Marginalized maximum a posteriori estimation for the four‐parameter logistic model under a mixture modelling framework
dc.contributor.author | Meng, Xiangbin | |
dc.contributor.author | Xu, Gongjun | |
dc.contributor.author | Zhang, Jiwei | |
dc.contributor.author | Tao, Jian | |
dc.date.accessioned | 2020-12-02T14:41:57Z | |
dc.date.available | WITHHELD_12_MONTHS | |
dc.date.available | 2020-12-02T14:41:57Z | |
dc.date.issued | 2020-11 | |
dc.identifier.citation | Meng, Xiangbin; Xu, Gongjun; Zhang, Jiwei; Tao, Jian (2020). "Marginalized maximum a posteriori estimation for the four‐parameter logistic model under a mixture modelling framework." British Journal of Mathematical and Statistical Psychology : 51-82. | |
dc.identifier.issn | 0007-1102 | |
dc.identifier.issn | 2044-8317 | |
dc.identifier.uri | https://hdl.handle.net/2027.42/163643 | |
dc.publisher | Wiley Periodicals, Inc. | |
dc.publisher | Akadémiai Kiadó | |
dc.subject.other | marginalized maximum a posteriori estimation | |
dc.subject.other | expectation–maximization algorithm | |
dc.subject.other | four‐parameter logistic model | |
dc.subject.other | mixture model | |
dc.title | Marginalized maximum a posteriori estimation for the four‐parameter logistic model under a mixture modelling framework | |
dc.type | Article | |
dc.rights.robots | IndexNoFollow | |
dc.subject.hlbsecondlevel | Psychology | |
dc.subject.hlbtoplevel | Social Sciences | |
dc.description.peerreviewed | Peer Reviewed | |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/163643/2/bmsp12185.pdf | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/163643/1/bmsp12185_am.pdf | en_US |
dc.identifier.doi | 10.1111/bmsp.12185 | |
dc.identifier.source | British Journal of Mathematical and Statistical Psychology | |
dc.identifier.citedreference | Rulison, K. L., & Loken, E. ( 2009 ). I’ve fallen and I can’t get up: Can high‐ability students recover from early mistakes in CAT? Applied Psychological Measurement, 33, 83 – 101. https://doi.org/10.1177/0146621608324023 | |
dc.identifier.citedreference | Meng, X. B., Tao, J., & Chen, S. L. ( 2016 ). Warm’s weighted maximum likelihood estimation of latent trait in the four‐parameter logistic model. Acta Psychologica Sinica, 48, 1047 – 1056. https://doi.org/10.3724/SP.J.1041.2016.01047 | |
dc.identifier.citedreference | Mislevy, R. J. ( 1986 ). Bayes modal estimation in item response models. Psychometrika, 51, 177 – 195. https://doi.org/10.1007/BF02293979 | |
dc.identifier.citedreference | Mislevy, R. J., & Bock, R. D. ( 1990 ). BILOG: Item analysis and test scoring with binary logistic models [Computer program]. Chicago, IL: Scientific Software. | |
dc.identifier.citedreference | Neyman, J., & Scott, E. L. ( 1948 ). Consistent estimates based on partially consistent observations. Econometrica, 16, 1 – 32. https://doi.org/10.2307/1914288 | |
dc.identifier.citedreference | Ogasawara, H. ( 2012 ). Asymptotic expansions for the ability estimator in item response theory. Computational Statistics, 27, 661 – 683. https:doi.org10.1007/s00180-011-0282-0 | |
dc.identifier.citedreference | Peneld, R. D., & Bergeron, J. M. ( 2005 ). Applying a weighted maximum likelihood latent trait estimator to the generalized partial credit model. Applied Psychological Measurement, 29, 218 – 233. https://doi.org/10.1177/0146621604270412 | |
dc.identifier.citedreference | Reise, S. P., & Waller, N. G. ( 2003 ). How many IRT parameters does it take to model psychopathology items? Psychological Methods, 8, 164 – 184. https://doi.org/10.1037/1082-989X.8.2.164 | |
dc.identifier.citedreference | Rogers, H., & Hattie, J. ( 1987 ). A Monte Carlo investigation of several person and item fit statistics for item response models. Applied Psychological Measurement, 11, 47 – 57. https://doi.org/10.1177/014662168701100103 | |
