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Original Articles

Alternative approaches to structural modeling of ordinal data: A Monte Carlo study

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Pages 261-282 | Published online: 03 Nov 2009

References

  • Babakus , E. , Ferguson , C. R. and Jöreskog , K. G. 1987 . The sensitivity of confirmatory maximum likelihood factor analysis to violations of measurement scale and distributional assumptions . Journal of Marketing Research , 24 : 222 – 229 .
  • Bagozzi , R. P. 1994 . “ Structural equation models in marketing research: basic principles ” . In Principles of marketing research , Edited by: Bagozzi , R. P. 317 – 385 . Cambridge, MA : Basil Blackwell .
  • Bentler , P. M. 1989 . EQS structural equation program manual , Los Angeles : BMDP Statistical Software .
  • Bermann , G. 1993 . Estimation and inference in bivariate and multhariate ordinal PROBIT models , Sweden : University of Uppsala . Doctoral dissertation
  • Bernstein , I. H. and Teng , G. 1989 . Factoring items and factoring scales are different: spurious evidence for multidimensionality due to item categorization . Psychological Bulletin , 105 : 467 – 477 .
  • Bollen , K. A. 1989 . Structural equations with latent variables , New York : Wiley .
  • Bollen , K. A. and Barb , K. H. 1981 . Pearson's r and coarsely categorized data . American Sociological Review , 46 : 232 – 239 .
  • Coenders , G. and Saris , W. E. 1995 . “ Categorization and measurement quality. The choice between Pearson and polychoric correlations ” . In The multitrait‐multimethod approach to evaluate measurement instruments , Edited by: Saris , W. E. and Münnich , Á. 125 – 144 . Budapest, , Hungary : Eötvös University Press .
  • Dolan , C. 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 – 326 .
  • Homer , P. and O'Brien , R. M. 1988 . Using LISREL models with crude rank category measures . Quality and Quantity , 22 : 191 – 201 .
  • Johnson , D. R. and Creech , J. C. 1983 . Ordinal measures in multiple indicator models: a simulation study of categorization error . American Sociological Review , 48 : 398 – 407 .
  • Jöreskog , K. G. 1990 . New developments in LISREL. Analysis of ordinal variables using polychoric correlations and weighted least squares . Quality and Quantity , 24 : 387 – 404 .
  • Jöreskog , K. G. and Sörbom , D. 1988 . PREUS: A program for multivariate data screening and data summarization , A preprocessor for LISREL Mooresville, IN : Scientific Software .
  • Jöreskog , K. G. and Sörbom , D. 1989 . LISREL 7: A guide to the program and applications , Chicago : SPSS .
  • Jöreskog , K. G. and Sörbom , D. 1993a . New features in LISREL 8 , Chicago : Scientific Software International .
  • Jöreskog , K. G. and Sörbom , D. 1993b . New features in PREUS 2 , Chicago : Scientific Software International .
  • Maddala , G. S. 1983 . Limited dependent and qualitative variables in econometrics , Cambridge, , England : Cambridge University Press .
  • Minitab Inc. 1991 . MINITAB reference manual (Release 8., PC version) , State College, PA : Author .
  • Muthén , B. 1979 . A structural PROBIT model with latent variables . Journal of the American Statistical Association , 74 : 807 – 811 .
  • Muthén , B. 1983 . Latent variable structural equation modeling with categorical data . Journal of Econometrics , 22 : 43 – 65 .
  • Muthén , B. 1984 . A general structural equation model with dichotomous, ordered categorical and continuous latent variable indicators . Psychometrika , 43 : 241 – 250 .
  • Muthén , B. 1987 . LISCOMP. Analysis of linear structural equations with a comprehensive measurement model. Theoretical integration and user's guide , Mooresville, In : Scientific Software .
  • Muthén , B. and Satorra , A. 1995 . Technical aspects of Muthén's LISCOMP approach to estimation of latent variable relations with a comprehensive measurement model . Psychometrika , 60 : 489 – 503 .
  • O'Brien , R. M. 1985 . The relationship between ordinal measures and their underlying values: Why all the disagreement? . Quality and Quantity , 19 : 265 – 277 .
  • O'Brien , R.M. and Homer , P. 1987 . Correction for coarsely categorized measures. LISREL'spolyserial and polychoric correlations . Quality and Quantity , 21 : 349 – 360 .
  • Olsson , U. 1979a . Maximum likelihood estimation of the polychoric correlation coefficient . Psychometrika , 44 : 443 – 460 .
  • Olsson , U. 1979b . On the robustness of factor analysis against crude categorization of observations . Multivariate Behavioral Research , 14 : 485 – 500 .
  • Olsson , U. , Drasgow , F. and Dorans , N. J. 1982 . The polyserial correlation coefficient . Psychometrika , 47 : 337 – 347 .
  • Parry , C. D. H. and McArdle , J. J. 1991 . An applied comparison of methods for least‐squares factor analysis of dichotomous variables . Applied Psychological Measurement , 15 : 35 – 46 .
  • Quiroga , A. M. 1992 . Studies of the polychoric correlation and other correlation measures for ordinal variables , Sweden : University of Uppsala . Doctoral dissertation
  • SAS Institute . 1990 . CALIS and LOGISTIC procedures , (SAS Tech. Rep. P‐200) Cary, NC : SAS/STAT Software .
  • Satorra , A. 1990 . Robustness issues in structural equation modeling: a review of recent developments . Quality and Quantity , 24 : 367 – 86 .
  • Schepers , A. , Arminger , G. and Kusters , U. 1992 . “ The analysis of non‐metric endogenous variables in latent variable models: The MECOSA approach ” . In Econometric decision models: New methods of modeling and applications. Lecture notes in mathematical systems , Edited by: Gruber , P. 459 – 472 . Heidelberg, , Germany : Springer‐Verlag .

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