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Estimating item parameters and latent ability when responses are scored in two or more nominal categories

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Cited by:

  1. Leonardo Grilli & Carla Rampichini, 2019. "Discussion of ‘The class of CUB models: statistical foundations, inferential issues and empirical evidence’ by Domenico Piccolo and Rosaria Simone," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 28(3), pages 459-463, September.
  2. 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.
  3. Roderick McDonald, 1986. "Describing the elephant: Structure and function in multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 51(4), pages 513-534, December.
  4. Irini Moustaki & Martin Knott, 2000. "Generalized latent trait models," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 391-411, September.
  5. Jouni Kuha & Myrsini Katsikatsou & Irini Moustaki, 2018. "Latent variable modelling with non‐ignorable item non‐response: multigroup response propensity models for cross‐national analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 181(4), pages 1169-1192, October.
  6. Geofferey Masters, 1985. "A comparison of latent trait and latent class analyses of Likert-type data," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 69-82, March.
  7. Laine Bradshaw & Jonathan Templin, 2014. "Combining Item Response Theory and Diagnostic Classification Models: A Psychometric Model for Scaling Ability and Diagnosing Misconceptions," Psychometrika, Springer;The Psychometric Society, vol. 79(3), pages 403-425, July.
  8. Ghattas Badih & Michel Pierre & Boyer Laurent, 2019. "Assessing variable importance in clustering: a new method based on unsupervised binary decision trees," Computational Statistics, Springer, vol. 34(1), pages 301-321, March.
  9. Michal Abrahamowicz & James Ramsay, 1992. "Multicategorical spline model for item response theory," Psychometrika, Springer;The Psychometric Society, vol. 57(1), pages 5-27, March.
  10. Daphna Harel & Russell J. Steele, 2018. "An Information Matrix Test for the Collapsing of Categories Under the Partial Credit Model," Journal of Educational and Behavioral Statistics, , vol. 43(6), pages 721-750, December.
  11. Henk Kelderman & Carl Rijkes, 1994. "Loglinear multidimensional IRT models for polytomously scored items," Psychometrika, Springer;The Psychometric Society, vol. 59(2), pages 149-176, June.
  12. Paul Westers & Henk Kelderman, 1992. "Examining differential item functioning due to item difficulty and alternative attractiveness," Psychometrika, Springer;The Psychometric Society, vol. 57(1), pages 107-118, March.
  13. 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.
  14. Javier Revuelta, 2004. "Analysis of distractor difficulty in multiple-choice items," Psychometrika, Springer;The Psychometric Society, vol. 69(2), pages 217-234, June.
  15. Yingbin Zhang & Zhaoxi Yang & Yehui Wang, 2022. "The Impact of Extreme Response Style on the Mean Comparison of Two Independent Samples," SAGE Open, , vol. 12(2), pages 21582440221, June.
  16. repec:jss:jstsof:35:i12 is not listed on IDEAS
  17. 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.
  18. Peida Zhan & Wen-Chung Wang & Xiaomin Li, 2020. "A Partial Mastery, Higher-Order Latent Structural Model for Polytomous Attributes in Cognitive Diagnostic Assessments," Journal of Classification, Springer;The Classification Society, vol. 37(2), pages 328-351, July.
  19. Carolyn J. Anderson & Jay Verkuilen & Buddy L. Peyton, 2010. "Modeling Polytomous Item Responses Using Simultaneously Estimated Multinomial Logistic Regression Models," Journal of Educational and Behavioral Statistics, , vol. 35(4), pages 422-452, August.
  20. Michelle M. LaMar, 2018. "Markov Decision Process Measurement Model," Psychometrika, Springer;The Psychometric Society, vol. 83(1), pages 67-88, March.
  21. David Magis, 2015. "A Note on Weighted Likelihood and Jeffreys Modal Estimation of Proficiency Levels in Polytomous Item Response Models," Psychometrika, Springer;The Psychometric Society, vol. 80(1), pages 200-204, March.
  22. Daniel Bolt & James Wollack & Youngsuk Suh, 2012. "Application of a Multidimensional Nested Logit Model to Multiple-Choice Test Items," Psychometrika, Springer;The Psychometric Society, vol. 77(2), pages 339-357, April.
  23. 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.
  24. Javier Revuelta, 2009. "Identifiability and Equivalence of GLLIRM Models," Psychometrika, Springer;The Psychometric Society, vol. 74(2), pages 257-272, June.
  25. 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.
  26. David Magis & Norman Verhelst, 2017. "On the Finiteness of the Weighted Likelihood Estimator of Ability," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 637-647, September.
  27. Ulf Böckenholt, 2001. "Mixed-effects analyses of rank-ordered data," Psychometrika, Springer;The Psychometric Society, vol. 66(1), pages 45-62, March.
  28. 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.
