Latent Partially Ordered Classification Models and Normal Mixtures

Journal of Educational and Behavioral Statistics

Volumn 38, Issue 3, 2013, Pages 267-294

  Tatsuoka, Curtis ^a   Varadi, Ferenc ^b   Jaeger, Judith ^c  

^a CASE WESTERN RESERVE UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b Tanar Software   (United States)

^c ALBERT EINSTEIN COLLEGE OF MEDICINE   (United States)

Author keywords

cognitive diagnosis; Dirichlet process; neuropsychological assessment; nonparametric density estimation; partially ordered sets

Indexed keywords

EID: 84877959156     PISSN: 10769986     EISSN: None     Source Type: Journal    
DOI: 10.3102/1076998612458318     Document Type: Article

References (49)

1. Benton A.,Hamsher K.Multiphasic aphasia examination manual. Iowa City: University Of Iowa; 1978:.
2. Bilder R.,Goldman R.,Robinson D.,Reiter G.,Bell L.,Bates J.,Lieberman J. A.Neuropsychology of first-episode schizophrenia: Initial characterization and clinical correlates.American Journal of Psychiatry. 2000;157:549-559.
3. Blackstone E.Neurologic injury from cardiac surgery-An important but enormously complex phenomenon.Journal of Thoracic and Cardiovascular Surgery. 2000;120:629-631.
4. Brickenkamp R.,Zillmer E.d2 Test of attention. Kirkland, WA: Hogrefe and Huber Publishers; 1998:.
5. Davey B.,Priestley H.Introduction to lattices and order. 2002). Introduction to lattices and order (2nd ed.). Cambridge, UK: Cambridge University Press.Cambridge, UK: Cambridge University Press; 2002:.
6. De la Torre J.A cognitive diagnosis model for cognitively based multiple-choice options.Applied Psychological Measurement. 2009;33:163-183.
7. Effects of intensive diabetic therapy on neuropsychological function in adults in the diabetes control and complications trial.Annals of Internal Medicine. 1996;124:379-388.
8. Escobar M.Estimating normal means with a Dirichlet process prior.Journal of the American Statistical Association. 1994;89:268-277.
9. Escobar M.,West M.Bayesian density estimation and inference using mixtures.Journal of the American Statistical Association. 1995;90:577-588.
10. Falmagne J.-C.,Koppen M.,Villano M.,Doignon J.-P.,Johannesen L.Introduction to knowledge spaces: How to build, test, and search them.Psychological Review. 1990;97:201-224.
11. Ferguson T.A Bayesian analysis of some nonparametric problems.The Annals of Statistics. 1973;1:209-230.
12. Ferguson T.Prior distributions on spaces of probability measures.The Annals of Statistics. 1974;2:615-629.
13. Ferguson T.Recent advances in statistics. Rizvi M.Rustagi J.Seigmund D., ed. New York, NY: Academic Press; 1983:287-302.
14. Geweke J.Bayesian statistics. Bernardo J. M.Berger J.Dawid A. P.Smith A. F. M., ed. Oxford, England: Oxford University Press; 1992:.
15. Green M.,Nuechterlein K.The MATRICS initiative: Developing a consensus cognitive battery for clinical trials.Schizophrenia Research. 2004;72:1-3.
16. Gold J.,Carpenter C.,Randolph C.,Goldberg T.,Weinberger D.Auditory working memory and Wisconsin card sorting test performance in schizophrenia.Archives of General Psychiatry. 1997;54:159-165.
17. Grant D.,Berg E.A behavioral analysis of degree of reinforcement and ease of shifting to new responses in a Weigl-type card-sorting problem.Journal of Experimental Psychology. 1995;38:404-411.
18. Haertel E. H.Using restricted latent class models to map the skill structure of achievement items.Journal of Educational Measurement. 1989;26:301-321.
19. Heaton, R. K. (1981). The Wisconsin Card Sorting Test Manual. Odessa, NY: Psychological Assessment Resources.
20. Heaton R. K.,Gladsjo J. A.,Palmer B. W.,Kuck J.,Marcotte T. D.,Jeste D. V.Stability and course of neuropsychological deficits in schizophrenia.Archives of General Psychiatry. 2001;58:24-32.
21. Ip E.Adjusting for information inflation due to local dependency in moderately large item clusters.Psychometrika. 2000;65:73-91.
22. Ishwaran H.,James L.Approximate Dirichlet process computing in finite normal mixtures: Smoothing and prior Information.Journal of Computational and Graphical Statistics. 2002;11:1-26.
