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

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  1. Irini Moustaki & Martin Knott, 2000. "Generalized latent trait models," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 391-411, September.
  2. Yu-Wei Chang & Nan-Jung Hsu & Rung-Ching Tsai, 2017. "Unifying Differential Item Functioning in Factor Analysis for Categorical Data Under a Discretization of a Normal Variant," Psychometrika, Springer;The Psychometric Society, vol. 82(2), pages 382-406, June.
  3. de Leeuw, Jan, 2006. "Principal component analysis of binary data by iterated singular value decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 50(1), pages 21-39, January.
  4. Mark Reiser & Karl F. Schuessler, 1991. "A Hierarchy for Some Latent Structure Models," Sociological Methods & Research, , vol. 19(4), pages 419-465, May.
  5. Maydeu Olivares, Alberto & D'Zurilla, Thomas J. & Morera, Osvaldo, 1996. "Assessing measurement invariance in questionnaires within latent trait models using item response theory," DES - Working Papers. Statistics and Econometrics. WS 10456, Universidad Carlos III de Madrid. Departamento de Estadística.
  6. Ulf Böckenholt & Ingo Böckenholt, 1991. "Constrained latent class analysis: Simultaneous classification and scaling of discrete choice data," Psychometrika, Springer;The Psychometric Society, vol. 56(4), pages 699-716, December.
  7. Ronald Schoenberg & Gerhard Arminger, 1989. "Latent Variable Models of Dichotomous Data," Sociological Methods & Research, , vol. 18(1), pages 164-182, August.
  8. Timothy R. Johnson & Daniel M. Bolt, 2010. "On the Use of Factor-Analytic Multinomial Logit Item Response Models to Account for Individual Differences in Response Style," Journal of Educational and Behavioral Statistics, , vol. 35(1), pages 92-114, February.
  9. Ulf Böckenholt, 2001. "Mixed-effects analyses of rank-ordered data," Psychometrika, Springer;The Psychometric Society, vol. 66(1), pages 45-62, March.
  10. Dylan Molenaar, 2015. "Heteroscedastic Latent Trait Models for Dichotomous Data," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 625-644, September.
  11. Njål Foldnes & Steffen Grønneberg, 2019. "On Identification and Non-normal Simulation in Ordinal Covariance and Item Response Models," Psychometrika, Springer;The Psychometric Society, vol. 84(4), pages 1000-1017, December.
  12. Steven P. Reise & Han Du & Emily F. Wong & Anne S. Hubbard & Mark G. Haviland, 2021. "Matching IRT Models to Patient-Reported Outcomes Constructs: The Graded Response and Log-Logistic Models for Scaling Depression," Psychometrika, Springer;The Psychometric Society, vol. 86(3), pages 800-824, September.
  13. Christoph T. Weiss, 2012. "Persistent Attitudes and Behaviors," "Marco Fanno" Working Papers 0143, Dipartimento di Scienze Economiche "Marco Fanno".
  14. Silvia Bianconcini & Silvia Cagnone, 2012. "A General Multivariate Latent Growth Model With Applications to Student Achievement," Journal of Educational and Behavioral Statistics, , vol. 37(2), pages 339-364, April.
  15. 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.
  16. John Levi Martin, 2016. "The dimensionality of discrete factor analyses," Quality & Quantity: International Journal of Methodology, Springer, vol. 50(6), pages 2451-2467, November.
  17. Anna Brown, 2016. "Item Response Models for Forced-Choice Questionnaires: A Common Framework," Psychometrika, Springer;The Psychometric Society, vol. 81(1), pages 135-160, March.
  18. Mayssun El-Attar & Markus Poschke, 2011. "Trust and the Choice Between Housing and Financial Assets: Evidence from Spanish Households," Review of Finance, European Finance Association, vol. 15(4), pages 727-756.
  19. Katsikatsou, Myrsini & Moustaki, Irini & Yang-Wallentin, Fan & Jöreskog, Karl G., 2012. "Pairwise likelihood estimation for factor analysis models with ordinal data," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4243-4258.
