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Bayesian estimation of a multilevel IRT model using gibbs sampling

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Cited by:

  1. Darío Moreno-Agostino & Francisco José Abad & Francisco Félix Caballero, 2022. "Evidence on the Bidirectional Relationship Between Health and Life Satisfaction in Older Adults," Journal of Happiness Studies, Springer, vol. 23(4), pages 1561-1577, April.
  2. Andrade, Dalton F. & Tavares, Heliton R., 2005. "Item response theory for longitudinal data: population parameter estimation," Journal of Multivariate Analysis, Elsevier, vol. 95(1), pages 1-22, July.
  3. Lai-Fa Hung & Wen-Chung Wang, 2012. "The Generalized Multilevel Facets Model for Longitudinal Data," Journal of Educational and Behavioral Statistics, , vol. 37(2), pages 231-255, April.
  4. A. Béguin & C. Glas, 2001. "MCMC estimation and some model-fit analysis of multidimensional IRT models," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 541-561, December.
  5. Asim Ansari & Raghuram Iyengar, 2006. "Semiparametric Thurstonian Models for Recurrent Choices: A Bayesian Analysis," Psychometrika, Springer;The Psychometric Society, vol. 71(4), pages 631-657, December.
  6. Sun-Joo Cho & Allan S. Cohen, 2010. "A Multilevel Mixture IRT Model With an Application to DIF," Journal of Educational and Behavioral Statistics, , vol. 35(3), pages 336-370, June.
  7. Cho, S.-J. & Rabe-Hesketh, S., 2011. "Alternating imputation posterior estimation of models with crossed random effects," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 12-25, January.
  8. Jeffrey Rouder & Dongchu Sun & Paul Speckman & Jun Lu & Duo Zhou, 2003. "A hierarchical bayesian statistical framework for response time distributions," Psychometrika, Springer;The Psychometric Society, vol. 68(4), pages 589-606, December.
  9. Sophia Rabe-Hesketh & Anders Skrondal, 2007. "Multilevel and Latent Variable Modeling with Composite Links and Exploded Likelihoods," Psychometrika, Springer;The Psychometric Society, vol. 72(2), pages 123-140, June.
  10. Sijia Huang & Li Cai, 2024. "Cross-Classified Item Response Theory Modeling With an Application to Student Evaluation of Teaching," Journal of Educational and Behavioral Statistics, , vol. 49(3), pages 311-341, June.
  11. Mariagiulia Matteucci & Bernard Veldkamp, 2015. "The approach of power priors for ability estimation in IRT models," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(3), pages 917-926, May.
  12. 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.
  13. de Jong, M.G., 2006. "Response bias in international marketing research," Other publications TiSEM 5d4031be-97b5-4db3-962b-2, Tilburg University, School of Economics and Management.
  14. Yan Huo & Jimmy de la Torre & Eun-Young Mun & Su-Young Kim & Anne Ray & Yang Jiao & Helene White, 2015. "A Hierarchical Multi-Unidimensional IRT Approach for Analyzing Sparse, Multi-Group Data for Integrative Data Analysis," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 834-855, September.
  15. Ling Peng & Geng Cui & Yuho Chung & Chunyu Li, 2019. "A multi-facet item response theory approach to improve customer satisfaction using online product ratings," Journal of the Academy of Marketing Science, Springer, vol. 47(5), pages 960-976, September.
  16. Murphy, James, 2020. "Explanatory Item Response Models for Dyadic Data from Multiple Groups," SocArXiv sx9um, Center for Open Science.
  17. Frank Rijmen & Minjeong Jeon & Matthias von Davier & Sophia Rabe-Hesketh, 2014. "A Third-Order Item Response Theory Model for Modeling the Effects of Domains and Subdomains in Large-Scale Educational Assessment Surveys," Journal of Educational and Behavioral Statistics, , vol. 39(4), pages 235-256, August.
  18. Azevedo, Caio L.N. & Andrade, Dalton F. & Fox, Jean-Paul, 2012. "A Bayesian generalized multiple group IRT model with model-fit assessment tools," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4399-4412.
