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Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm

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Cited by:

  1. Haruhiko Ogasawara, 2013. "Asymptotic properties of the Bayes modal estimators of item parameters in item response theory," Computational Statistics, Springer, vol. 28(6), pages 2559-2583, December.
  2. Ke-Hai Yuan & Ying Cheng & Jeff Patton, 2014. "Information Matrices and Standard Errors for MLEs of Item Parameters in IRT," Psychometrika, Springer;The Psychometric Society, vol. 79(2), pages 232-254, April.
  3. Michela Battauz, 2017. "Multiple Equating of Separate IRT Calibrations," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 610-636, September.
  4. Thiel, Hendrik & Thomsen, Stephan L., 2013. "Noncognitive skills in economics: Models, measurement, and empirical evidence," Research in Economics, Elsevier, vol. 67(2), pages 189-214.
  5. Byron Shafer & Richard Spady, 2002. "The issue context of modern American politics: semiparametric identification of latent factors from Discrete data," CeMMAP working papers CWP16/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  6. Mark Reiser, 1989. "An Application of the Item-Response Model to Psychiatric Epidemiology," Sociological Methods & Research, , vol. 18(1), pages 66-103, August.
  7. Steffen Nestler & Edgar Erdfelder, 2023. "Random Effects Multinomial Processing Tree Models: A Maximum Likelihood Approach," Psychometrika, Springer;The Psychometric Society, vol. 88(3), pages 809-829, September.
  8. Sik-Yum Lee & Liang Xu, 2003. "On local influence analysis of full information item factor models," Psychometrika, Springer;The Psychometric Society, vol. 68(3), pages 339-360, September.
  9. Anders Skrondal & Sophia Rabe‐Hesketh, 2009. "Prediction in multilevel generalized linear models," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(3), pages 659-687, June.
  10. Shelby Haberman & Sandip Sinharay, 2010. "Reporting of Subscores Using Multidimensional Item Response Theory," Psychometrika, Springer;The Psychometric Society, vol. 75(2), pages 209-227, June.
  11. Dylan Molenaar & Paul Boeck, 2018. "Response Mixture Modeling: Accounting for Heterogeneity in Item Characteristics across Response Times," Psychometrika, Springer;The Psychometric Society, vol. 83(2), pages 279-297, June.
  12. Christian A. Gregory, 2020. "Are We Underestimating Food Insecurity? Partial Identification with a Bayesian 4-Parameter IRT Model," Journal of Classification, Springer;The Classification Society, vol. 37(3), pages 632-655, October.
  13. Eijffinger, Sylvester & Mahieu, Ronald & Raes, Louis, 2018. "Inferring hawks and doves from voting records," European Journal of Political Economy, Elsevier, vol. 51(C), pages 107-120.
  14. Anne Thissen-Roe & David Thissen, 2013. "A Two-Decision Model for Responses to Likert-Type Items," Journal of Educational and Behavioral Statistics, , vol. 38(5), pages 522-547, October.
  15. Michela Battauz & Ruggero Bellio, 2011. "Structural Modeling of Measurement Error in Generalized Linear Models with Rasch Measures as Covariates," Psychometrika, Springer;The Psychometric Society, vol. 76(1), pages 40-56, January.
  16. Scott Monroe, 2021. "Testing Latent Variable Distribution Fit in IRT Using Posterior Residuals," Journal of Educational and Behavioral Statistics, , vol. 46(3), pages 374-398, June.
  17. Jeong, Dong Wook & Luschei, Thomas F., 2018. "Are teachers losing control of the classroom? Global changes in school governance and teacher responsibilities, 2000–2015," International Journal of Educational Development, Elsevier, vol. 62(C), pages 289-301.
  18. Bengt Muthén & David Kaplan & Michael Hollis, 1987. "On structural equation modeling with data that are not missing completely at random," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 431-462, September.
  19. Melissa Gladstone & Gillian Lancaster & Gareth McCray & Vanessa Cavallera & Claudia R. L. Alves & Limbika Maliwichi & Muneera A. Rasheed & Tarun Dua & Magdalena Janus & Patricia Kariger, 2021. "Validation of the Infant and Young Child Development (IYCD) Indicators in Three Countries: Brazil, Malawi and Pakistan," IJERPH, MDPI, vol. 18(11), pages 1-19, June.
  20. J. Ramsay, 1989. "A comparison of three simple test theory models," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 487-499, September.
  21. Asim Ansari & Kamel Jedidi, 2000. "Bayesian factor analysis for multilevel binary observations," Psychometrika, Springer;The Psychometric Society, vol. 65(4), pages 475-496, December.
  22. Yang Liu & Ji Seung Yang, 2018. "Bootstrap-Calibrated Interval Estimates for Latent Variable Scores in Item Response Theory," Psychometrika, Springer;The Psychometric Society, vol. 83(2), pages 333-354, June.
  23. Das, Jishnu & Hammer, Jeffrey, 2005. "Which doctor? Combining vignettes and item response to measure clinical competence," Journal of Development Economics, Elsevier, vol. 78(2), pages 348-383, December.