  20. Alexander Robitzsch, 2024. "A Comparison of Limited Information Estimation Methods for the Two-Parameter Normal-Ogive Model with Locally Dependent Items," Stats, MDPI, vol. 7(3), pages 1-16, June.
  21. Francesco Bartolucci & Ivonne Solis-Trapala, 2010. "Multidimensional Latent Markov Models in a Developmental Study of Inhibitory Control and Attentional Flexibility in Early Childhood," Psychometrika, Springer;The Psychometric Society, vol. 75(4), pages 725-743, December.
  22. Molenaar, Dylan & Kő, Natasa & Rózsa, Sandor & Mészáros, Andrea, 2017. "Differentiation of cognitive abilities in the WAIS-IV at the item level," Intelligence, Elsevier, vol. 65(C), pages 48-59.
  23. Yang Yixin & Lü Xin & Ma Jian & Qiao Han, 2014. "A Robust Factor Analysis Model for Dichotomous Data," Journal of Systems Science and Information, De Gruyter, vol. 2(5), pages 437-450, October.
  24. Wim Krijnen, 2006. "Implications of Indeterminate Factor-Error Covariances for Factor Construction, Prediction, and Determinacy," Psychometrika, Springer;The Psychometric Society, vol. 71(3), pages 503-519, September.
  25. Mayssun El-Attar, 2013. "Trust, child care technology choice and female labor force participation," Review of Economics of the Household, Springer, vol. 11(4), pages 507-544, December.
  26. Jeanne A. Teresi & Chun Wang & Marjorie Kleinman & Richard N. Jones & David J. Weiss, 2021. "Differential Item Functioning Analyses of the Patient-Reported Outcomes Measurement Information System (PROMIS®) Measures: Methods, Challenges, Advances, and Future Directions," Psychometrika, Springer;The Psychometric Society, vol. 86(3), pages 674-711, September.
  27. Nuo Xi & Michael W. Browne, 2014. "Contributions to the Underlying Bivariate Normal Method for Factor Analyzing Ordinal Data," Journal of Educational and Behavioral Statistics, , vol. 39(6), pages 583-611, December.
  28. Ulf Böckenholt & William Dillon, 1997. "Modeling within-subject dependencies in ordinal paired comparison data," Psychometrika, Springer;The Psychometric Society, vol. 62(3), pages 411-434, September.
  29. Monia Ranalli & Roberto Rocci, 2017. "A Model-Based Approach to Simultaneous Clustering and Dimensional Reduction of Ordinal Data," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 1007-1034, December.
  30. Ulf Böckenholt, 1990. "Multivariate thurstonian models," Psychometrika, Springer;The Psychometric Society, vol. 55(2), pages 391-403, June.
  31. Inhan Kang & Dylan Molenaar & Roger Ratcliff, 2023. "A Modeling Framework to Examine Psychological Processes Underlying Ordinal Responses and Response Times of Psychometric Data," Psychometrika, Springer;The Psychometric Society, vol. 88(3), pages 940-974, September.
  32. Klaas Sijtsma, 2009. "On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 107-120, March.
  33. Lijuan Wang, 2010. "IRT–ZIP Modeling for Multivariate Zero-Inflated Count Data," Journal of Educational and Behavioral Statistics, , vol. 35(6), pages 671-692, December.
  34. Chun Wang & Steven W. Nydick, 2020. "On Longitudinal Item Response Theory Models: A Didactic," Journal of Educational and Behavioral Statistics, , vol. 45(3), pages 339-368, June.
  35. Jochen Ranger & Kay Brauer, 2022. "On the Generalized S − X 2 –Test of Item Fit: Some Variants, Residuals, and a Graphical Visualization," Journal of Educational and Behavioral Statistics, , vol. 47(2), pages 202-230, April.
  36. Yong Luo & Khaleel Al-Harbi, 2016. "The Utility of the Bifactor Method for Unidimensionality Assessment When Other Methods Disagree," SAGE Open, , vol. 6(4), pages 21582440166, October.