23. Ishwaran H.,Zarepour M.Markov chain Monte Carlo in approximate Dirichlet and beta two-parameter process hierarchical models.Biometrika. 2000;87:371-390.
24. Jaeger J.,Czobor P.,Berns S.Basic neuropsychological dimensions in schizophrenia.Schizophrenia Research. 2003;65:105-116.
25. Jaeger J.,Tatsuoka C.,Berns S.,Varadi F.Distinguishing neurocognitive functions using partially ordered classification models.Schizophrenia Bulletin. 2006;32:679-691.
26. Jaeger J.,Tatsuoka C.,Berns S.,Varadi F.,Czobor P.,Uzelac S.Associating functional recovery with neurocognitive profiles identified using partially ordered classification models.Schizophrenia Research. 2006;85:40-48.
27. Junker B. W.,Sijtsma K.Cognitive assessment models with few assumptions and connections with nonparametric item response theory.Applied Psychological Measurement. 2001;25:258-272.
28. Kuo L.Computations of mixtures of Dirichlet processes.SIAM Journal of Scientific and Statistical Computing. 1986;7:60-71.
29. Lerner A.,Tseng H.-Y.,Jaeger J.,Tatsuoka C.Predicting conversion from MCI to AD using partially ordered models of cognitive functioning. 2009:.
30. Liu J.Nonparametric hierarchical Bayes via sequential imputations.Annals of Statistics. 1996;24:911-930.
31. MacEachern S.,Muller P.Estimating mixtures of Dirichlet process models.Journal of Computational and Graphical Statistics. 1998;2:223-238.
32. McAuliffe J.,Blei D.,Jordan M.Nonparametric empirical Bayes for the Dirichlet process mixture model.Statistics and Computing. 2006;16:5-14.
33. Meulders M.,Ip E.,De Boeck P.Latent variable models for partially ordered responses and trajectory analysis of anger-related feelings.British Journal of Mathematical and Statistical Psychology. 2005;58:117-143.
34. Neal R.Markov chain sampling methods for Dirichlet process mixture models.Canadian Journal of Statistics. 2000;26:249-265.
35. Newman M.,Kirchner J.,Philips-Bute B.,Gaver V.,Grocott H.,Jones R.Longitudinal assessment of neurocognitive function after coronary artery bypass surgery.New England Journal of Medicine. 2001;344:395-402.
36. Petersen R.,Thomas R. G.,Grundman M.,Bennett D.,Doody R.,Ferris S.Vitamin E and donepezil for the treatment of mild cognitive impairment.New England Journal of Medicine. 2005;352:2379-2388.
37. Reitan R.Trail making test manual for administration and scoring. Indianapolis, IN: Neuropsychological Laboratory, Indianapolis Medical Centre; 1969:.
38. Reitan R.,Davidson L.Clinical neuropsychology: Current status and applications. New York, NY: Hemisphere; 1974:.
39. Rindskopf D.Using latent class analysis to test developmental models.Developmental Review. 1987;7:66-85.
40. Saykin A.,Gur R. C.,Gur R. E.,Mozley D.,Mozley L.,Resnick S.,Stafiniak P.Neuropsychological function in schizophrenia: Selective impairment in memory and learning.Archives of General Psychiatry. 1991;48:618-624.
41. Sethuraman J.A constructive definition of Dirichlet priors.Statistica Sinica. 1994;4:639-650.
42. Sethuraman J.,Tiwari R.Convergence of Dirichlet measures and the interpretation of their parameters.Statistical Decision Theory and Related Topics. 1982;III (2): 305-315.
43. Tatsuoka C.Sequential classification on partially ordered sets. Ithaca, NY: Cornell University; 1996:.
44. Tatsuoka C.Data analytic methods for latent partially ordered classification models.Applied Statistics. 2002;51:337-350.
45. Tatsuoka C.Diagnostic models as partially ordered sets.Measurement. 2009;7:49-53.
46. Tatsuoka C.,Ferguson T.Sequential classification on partially ordered sets.Journal of the Royal Statistical Society Series B. 2003;65:143-157.
47. Tatsuoka K.Boolean algebra applied to determination of the universal set of misconception states. Princeton, NJ: Educational Testing Services; 1991:.
48. Tatsuoka K.Cognitively diagnostic assessments. Nichols P.Chipman S.Brennan R., ed. Hillsdale, NJ: Lawrence Erlbaum; 1995:327-359.
49. Tatsuoka K.Cognitive assessment: An introduction to the rule space method. New York, NY: Routledge; 2009:.