  29. Matthew D. Finkelman & Giles Hooker & Zhen Wang, 2010. "Prevalence and Magnitude of Paradoxical Results in Multidimensional Item Response Theory," Journal of Educational and Behavioral Statistics, , vol. 35(6), pages 744-761, December.
  30. Singh, Jagdip, 2004. "Tackling measurement problems with Item Response Theory: Principles, characteristics, and assessment, with an illustrative example," Journal of Business Research, Elsevier, vol. 57(2), pages 184-208, February.
  31. Cees Glas, 1999. "Modification indices for the 2-PL and the nominal response model," Psychometrika, Springer;The Psychometric Society, vol. 64(3), pages 273-294, September.
  32. Bas Hemker & Klaas Sijtsma & Ivo Molenaar & Brian Junker, 1996. "Polytomous IRT models and monotone likelihood ratio of the total score," Psychometrika, Springer;The Psychometric Society, vol. 61(4), pages 679-693, December.
  33. Dylan Molenaar, 2015. "Heteroscedastic Latent Trait Models for Dichotomous Data," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 625-644, September.
  34. Brooke E. Magnus & David Thissen, 2017. "Item Response Modeling of Multivariate Count Data With Zero Inflation, Maximum Inflation, and Heaping," Journal of Educational and Behavioral Statistics, , vol. 42(5), pages 531-558, October.
  35. Thomas Love, 1997. "Distractor selection ratios," Psychometrika, Springer;The Psychometric Society, vol. 62(1), pages 51-62, March.
  36. Klijn, Flip & Mdaghri Alaoui, Mehdi & Vorsatz, Marc, 2022. "Academic integrity in on-line exams: Evidence from a randomized field experiment," Journal of Economic Psychology, Elsevier, vol. 93(C).
  37. 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.
  38. David Thissen & Lynne Steinberg, 1984. "A response model for multiple choice items," Psychometrika, Springer;The Psychometric Society, vol. 49(4), pages 501-519, December.
  39. Silvana Bortolotti & Rafael Tezza & Dalton Andrade & Antonio Bornia & Afonso Sousa Júnior, 2013. "Relevance and advantages of using the item response theory," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(4), pages 2341-2360, June.
  40. Magis, David & Raîche, Gilles, 2012. "Random Generation of Response Patterns under Computerized Adaptive Testing with the R Package catR," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i08).
  41. David Budescu & Yuanchao Bo, 2015. "Analyzing Test-Taking Behavior: Decision Theory Meets Psychometric Theory," Psychometrika, Springer;The Psychometric Society, vol. 80(4), pages 1105-1122, December.
  42. Margo Jansen & Marijtje Duijn, 1992. "Extensions of Rasch's multiplicative poisson model," Psychometrika, Springer;The Psychometric Society, vol. 57(3), pages 405-414, September.
  43. David Magis, 2015. "A Note on the Equivalence Between Observed and Expected Information Functions With Polytomous IRT Models," Journal of Educational and Behavioral Statistics, , vol. 40(1), pages 96-105, February.
  44. Gerhard Tutz & Moritz Berger, 2016. "Response Styles in Rating Scales," Journal of Educational and Behavioral Statistics, , vol. 41(3), pages 239-268, June.
  45. Mark Reiser & Silvia Cagnone & Junfei Zhu, 2023. "An Extended GFfit Statistic Defined on Orthogonal Components of Pearson’s Chi-Square," Psychometrika, Springer;The Psychometric Society, vol. 88(1), pages 208-240, March.
  46. repec:hal:journl:hal-03533356 is not listed on IDEAS
  47. Huynh Huynh, 1996. "Decomposition of a Rasch partial credit item into independent binary and indecomposable trinary items," Psychometrika, Springer;The Psychometric Society, vol. 61(1), pages 31-39, March.
  48. Yang Liu & Weimeng Wang, 2022. "Semiparametric Factor Analysis for Item-Level Response Time Data," Psychometrika, Springer;The Psychometric Society, vol. 87(2), pages 666-692, June.
  49. Javier Revuelta, 2008. "The generalized Logit-Linear Item Response Model for Binary-Designed Items," Psychometrika, Springer;The Psychometric Society, vol. 73(3), pages 385-405, September.
  50. Zachary F. Fisher & Kenneth A. Bollen, 2020. "An Instrumental Variable Estimator for Mixed Indicators: Analytic Derivatives and Alternative Parameterizations," Psychometrika, Springer;The Psychometric Society, vol. 85(3), pages 660-683, September.
  51. Ulf Böckenholt, 2012. "The Cognitive-Miser Response Model: Testing for Intuitive and Deliberate Reasoning," Psychometrika, Springer;The Psychometric Society, vol. 77(2), pages 388-399, April.
  52. Mark Reiser, 1989. "An Application of the Item-Response Model to Psychiatric Epidemiology," Sociological Methods & Research, , vol. 18(1), pages 66-103, August.
  53. 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.
  54. 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.
  55. Gunter Maris & Han Maas, 2012. "Speed-Accuracy Response Models: Scoring Rules based on Response Time and Accuracy," Psychometrika, Springer;The Psychometric Society, vol. 77(4), pages 615-633, October.
