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Testing the assumptions underlying tetrachoric correlations

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  • Bengt Muthén
  • Charles Hofacker

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  • Bengt Muthén & Charles Hofacker, 1988. "Testing the assumptions underlying tetrachoric correlations," Psychometrika, Springer;The Psychometric Society, vol. 53(4), pages 563-577, December.
    • Handle: RePEc:spr:psycho:v:53:y:1988:i:4:p:563-577
    DOI: 10.1007/BF02294408
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    References listed on IDEAS

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    1. David Kirk, 1973. "On the numerical approximation of the bivariate normal (tetrachoric) correlation coefficient," Psychometrika, Springer;The Psychometric Society, vol. 38(2), pages 259-268, June.
    2. 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.
    3. D. Divgi, 1979. "Calculation of the tetrachoric correlation coefficient," Psychometrika, Springer;The Psychometric Society, vol. 44(2), pages 169-172, June.
    4. Morton Brown & Jacqueline Benedetti, 1977. "On the mean and variance of the tetrachoric correlation coefficient," Psychometrika, Springer;The Psychometric Society, vol. 42(3), pages 347-355, September.
    5. 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.
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    Cited by:

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    2. Matthew S. Johnson & Sandip Sinharay, 2020. "The Reliability of the Posterior Probability of Skill Attainment in Diagnostic Classification Models," Journal of Educational and Behavioral Statistics, , vol. 45(1), pages 5-31, February.
    3. Ting Dai & Adam Davey, 2023. "Determining Dimensionality with Dichotomous Variables: A Monte Carlo Simulation Study and Applications to Missing Data in Longitudinal Research," Mathematics, MDPI, vol. 11(6), pages 1-25, March.
    4. Farrell, Susan & Manning, Willard G. & Finch, Michael D., 2003. "Alcohol dependence and the price of alcoholic beverages," Journal of Health Economics, Elsevier, vol. 22(1), pages 117-147, January.
    5. Albert Maydeu-Olivares, 2006. "Limited information estimation and testing of discretized multivariate normal structural models," Psychometrika, Springer;The Psychometric Society, vol. 71(1), pages 57-77, March.
    6. Steffen Grønneberg & Jonas Moss & Njål Foldnes, 2020. "Partial Identification of Latent Correlations with Binary Data," Psychometrika, Springer;The Psychometric Society, vol. 85(4), pages 1028-1051, December.
    7. Dylan Molenaar & Conor Dolan & Paul Boeck, 2012. "The Heteroscedastic Graded Response Model with a Skewed Latent Trait: Testing Statistical and Substantive Hypotheses Related to Skewed Item Category Functions," Psychometrika, Springer;The Psychometric Society, vol. 77(3), pages 455-478, July.

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