  19. Zhehan Jiang & Jonathan Templin, 2019. "Gibbs Samplers for Logistic Item Response Models via the Pólya–Gamma Distribution: A Computationally Efficient Data-Augmentation Strategy," Psychometrika, Springer;The Psychometric Society, vol. 84(2), pages 358-374, June.
  20. Fox, Jean-Paul, 2007. "Multilevel IRT Modeling in Practice with the Package mlirt," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i05).
  21. Heleno Bolfarine & Jorge Luis Bazan, 2010. "Bayesian Estimation of the Logistic Positive Exponent IRT Model," Journal of Educational and Behavioral Statistics, , vol. 35(6), pages 693-713, December.
  22. Ji Seung Yang & Li Cai, 2014. "Estimation of Contextual Effects Through Nonlinear Multilevel Latent Variable Modeling With a Metropolis–Hastings Robbins–Monro Algorithm," Journal of Educational and Behavioral Statistics, , vol. 39(6), pages 550-582, December.
  23. 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.
  24. Hanneke Geerlings & Cees Glas & Wim Linden, 2011. "Modeling Rule-Based Item Generation," Psychometrika, Springer;The Psychometric Society, vol. 76(2), pages 337-359, April.
  25. Minjeong Jeon & Frank Rijmen & Sophia Rabe-Hesketh, 2017. "A Variational Maximization–Maximization Algorithm for Generalized Linear Mixed Models with Crossed Random Effects," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 693-716, September.
  26. Li Cai, 2010. "High-dimensional Exploratory Item Factor Analysis by A Metropolis–Hastings Robbins–Monro Algorithm," Psychometrika, Springer;The Psychometric Society, vol. 75(1), pages 33-57, March.
  27. Wim van der Linden, 2007. "A Hierarchical Framework for Modeling Speed and Accuracy on Test Items," Psychometrika, Springer;The Psychometric Society, vol. 72(3), pages 287-308, September.
  28. Gonçalves, F.B. & Gamerman, D. & Soares, T.M., 2013. "Simultaneous multifactor DIF analysis and detection in Item Response Theory," Computational Statistics & Data Analysis, Elsevier, vol. 59(C), pages 144-160.
  29. Udo Boehm & Maarten Marsman & Han L. J. Maas & Gunter Maris, 2021. "An Attention-Based Diffusion Model for Psychometric Analyses," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 938-972, December.
  30. Simon Hug & Richard Lukács, 2014. "Preferences or blocs? Voting in the United Nations Human Rights Council," The Review of International Organizations, Springer, vol. 9(1), pages 83-106, March.
  31. Minjeong Jeon & Ick Hoon Jin & Michael Schweinberger & Samuel Baugh, 2021. "Mapping Unobserved Item–Respondent Interactions: A Latent Space Item Response Model with Interaction Map," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 378-403, June.
  32. Ick Hoon Jin & Minjeong Jeon, 2019. "A Doubly Latent Space Joint Model for Local Item and Person Dependence in the Analysis of Item Response Data," Psychometrika, Springer;The Psychometric Society, vol. 84(1), pages 236-260, March.
  33. Jiwei Zhang & Zhaoyuan Zhang & Jian Tao, 2021. "A Bayesian algorithm based on auxiliary variables for estimating GRM with non-ignorable missing data," Computational Statistics, Springer, vol. 36(4), pages 2643-2669, December.
  34. Azevedo, Caio L.N. & Bolfarine, Heleno & Andrade, Dalton F., 2011. "Bayesian inference for a skew-normal IRT model under the centred parameterization," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 353-365, January.
  35. Gunter Maris & Timo Bechger & Ernesto Martin, 2015. "A Gibbs Sampler for the (Extended) Marginal Rasch Model," Psychometrika, Springer;The Psychometric Society, vol. 80(4), pages 859-879, December.
  36. Jean-Paul Fox & Cees Glas, 2003. "Bayesian modeling of measurement error in predictor variables using item response theory," Psychometrika, Springer;The Psychometric Society, vol. 68(2), pages 169-191, June.