  24. Lucia Dalla Pellegrina & Nuno Garoupa & Marian Gili, 2020. "Estimating Judicial Ideal Points in Bi‐Dimensional Courts: Evidence from Catalonia," Journal of Empirical Legal Studies, John Wiley & Sons, vol. 17(2), pages 383-415, June.
  25. Haruhiko Ogasawara, 2012. "Asymptotic expansions for the ability estimator in item response theory," Computational Statistics, Springer, vol. 27(4), pages 661-683, December.
  26. Siliang Zhang & Yunxiao Chen, 2022. "Computation for Latent Variable Model Estimation: A Unified Stochastic Proximal Framework," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1473-1502, December.
  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. Peida Zhan & Xin Qiao, 2022. "DIAGNOSTIC Classification Analysis of Problem-Solving Competence using Process Data: An Item Expansion Method," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1529-1547, December.
  29. Y Chen & X Li, 2022. "Determining the number of factors in high-dimensional generalized latent factor models [Eigenvalue ratio test for the number of factors]," Biometrika, Biometrika Trust, vol. 109(3), pages 769-782.
  30. Trang Quynh Nguyen & Elizabeth A. Stuart, 2020. "Propensity Score Analysis With Latent Covariates: Measurement Error Bias Correction Using the Covariate’s Posterior Mean, aka the Inclusive Factor Score," Journal of Educational and Behavioral Statistics, , vol. 45(5), pages 598-636, October.
  31. Yang Liu & Jan Hannig, 2017. "Generalized Fiducial Inference for Logistic Graded Response Models," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 1097-1125, December.
  32. Alexander Robitzsch, 2023. "Linking Error in the 2PL Model," J, MDPI, vol. 6(1), pages 1-27, January.
  33. N. Verhelst & C. Glas, 1993. "A dynamic generalization of the Rasch model," Psychometrika, Springer;The Psychometric Society, vol. 58(3), pages 395-415, September.
  34. Ingo W Nader & Ulrich S Tran & Martin Voracek, 2015. "Effects of Initial Values and Convergence Criterion in the Two-Parameter Logistic Model When Estimating the Latent Distribution in BILOG-MG 3," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-14, October.
  35. R. Philip Chalmers, 2018. "Model-Based Measures for Detecting and Quantifying Response Bias," Psychometrika, Springer;The Psychometric Society, vol. 83(3), pages 696-732, September.
  36. Herbert Hoijtink, 1990. "A latent trait model for dichotomous choice data," Psychometrika, Springer;The Psychometric Society, vol. 55(4), pages 641-656, December.
  37. Rabe-Hesketh, Sophia & Skrondal, Anders & Pickles, Andrew, 2005. "Maximum likelihood estimation of limited and discrete dependent variable models with nested random effects," Journal of Econometrics, Elsevier, vol. 128(2), pages 301-323, October.
  38. Uttaro, Thomas & Lehman, Anthony, 1999. "Graded response modeling of the Quality of Life Interview," Evaluation and Program Planning, Elsevier, vol. 22(1), pages 41-52.
  39. Björn Andersson & Tao Xin, 2021. "Estimation of Latent Regression Item Response Theory Models Using a Second-Order Laplace Approximation," Journal of Educational and Behavioral Statistics, , vol. 46(2), pages 244-265, April.
  40. Sik-Yum Lee & Xin-Yuan Song, 2007. "A Unified Maximum Likelihood Approach for Analyzing Structural Equation Models With Missing Nonstandard Data," Sociological Methods & Research, , vol. 35(3), pages 352-381, February.
  41. Felix Zimmer & Clemens Draxler & Rudolf Debelak, 2023. "Power Analysis for the Wald, LR, Score, and Gradient Tests in a Marginal Maximum Likelihood Framework: Applications in IRT," Psychometrika, Springer;The Psychometric Society, vol. 88(4), pages 1249-1298, December.
  42. Ying Cheng & Ke-Hai Yuan, 2010. "The Impact of Fallible Item Parameter Estimates on Latent Trait Recovery," Psychometrika, Springer;The Psychometric Society, vol. 75(2), pages 280-291, June.
  43. Klaus Larsen, 2005. "The Cox Proportional Hazards Model with a Continuous Latent Variable Measured by Multiple Binary Indicators," Biometrics, The International Biometric Society, vol. 61(4), pages 1049-1055, December.
  44. Li C. Liu & Donald Hedeker, 2006. "A Mixed-Effects Regression Model for Longitudinal Multivariate Ordinal Data," Biometrics, The International Biometric Society, vol. 62(1), pages 261-268, March.
  45. John Patrick Lalor & Pedro Rodriguez, 2023. "py-irt : A Scalable Item Response Theory Library for Python," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 5-13, January.
  46. Vock, David & Davidian, Marie & Tsiatis, Anastasios, 2014. "SNP_NLMM: A SAS Macro to Implement a Flexible Random Effects Density for Generalized Linear and Nonlinear Mixed Models," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 56(c02).
