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Tail-measurability in monotone latent variable models

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  • Jules Ellis
  • Brian Junker

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  • Jules Ellis & Brian Junker, 1997. "Tail-measurability in monotone latent variable models," Psychometrika, Springer;The Psychometric Society, vol. 62(4), pages 495-523, December.
    • Handle: RePEc:spr:psycho:v:62:y:1997:i:4:p:495-523
    DOI: 10.1007/BF02294640
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    References listed on IDEAS

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    1. David Andrich, 1978. "A rating formulation for ordered response categories," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 561-573, December.
    2. Gerhard Fischer, 1987. "Applying the principles of specific objectivity and of generalizability to the measurement of change," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 565-587, December.
    3. Louis Guttman, 1945. "A basis for analyzing test-retest reliability," Psychometrika, Springer;The Psychometric Society, vol. 10(4), pages 255-282, December.
    4. Stanley Mulaik & Roderick McDonald, 1978. "The effect of additional variables on factor indeterminacy in models with a single common factor," Psychometrika, Springer;The Psychometric Society, vol. 43(2), pages 177-192, June.
    5. Ledyard Tucker, 1966. "Some mathematical notes on three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 279-311, September.
    6. Paul Holland, 1981. "When are item response models consistent with observed data?," Psychometrika, Springer;The Psychometric Society, vol. 46(1), pages 79-92, March.
    7. Henry Kaiser & John Caffrey, 1965. "Alpha factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 30(1), pages 1-14, March.
    8. Paul Rosenbaum, 1984. "Testing the conditional independence and monotonicity assumptions of item response theory," Psychometrika, Springer;The Psychometric Society, vol. 49(3), pages 425-435, September.
    9. D. Grayson, 1988. "Two-group classification in latent trait theory: Scores with monotone likelihood ratio," Psychometrika, Springer;The Psychometric Society, vol. 53(3), pages 383-392, September.
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    Citations

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    Cited by:

    1. Jules L. Ellis & Klaas Sijtsma, 2023. "A Test to Distinguish Monotone Homogeneity from Monotone Multifactor Models," Psychometrika, Springer;The Psychometric Society, vol. 88(2), pages 387-412, June.
    2. Ivo Molenaar, 1998. "Data, model, conclusion, doing it again," Psychometrika, Springer;The Psychometric Society, vol. 63(4), pages 315-340, December.
    3. De Gooijer, Jan G. & Yuan, Ao, 2011. "Some exact tests for manifest properties of latent trait models," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 34-44, January.
    4. Jules L. Ellis, 2021. "A Test Can Have Multiple Reliabilities," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 869-876, December.
    5. William Stout, 2002. "Psychometrics: From practice to theory and back," Psychometrika, Springer;The Psychometric Society, vol. 67(4), pages 485-518, December.
    6. Lynne Schofield & Brian Junker & Lowell Taylor & Dan Black, 2015. "Predictive Inference Using Latent Variables with Covariates," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 727-747, September.
    7. Pascal Jordan & Martin Spiess, 2018. "On Fair Person Classification Based on Efficient Factor Score Estimates in the Multidimensional Factor Analysis Model," Psychometrika, Springer;The Psychometric Society, vol. 83(3), pages 563-585, September.
    8. Rudy Ligtvoet, 2022. "Incomplete Tests of Conditional Association for the Assessment of Model Assumptions," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1214-1237, December.
    9. Sacha Epskamp & Mijke Rhemtulla & Denny Borsboom, 2017. "Generalized Network Psychometrics: Combining Network and Latent Variable Models," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 904-927, December.
    10. Jules Ellis, 2014. "An Inequality for Correlations in Unidimensional Monotone Latent Variable Models for Binary Variables," Psychometrika, Springer;The Psychometric Society, vol. 79(2), pages 303-316, April.
    11. Jules L. Ellis & Klaas Sijtsma, 2024. "Proof of Reliability Convergence to 1 at Rate of Spearman–Brown Formula for Random Test Forms and Irrespective of Item Pool Dimensionality," Psychometrika, Springer;The Psychometric Society, vol. 89(3), pages 774-795, September.

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