Abstract
Several studies have shown that spatial working memory is impaired in schizophrenia patients. In our study, schizophrenia patients and normal controls participated in a memory test designed to measure both spatial and object working memory. Standard analyses were inappropriate because the test items had differing levels of difficulty. To account for this problem, the data were analyzed using a Bayesian Bivariate Item Response Theory (BBIRT) model. Item response theory is a method for analyzing test scores in which the test items themselves are parameterized in addition to the test-takers’ abilities. Analyzing the data in this way accounts for the fact that the questions were not all equally difficult, and also produces results which are more generalizable and less test-dependent. The analysis was carried out using Gibbs sampling, a Markov Chain Monte Carlo technique which improves upon standard EM methods for IRT models by producing standard error estimates which more accurately represent uncertainty about the parameters.
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References
Attneave, F., and Arnoult, M.D. (1956). Methodological considerations in the quantitative study of shape and pattern perception.Psychological Bulletin53, 452–471.
Baker, F.B. (1992).Item Response Theory. Marcel Dekker, Inc. New York.
Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee’s ability. In F.M. Lord and M.R. Novick (Eds.),Statistical theories of mental test scores, 395–479. Reading, MA: Addison- Wesley.
Bock, R.D., and Aitken, M. (1981). Marginal maximum likelihood estima¬tion of item parameters: Application of an EM algorithm.Psychometrika46, 443–459.
Dempster, A., Laird, N., and Rubin, DB. (1977). Maximum Likelihood Estimation from Incomplete Data Using the EM Algorithm.Journal of the Royal Statistical Society, SeriesB, 39, 1–38 (with discussion).
Fisher, R.A. (1921). On the probable error of a correlation coefficient. Reprinted inCollected Papers of R.A. Fisher, Vol. I (1971) (ed. J.H. Bennet). University of Adelaide Press, Adelaide, South Australia.
Gelman, A., Carlin, J., Stern, H., and Rubin, D.B. (1995).Bayesian Data Analysis. Chapman and Hall, London.
Gelman, A. and Rubin, D.B. (1992). Inference from iterative simulation using multiple sequences (with discussion).Statistical Science7, 457–511.
Geman, S. and Geman, D. (1984). Stochastic relaxation, Gibbs distribu-tions, and the Bayesian restoration of images,IEEE Transactions on Pattern Analysis and Machine Intelligence6, 721–741.
Hirsch, SR., and Weinberger, DR. (1995).Schizophrenia. Blackwell Science Ltd. Oxford.
Keefe, R.S.E., Lees Roitman, S.E., Harvey, P.D., Blum, C.S., DuPre, R.L., Prieto, D.M., Davidson, M., and Davis, K.L. (1995). A pen-and-paper human analogue of a monkey prefrontal cortex activation task: spatial working memory in patients with schizophrenia.Schizophrenia Research17, 25–33.
Levy, D.L., Holzman, P.S., Matthysse, S., and Mendell, N.R. (1993). Eye tracking and schizophrenia: A critical perspective.Schizophrenia Bulletin19, 461–536.
Lord, F.M. (1952). A Theory of Test Scores.Psychometric Monographs, No. 7.
Lord, F.M. (1980). Applications of item response theory to practical testing problems. Hillsdale, New Jersey: Erlbaum.
Park, S. and Holzman, P.S. (1992). Schizophrenics show spatial working memory deficits.Archives of General Psychiatry49, 975–982.
Patz, R. J., and Junker, B.W. (1999). A Straightforward Approach to Markov Chain Monte Carlo Methods for Item Response Models.Journal of Educational and Behavioral Statistics24, 146–178.
Rasch, G. (1961). On general laws and the meaning of measurement in psychology.Proceedings of the IV Berkeley Symposium on Mathematical Statistics and Probability4, 321–333. Berkeley, CA: University of California.
Rubin, D.B. (1976). Inference and missing data. Biometrika 63, 581–592.
Rubin, D.B. (1987).Multiple Imputation for Nonresponse in Surveys. New York: Wiley.
Smith, E.E. and Jonides, J. (1994). Working memory in humans: Neuropsychological evidence. In M. Gazzaniga (Ed.), The cognitive sciences 1009–1020. Cambridge: MIT Press.
Smith, E.E., Jonides, J., and Koeppe, R.A. (1996). Dissociating verbal and spatial working memory using PET.Cerebral Cortex6, 11–20.
Smith, E.E., Jonides, J., Koeppe, R.A., Awh, E., Schumacher, E.H., and Minoshima, S. (1995). Spatial versus object working memory: PET investigations.Journal of Cognitive Neuroscience7 (3), 337–356.
Spiegelhalter, D.J., Thomas, A., Best, N.G., and Gilks, W.R. (2000). Win- BUGS Version 1.3 User Manual. MRC Biostatistics Unit.
Tsutakawa, R.K., and Soltys, M.J. (1988). Approximation for Bayesian ability estimation.Journal of Educational Statistics. 13, 117–130.
Tucker, L. (1946). Maximum validity of a test with equivalent items.Psychometrika11, 1–13.
van der Linden, W.J., and Hambleton, R.K. (Eds.) (1997).Handbook of modern item response theory. New York: Springer-Verlag.
Vanderplas, J.M., and Garvin, E.A. (1959). The association value of random shapes.Journal of Experimental Psychology57 (3), 147–154.
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Cook, S. et al. (2002). Working Memory Impairments in Schizophrenia Patients: A Bayesian Bivariate IRT Analysis. In: Gatsonis, C., et al. Case Studies in Bayesian Statistics. Lecture Notes in Statistics, vol 167. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2078-7_8
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DOI: https://doi.org/10.1007/978-1-4612-2078-7_8
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