dc.identifier.citedreference | Rouse, S. V., Finger, M. S., & Butcher, J. N. ( 1999 ). Advances in clinical personality measurement: An item response theory analysis of the MMPI‐2 PSY‐5 scales. Journal of Personality Assessment, 72, 282 – 307. https://doi.org/10.1207/S15327752JP720212 | |
dc.identifier.citedreference | Rupp, A. A. ( 2003 ). Item response modeling with BILOG‐MG and MULTILOG for Windows. International Journal of Testing, 3, 365 – 384. https://doi.org/10.1207/S15327574IJT0304_5 | |
dc.identifier.citedreference | San Martin, E., del Pino, G., & De Boeck, P. ( 2006 ). IRT models for ability‐based guessing. Applied Psychological Measurement, 30, 183 – 203. https://doi.org/10.1177/0146621605282773 | |
dc.identifier.citedreference | Swaminathan, H., Hambleton, R. K., & Rogers, H. J. ( 2006 ). Assessing the fit of item response theory models. In C. R. Rao & S. Sinharay (Eds.), Handbook of Statistics, Volume 26: Psychometrics (pp. 683 – 715 ). Amsterdam, Netherlands: North‐Holland. | |
dc.identifier.citedreference | Tao, J., Shi, N. Z., & Chang, H. H. ( 2012 ). Item‐weighted likelihood method for ability estimation in tests composed of both dichotomous and polytomous items. Journal of Educational and Behavioral Statistics, 37, 298 – 315. https://doi.org/10.3102/1076998610393969 | |
dc.identifier.citedreference | Tavares, H. R., de Andrade, D. F., & Pereira, C. A. ( 2004 ). Detection of determinant genes and diagnostic via item response theory. Genetics and Molecular Biology, 27, 679 – 685. https://doi.org/10.1590/S1415-47572004000400033 | |
dc.identifier.citedreference | Von Davier, M. ( 2009 ). Is there need for the 3PL model? Guess what? Measurement: Interdisciplinary Research and Perspective, 7, 110 – 114. https://doi.org/10.1080/15366360903117079 | |
dc.identifier.citedreference | Waller, N. G., & Feuerstahler, S. ( 2017 ). Bayesian modal estimation of the four‐parameter item response model in real, realistic, and idealized data sets. Multivariate Behavioral Research, 52, 350 – 370. https://doi.org/10.1080/00273171.2017.1292893 | |
dc.identifier.citedreference | Waller, N. G., & Reise, S. P. ( 2010 ). Measuring psychopathology with nonstandard item response theory models: Fitting the four‐parameter model to the Minnesota Multiphasic Personality Inventory. In S. Embretson (Ed.), Measuring psychological constructs: Advances in model based approaches. Washington, DC: American Psychological Association. | |
dc.identifier.citedreference | Wang, C., Chang, H.‐H., & Douglas, J. A. ( 2013 ). The linear transformation model with frailties for the analysis of item response times. British Journal of Mathematical and Statistical Psychology, 66, 144 – 168. https://doi.org/10.1111/j.2044-8317.2012.02045.x | |
dc.identifier.citedreference | Wang, S., & Wang, T. ( 2001 ). Precision of Warm’s weighted likelihood estimates for a polytomous model in computerized adaptive testing. Applied Psychological Measurement, 25, 317 – 331. https://doi.org/10.1177/01466210122032163 | |
dc.identifier.citedreference | Warm, T. A. ( 1989 ). Weighted likelihood estimation of ability in item response theory. Psychometrika, 54, 427 – 450. https://doi.org/10.1007/BF02294627 | |
dc.identifier.citedreference | Akaike, H. ( 1973 ). Information theory and an extension of the maximum likelihood principle. In B. N. Petrov & F. Csáki (Eds.), Second international symposium on information theory (pp. 267 – 281 ). Budapest, Hungary: Akadémiai Kiadó. | |
dc.identifier.citedreference | Baker, F. B., & Kim, S. H. ( 2004 ). Item response theory: Parameter estimation techniques. New York, NY: Marcel Dekker. | |