  37. Takane, Yoshio, 2016. "My Early Interactions with Jan and Some of His Lost Papers," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 73(i07).
  38. Jonas Moss & Steffen Grønneberg, 2023. "Partial Identification of Latent Correlations with Ordinal Data," Psychometrika, Springer;The Psychometric Society, vol. 88(1), pages 241-252, March.
  39. Sen-Chi Yu & Yuan-Horng Lin & Wei-Hsin Hsu, 2013. "Applying structural equation modeling to report psychometric properties of Chinese version 10-item CES-D depression scale," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(3), pages 1511-1518, April.
  40. Thum, Anna-Elisabeth, 2013. "Psychology in econometric models: conceptual and methodological foundations," MPRA Paper 52293, University Library of Munich, Germany.
  41. Ting Wang & Carolin Strobl & Achim Zeileis & Edgar C. Merkle, 2018. "Score-Based Tests of Differential Item Functioning via Pairwise Maximum Likelihood Estimation," Psychometrika, Springer;The Psychometric Society, vol. 83(1), pages 132-155, March.
  42. Michael Edwards, 2010. "A Markov Chain Monte Carlo Approach to Confirmatory Item Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 75(3), pages 474-497, September.
  43. Edward Haertel, 1990. "Continuous and discrete latent structure models for item response data," Psychometrika, Springer;The Psychometric Society, vol. 55(3), pages 477-494, September.
  44. Lippman, Sheri A. & Neilands, Torsten B. & Leslie, Hannah H. & Maman, Suzanne & MacPhail, Catherine & Twine, Rhian & Peacock, Dean & Kahn, Kathleen & Pettifor, Audrey, 2016. "Development, validation, and performance of a scale to measure community mobilization," Social Science & Medicine, Elsevier, vol. 157(C), pages 127-137.
  45. Royce Anders & William Batchelder, 2015. "Cultural Consensus Theory for the Ordinal Data Case," Psychometrika, Springer;The Psychometric Society, vol. 80(1), pages 151-181, March.
  46. Maydeu-Olivares, Albert, 2002. "Limited information estimation and testing of Thurstonian models for preference data," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 467-483, July.
  47. 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.
  48. 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.
  49. Yikun Luo & Qipeng Chen & Jianyong Chen & Peida Zhan, 2024. "Development and validation of two shortened anxiety sensitive index-3 scales based on item response theory," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-7, December.
  50. Albert Maydeu-Olivares, 2001. "Limited information estimation and testing of Thurstonian models for paired comparison data under multiple judgment sampling," Psychometrika, Springer;The Psychometric Society, vol. 66(2), pages 209-227, June.
  51. Shaobo Jin & Fan Yang-Wallentin & Kenneth A. Bollen, 2021. "A unified model-implied instrumental variable approach for structural equation modeling with mixed variables," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 564-594, June.
  52. Yang Liu, 2020. "A Riemannian Optimization Algorithm for Joint Maximum Likelihood Estimation of High-Dimensional Exploratory Item Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 85(2), pages 439-468, June.
  53. Anders Skrondal & Sophia Rabe‐Hesketh, 2007. "Latent Variable Modelling: A Survey," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 34(4), pages 712-745, December.
  54. Susan Embretson, 1991. "A multidimensional latent trait model for measuring learning and change," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 495-515, September.
  55. Rosemary Abbott & George Ploubidis & Felicia Huppert & Diana Kuh & Tim Croudace, 2010. "An Evaluation of the Precision of Measurement of Ryff’s Psychological Well-Being Scales in a Population Sample," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 97(3), pages 357-373, July.
  56. Mark Reiser, 1996. "Analysis of residuals for the multionmial item response model," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 509-528, September.
  57. Albert Maydeu-Olivares, 1999. "Thurstonian modeling of ranking data via mean and covariance structure analysis," Psychometrika, Springer;The Psychometric Society, vol. 64(3), pages 325-340, September.
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