  37. Bacci, Silvia & Fabbricatore, Rosa & Iannario, Maria, 2023. "Multilevel IRT models for the analysis of satisfaction for distance learning during the Covid-19 pandemic," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).
  38. Heliton Tavares & Dalton Andrade, 2006. "Item response theory for longitudinal data: Item and population ability parameters estimation," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 97-123, June.
  39. repec:jss:jstsof:20:i05 is not listed on IDEAS
  40. Mariagiulia Matteucci & Bernard Veldkamp, 2013. "On the use of MCMC computerized adaptive testing with empirical prior information to improve efficiency," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 22(2), pages 243-267, June.
  41. Peida Zhan & Hong Jiao & Dandan Liao & Feiming Li, 2019. "A Longitudinal Higher-Order Diagnostic Classification Model," Journal of Educational and Behavioral Statistics, , vol. 44(3), pages 251-281, June.
  42. Chun Wang & Gongjun Xu & Xue Zhang, 2019. "Correction for Item Response Theory Latent Trait Measurement Error in Linear Mixed Effects Models," Psychometrika, Springer;The Psychometric Society, vol. 84(3), pages 673-700, September.
  43. R. Klein Entink & J.-P. Fox & W. Linden, 2009. "A Multivariate Multilevel Approach to the Modeling of Accuracy and Speed of Test Takers," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 21-48, March.
  44. Jaehwa Choi, 2022. "Cognitive Trait Model: Measurement Model for Mastery Level and Progression of Learning," Mathematics, MDPI, vol. 10(15), pages 1-21, July.
  45. Lara Fontanella & Mara Maretti & Annalina Sarra, 2014. "Gender fluidity across the world: a Multilevel Item Response Theory approach," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(5), pages 2553-2568, September.
  46. Steven Andrew Culpepper & Trevor Park, 2017. "Bayesian Estimation of Multivariate Latent Regression Models: Gauss Versus Laplace," Journal of Educational and Behavioral Statistics, , vol. 42(5), pages 591-616, October.
  47. Minjeong Jeon & Sophia Rabe-Hesketh, 2012. "Profile-Likelihood Approach for Estimating Generalized Linear Mixed Models With Factor Structures," Journal of Educational and Behavioral Statistics, , vol. 37(4), pages 518-542, August.
  48. Javier Revuelta, 2005. "An Item Response Model for Nominal Data Based on the Rising Selection Ratios Criterion," Psychometrika, Springer;The Psychometric Society, vol. 70(2), pages 305-324, June.
  49. Tufi M. Soares & Flávio B. Gonçalves & Dani Gamerman, 2009. "An Integrated Bayesian Model for DIF Analysis," Journal of Educational and Behavioral Statistics, , vol. 34(3), pages 348-377, September.
  50. Artur Pokropek, 2015. "Phantom Effects in Multilevel Compositional Analysis," Sociological Methods & Research, , vol. 44(4), pages 677-705, November.
  51. Meredith Langi & Minjeong Jeon, 2023. "Identifying and Supporting Academically Low-Performing Schools in a Developing Country: An Application of a Specialized Multilevel IRT Model to PISA-D Assessment Data," Psychometrika, Springer;The Psychometric Society, vol. 88(1), pages 332-356, March.
  52. Margot Bennink & Marcel A. Croon & Jos Keuning & Jeroen K. Vermunt, 2014. "Measuring Student Ability, Classifying Schools, and Detecting Item Bias at School Level, Based on Student-Level Dichotomous Items," Journal of Educational and Behavioral Statistics, , vol. 39(3), pages 180-202, June.
  53. Mario Quaranta, 2018. "The Meaning of Democracy to Citizens Across European Countries and the Factors Involved," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(3), pages 859-880, April.
  54. 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.
  55. Hong Jiao, 2011. "J.-P. FOX (2010) Bayesian Item Response Modeling: Theory and Applications," Psychometrika, Springer;The Psychometric Society, vol. 76(2), pages 360-362, April.
  56. Bengt Muthén & Tihomir Asparouhov, 2018. "Recent Methods for the Study of Measurement Invariance With Many Groups," Sociological Methods & Research, , vol. 47(4), pages 637-664, November.
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