dc.identifier.citedreference | Barton, M. A., & Lord, F. M. ( 1981 ). An upper asymptote for the three‐parameter logistic item‐response model (Technical Report No. 80‐20). Princeton, NJ: Educational Testing Service. | |
dc.identifier.citedreference | Béguin, A. A., & Glas, C. A. ( 2001 ). MCMC estimation and some model‐fit analysis of multidimensional IRT models. Psychometrika, 66, 541 – 561. https://doi.org/10.1007/BF02296195 | |
dc.identifier.citedreference | Culpepper, S. A. ( 2016 ). Revisiting the 4‐parameter item response model: Bayesian estimation and application. Psychometrika, 81, 1142 – 1163. https://doi.org/10.1007/s11336-015-9477-6 | |
dc.identifier.citedreference | Culpepper, S. A. ( 2017 ). The prevalence and implications of slipping on low‐stakes, large‐scale assessments. Journal of Educational and Behavioral Statistics, 42, 706 – 725. https://doi.org/10.3102/1076998617705653 | |
dc.identifier.citedreference | de la Torre, J., & Douglas, J. A. ( 2004 ). Higher‐order latent trait models for cognitive diagnosis. Psychometrika, 69, 333 – 353. https://doi.org/10.1007/BF02295640 | |
dc.identifier.citedreference | Feuerstahler, L. M., & Waller, N. G. ( 2014 ). Estimation of the 4‐parameter model with marginal maximum likelihood. Multivariate Behavioral Research, 49, 285. https://doi.org/10.1080/00273171.2014.912889 | |
dc.identifier.citedreference | Hambleton, R. K., & Han, N. ( 2005 ). Assessing the t of IRT models to educational and psychological test data: Ave step plan and several graphical displays. In W. R. Lenderking & D. Revicki (Eds.), Advances in health outcomes research methods, measurement, statistical analysis, and clinical applications. Washington, DC: Degnon Associates. | |
dc.identifier.citedreference | Hambleton, R. K., Swaminathan, H., & Rogers, H. J. ( 1991 ). Fundamentals of item response theory. Newbury Park, CA: Sage. | |
dc.identifier.citedreference | Hambleton, R. K., & Traub, R. E. ( 1973 ). Analysis of empirical data using two logistic latent trait models. British Journal of Mathematical and Statistical Psychology, 24, 273 – 281. https://doi.org/10.1111/j.2044-8317.1973.tb00517.x | |
dc.identifier.citedreference | Liao, W., Ho, R., Yen, Y., & Cheng, H. ( 2012 ). The four‐parameter logistic item response theory model as a robust method of estimating ability despite aberrant responses. Social Behavior and Personality: An International Journal, 40, 1679 – 1694. https://doi.org/10.2224/sbp.2012.40.10.1679 | |
dc.identifier.citedreference | Linacre, J. M. ( 2004 ). Discrimination, guessing and carelessness: Estimating IRT parameters with Rasch. Rasch Measurement Transactions, 18, 959 – 960. https://www.rasch.org/rmt/rmt181b.htm | |
dc.identifier.citedreference | Loken, E., & Rulison, K. L. ( 2010 ). Estimation of a four‐parameter item response theory model. British Journal of Mathematical and Statistical Psychology, 63, 509 – 525. https://doi.org/10.1348/000711009X474502 | |
dc.identifier.citedreference | Lord, F. M. ( 1975 ). Evaluation with artificial data of a procedure for estimating ability and item characteristic curve parameters (Research Memorandum RB‐75‐33). Princeton, NJ: Educational Testing Service. | |
dc.identifier.citedreference | Magis, D. ( 2013 ). A note on the item information function of the four‐parameter logistic model. Applied Psychological Measurement, 37, 304 – 315. https://doi.org/10.1177/0146621613475471 | |
dc.identifier.citedreference | McKinley, R., & Mills, C. ( 1985 ). A comparison of several goodness‐of‐fit statistics. Applied Psychological Measurement, 9, 49 – 57. https://doi.org/10.1177/014662168500900105 | |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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