  47. Alberto Maydeu-Olivares & Rosa Montaño, 2013. "How Should We Assess the Fit of Rasch-Type Models? Approximating the Power of Goodness-of-Fit Statistics in Categorical Data Analysis," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 116-133, January.
  48. Hyo Jin Eom & Nara Youn & Myoung‐Jin Lee, 2020. "Validation of Consumer Styles Inventory for consumer decision making styles," Journal of Consumer Affairs, Wiley Blackwell, vol. 54(3), pages 836-853, September.
  49. Michael Peress, 2012. "Identification of a Semiparametric Item Response Model," Psychometrika, Springer;The Psychometric Society, vol. 77(2), pages 223-243, April.
  50. Carolina Navarro & Luis Ayala & José Labeaga, 2010. "Housing deprivation and health status: evidence from Spain," Empirical Economics, Springer, vol. 38(3), pages 555-582, June.
  51. Jialiang Li & Shuangge Ma, 2010. "Interval‐censored data with repeated measurements and a cured subgroup," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(4), pages 693-705, August.
  52. Paul A. Jewsbury & Peter W. van Rijn, 2020. "IRT and MIRT Models for Item Parameter Estimation With Multidimensional Multistage Tests," Journal of Educational and Behavioral Statistics, , vol. 45(4), pages 383-402, August.
  53. Ogasawara, Haruhiko, 2013. "Asymptotic properties of the Bayes and pseudo Bayes estimators of ability in item response theory," Journal of Multivariate Analysis, Elsevier, vol. 114(C), pages 359-377.
  54. Seonghoon Kim, 2012. "A Note on the Reliability Coefficients for Item Response Model-Based Ability Estimates," Psychometrika, Springer;The Psychometric Society, vol. 77(1), pages 153-162, January.
  55. Bianconcini, Silvia & Cagnone, Silvia, 2012. "Estimation of generalized linear latent variable models via fully exponential Laplace approximation," Journal of Multivariate Analysis, Elsevier, vol. 112(C), pages 183-193.
  56. Jaehwa Choi, 2022. "Cognitive Trait Model: Measurement Model for Mastery Level and Progression of Learning," Mathematics, MDPI, vol. 10(15), pages 1-21, July.
  57. Norman Rose & Matthias Davier & Benjamin Nagengast, 2017. "Modeling Omitted and Not-Reached Items in IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 795-819, September.
  58. Salim Moussa, 2016. "A two-step item response theory procedure for a better measurement of marketing constructs," Journal of Marketing Analytics, Palgrave Macmillan, vol. 4(1), pages 28-50, March.
  59. Norman Cliff, 1989. "Ordinal consistency and ordinal true scores," Psychometrika, Springer;The Psychometric Society, vol. 54(1), pages 75-91, March.
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  61. W. Nicewander, 1990. "A latent-trait based reliability estimate and upper bound," Psychometrika, Springer;The Psychometric Society, vol. 55(1), pages 65-74, March.
  62. Albert Yu & Jeffrey A. Douglas, 2023. "IRT Models for Learning With Item-Specific Learning Parameters," Journal of Educational and Behavioral Statistics, , vol. 48(6), pages 866-888, December.
  63. Robert Gibbons & Donald Hedeker, 1992. "Full-information item bi-factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 57(3), pages 423-436, September.
  64. Tim Kaiser & Luis Oberrauch & Günther Seeber, 2020. "Measuring economic competence of secondary school students in Germany," The Journal of Economic Education, Taylor & Francis Journals, vol. 51(3-4), pages 227-242, August.
  65. Teshita Uke Chikako & Reta Habtamu Bacha & John Elvis Hagan & Abdul-Aziz Seidu & Kenenisa Abdisa Kuse & Bright Opoku Ahinkorah, 2022. "Multilevel Modelling of the Individual and Regional Level Variability in Predictors of Incomplete Antenatal Care Visit among Women of Reproductive Age in Ethiopia: Classical and Bayesian Approaches," IJERPH, MDPI, vol. 19(11), pages 1-14, May.
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  69. Guastadisegni, Lucia & Cagnone, Silvia & Moustaki, Irini & Vasdekis, Vassilis, 2022. "Use of the Lagrange multiplier test for assessing measurement invariance under model misspecification," LSE Research Online Documents on Economics 110358, London School of Economics and Political Science, LSE Library.
  70. Ji Seung Yang & Xiaying Zheng, 2018. "Item Response Data Analysis Using Stata Item Response Theory Package," Journal of Educational and Behavioral Statistics, , vol. 43(1), pages 116-129, February.
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  128. Caterina Primi & Giulia Fioravanti & Silvia Casale & Maria Anna Donati, 2021. "Measuring Problematic Facebook Use among Adolescents and Young Adults with the Bergen Facebook Addiction Scale: A Psychometric Analysis by Applying Item Response Theory," IJERPH, MDPI, vol. 18(6), pages 1-15, March.
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