-617.
32. Ten Berge J. M. F.,Socan G.The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality.Psychometrika. 2004;69:613-625.
33. Thomas M. L.Rewards of bridging the divide between measurement and clinical theory: Demonstration of a bifactor model for the Brief Symptom Inventory.Psychological Assessment. 2012;24:101-113.
34. Wainer H.,Bradlow E.,Wang X.Testlet response theory and its applications. New York, NY: Cambridge University Press; 2007:.
35. West S. G.,Taylor A. B.,Wu W.Handbook of structural equation modeling. Hoyle R. H., ed. New York, NY: Guilford Press;.
36. Zhang J.,Stout W.The theoretical DETECT index of dimensionality and its application to approximate simple structure.Psychometrika. 1999;64:231-249.
37. Zinbarg R. E.,Revelle W.,Yovel I.,Li W.Cronbach's α, Revelle's β, and McDonald's ωH: Their relations with each other and two alternative conceptualizations of reliability.Psychometrika. 2005;70:123-133.
38. Zinbarg R. E.,Yovel I.,Revelle W.,McDonald R. P.Estimating generalizability to a latent variable common to all of a scale's indicators: A comparison of estimators for ωH.Applied Psychological Measurement. 2006;30:121-144.