A latent variable model for ordinal variables

Applied Psychological Measurement

Volumn 24, Issue 3, 2000, Pages 211-223

  Moustaki, Irini ^a  

^a LONDON SCHOOL OF ECONOMICS   (United Kingdom)

Author keywords

Full information maximum likelihood estimation; Generalized latent variable model; Ordinal items; Proportional odds model

Indexed keywords

EID: 0034336365     PISSN: 01466216     EISSN: None     Source Type: Journal    
DOI: 10.1177/01466210022031679     Document Type: Article

References (28)

1. Arminger, G., & Küsters, U. (1988). Latent trait models with indicators of mixed measurement level. In R. Langeheine and J. Rost (Eds.), Latent trait and latent class models. New York: Plenum.
2. Arminger, G., & Küsters, U. (1989). Construction principles for latent trait models. In C. Clogg (Ed.), Sociological methodology (Vol. 19, pp. 369-393). Washington DC: American Sociological Association.
3. Bartholomew, D. J. (1980). Factor analysis for categorical data. Journal of the Royal Statistical Society, Series B, 42, 293-321.
4. Bartholomew, D. J. (1981). Posterior analysis of the factor model. British Journal of Mathematical and Statistical Psychology, 34, 93-99.
5. Bartholomew, D. J. (1983). Latent variable models for ordered categorical data. Journal of Econometrics, 22, 229-243.
6. Bartholomew, D. J. (1984a). The foundations of factor analysis. Biometrika, 71, 221-232.
7. Bartholomew, D. J. (1984b). Scaling binary data using a factor model. Journal of the Royal Statistical Society, Series B, 46, 120-123.
8. Bartholomew, D. J. (1988). The sensitivity of latent trait analysis to choice of prior distribution. British Journal of Mathematical and Statistical Psychology, 41, 101-107.
9. Bartholomew, D. J., & Knott, M. (1999). Latent variable models and factor analysis (2nd ed.). London: Griffin.
10. Bartholomew, D. J., & Tzamourani, P. (1999). The goodness-of-fit of latent trait models in attitude measurement. Sociological Methods and Research, 27, 525-546.
11. Bock, R. D., & Aitkin, M. (1981). Marginal maximum likelihood estimation of item parameters: Application of EM algorithm. Psychometrika, 46, 443-459.
12. Collett, D. (1991). Modelling binary data. New York: Chapman and Hall.
13. Jöreskog, K. G. (1994). On the estimation of polychoric correlations and their asymptotic covariance matrix. Psychometrika, 59, 381-389.
14. Lancaster, H. (1954). Traces and cumulants of quadratic forms in normal variables. Journal of the Royal Statistical Society, Series B, 16, 247-254.
15. Lee, S.-Y., Poon, W.-Y., & Bentler, P. (1992). Structural equation models with continuous and polytomous variables. Psychometrika, 57, 89-105.
16. Lee, S.-Y., Poon, W.-Y., & Bentler, P. (1995). A two-stage estimation of structural equation models with continuous and polytomous variables. British Journal of Mathematical and Statistical Psychology, 48, 339-358.
17. McCullagh, P. (1980). Regression models for ordinal data. Journal of the Royal Statistical Society, Series B, 42, 109-142.
18. Moustaki, I. (1996). A latent trait and a latent class model for mixed observed variables. British Journal of Mathematical and Statistical Psychology, 49, 313-334.
19. Moustaki, I. (1999). LATENT: A computer program for fitting a one- or two-factor latent variable model to binary, nominal, ordinal, normal, gamma and mixed observed items with missing values [Technical Report]. London: London School of Economics and Political Science, Statistics Department.
20. Muraki, E. (1990). Fitting a polytomous item response model to Likert-type data. Applied Psychological Measurement, 14, 59-71.
21. Muraki, E., & Carlson, E. (1995). Full-information factor analysis for polytomous item responses. Applied Psychological Measurement, 19, 73-90.
22. Muthén, B. (1984). A general structural equation model with dichotomous, ordered categorical and continuous latent variables indicators. Psychometrika, 49, 115-132.
23. Samejima, F. (1969). Estimation of latent ability using a response pattern of graded scores. Psychometrika Monograph Supplement, 17.
24. Shi, J.-Q., & Lee, S.-Y. (1997). Estimation of factor scores with polytomous data by the EM algorithm. British Journal of Mathematical and Statistical Psychology, 50, 215-226.
25. Stroud, A., & Secrest, D. (1966). Gaussian quadrature formulas. Englewood Cliffs NJ: Prentice-Hall.
26. Takane, Y. (1996). An item response model for multi-dimensional analysis of multiple-choice data. Behaviormetrika, 23, 153-167.
27. Takane, Y. (1998). Choice model analysis of the "pick any/n" type of binary data. Japanese Psychological Research, 40, 31-39.
28. Takane, Y., & De Leeuw, J. (1987). On the relationship between item response theory and factor analysis of discretized variables. Psychometrika, 52, 393-408.