  56. 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.
  57. Yount, Kathryn M. & Cheong, Yuk Fai & Maxwell, Lauren & Heckert, Jessica & Martinez, Elena M. & Seymour, Gregory, 2019. "Measurement properties of the project-level Women's Empowerment in Agriculture Index," World Development, Elsevier, vol. 124(C), pages 1-1.
  58. Wim Linden & Charles Lewis, 2015. "Bayesian Checks on Cheating on Tests," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 689-706, September.
  59. 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.
  60. Erling Andersen, 1977. "Sufficient statistics and latent trait models," Psychometrika, Springer;The Psychometric Society, vol. 42(1), pages 69-81, March.
  61. Yoshio Takane & Jan Leeuw, 1987. "On the relationship between item response theory and factor analysis of discretized variables," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 393-408, September.
  62. Joseph B. Lang, 2023. "A Randomization P-Value Test for Detecting Copying on Multiple-Choice Exams," Journal of Educational and Behavioral Statistics, , vol. 48(3), pages 296-319, June.
  63. 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.
  64. Albert Maydeu-Olivares & Harry Joe, 2006. "Limited Information Goodness-of-fit Testing in Multidimensional Contingency Tables," Psychometrika, Springer;The Psychometric Society, vol. 71(4), pages 713-732, December.
  65. César Martinelli & Susan W. Parker & Ana Cristina Pérez-Gea & Rodimiro Rodrigo, 2018. "Cheating and Incentives: Learning from a Policy Experiment," American Economic Journal: Economic Policy, American Economic Association, vol. 10(1), pages 298-325, February.
  66. Ulf Böckenholt, 2006. "Thurstonian-Based Analyses: Past, Present, and Future Utilities," Psychometrika, Springer;The Psychometric Society, vol. 71(4), pages 615-629, December.
  67. Stefano Noventa & Andrea Spoto & Jürgen Heller & Augustin Kelava, 2019. "On a Generalization of Local Independence in Item Response Theory Based on Knowledge Space Theory," Psychometrika, Springer;The Psychometric Society, vol. 84(2), pages 395-421, June.
  68. Carmen Köhler & Alexander Robitzsch & Johannes Hartig, 2020. "A Bias-Corrected RMSD Item Fit Statistic: An Evaluation and Comparison to Alternatives," Journal of Educational and Behavioral Statistics, , vol. 45(3), pages 251-273, June.
  69. Myszkowski, Nils & Storme, Martin, 2018. "A snapshot of g? Binary and polytomous item-response theory investigations of the last series of the Standard Progressive Matrices (SPM-LS)," Intelligence, Elsevier, vol. 68(C), pages 109-116.
  70. Brzezińska Justyna, 2018. "Item Response Theory Models in the Measurement Theory with the Use of ltm Package in R," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 22(1), pages 11-25, March.
  71. 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.
  72. De Boeck, Paul & Partchev, Ivailo, 2012. "IRTrees: Tree-Based Item Response Models of the GLMM Family," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(c01).
  73. John Hsu & Tom Leonard & Kam-Wah Tsui, 1991. "Statistical inference for multiple choice tests," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 327-348, June.
  74. Frederic Lord, 1983. "Maximum likelihood estimation of item response parameters when some responses are omitted," Psychometrika, Springer;The Psychometric Society, vol. 48(3), pages 477-482, September.
  75. Yang Liu & Jan Hannig & Abhishek Pal Majumder, 2019. "Second-Order Probability Matching Priors for the Person Parameter in Unidimensional IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 84(3), pages 701-718, September.
  76. Lei Guo & Wenjie Zhou & Xiao Li, 2024. "Cognitive Diagnosis Testlet Model for Multiple-Choice Items," Journal of Educational and Behavioral Statistics, , vol. 49(1), pages 32-60, February.
  77. Hsiao, Cheng & Sun, Bao-Hong, 1998. "Modeling survey response bias - with an analysis of the demand for an advanced electronic device," Journal of Econometrics, Elsevier, vol. 89(1-2), pages 15-39, November.
  78. 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.
  79. Martijn Berger & C. Joy King & Weng Wong, 2000. "Minimax d-optimal designs for item response theory models," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 377-390, September.
  80. Sandip Sinharay, 2018. "Detecting Fraudulent Erasures at an Aggregate Level," Journal of Educational and Behavioral Statistics, , vol. 43(3), pages 286-315, June.
  81. Andersson, Björn & Jin, Shaobo & Zhang, Maoxin, 2023. "Fast estimation of multiple group generalized linear latent variable models for categorical observed variables," Computational Statistics & Data Analysis, Elsevier, vol. 182(C).
  82. Javier Revuelta, 2010. "Estimating Difficulty from Polytomous Categorical Data," Psychometrika, Springer;The Psychometric Society, vol. 75(2), pages 331-350, June.
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