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On the relationship between item response theory and factor analysis of discretized variables

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  • Yoshio Takane
  • Jan Leeuw

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  • Yoshio Takane & Jan Leeuw, 1987. "On the relationship between item response theory and factor analysis of discretized variables," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 393-408, September.
    • Handle: RePEc:spr:psycho:v:52:y:1987:i:3:p:393-408
    DOI: 10.1007/BF02294363
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    References listed on IDEAS

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    1. Geert Soete & J. Carroll, 1983. "A maximum likelihood method for fitting the wandering vector model," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 553-566, December.
    2. David Thissen, 1982. "Marginal maximum likelihood estimation for the one-parameter logistic model," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 175-186, June.
    3. Muthen, Bengt, 1983. "Latent variable structural equation modeling with categorical data," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 43-65.
    4. Bartholomew, D. J., 1983. "Latent variable models for ordered categorical data," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 229-243.
    5. J. Carroll & Jih-Jie Chang, 1970. "Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 283-319, September.
    6. Bengt Muthén & Anders Christoffersson, 1981. "Simultaneous factor analysis of dichotomous variables in several groups," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 407-419, December.
    7. R. Darrell Bock, 1972. "Estimating item parameters and latent ability when responses are scored in two or more nominal categories," Psychometrika, Springer;The Psychometric Society, vol. 37(1), pages 29-51, March.
    8. Michael Greenacre, 2008. "Correspondence analysis of raw data," Economics Working Papers 1112, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 2009.
    9. R. Bock & Murray Aitkin, 1981. "Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 443-459, December.
    10. Peter Schönemann & Ming Wang, 1972. "An individual difference model for the multidimensional analysis of preference data," Psychometrika, Springer;The Psychometric Society, vol. 37(3), pages 275-309, September.
    11. Yoshio Takane & J. Carroll, 1981. "Nonmetric maximum likelihood multidimensional scaling from directional rankings of similarities," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 389-405, December.
    12. L. Thurstone, 1945. "The prediction of choice," Psychometrika, Springer;The Psychometric Society, vol. 10(4), pages 237-253, December.
    13. Sharon Weinberg & J. Carroll & Harvey Cohen, 1984. "Confidence regions for INDSCAL using the jackknife and bootstrap techniques," Psychometrika, Springer;The Psychometric Society, vol. 49(4), pages 475-491, December.
    14. Anders Christoffersson, 1975. "Factor analysis of dichotomized variables," Psychometrika, Springer;The Psychometric Society, vol. 40(1), pages 5-32, March.
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