William Batchelder

Selected Publications

Books (and Monographs)

Batchelder, W. H., Bjork, R. A., and Yellott, J. I., Jr. Problems in Mathematical Learning Theory. New York: Wiley, 1966 (184pp.).

Professional Journal Articles and Book Chapters

Batchelder, W. H. An all-or-none theory for learning on both the paired-associate and concept levels. Journal of Mathematical Psychology, 1970, 7, 97-117.

Batchelder, W. H. A theoretical and empirical comparison of the all-or-none multi-level theory and the mixed model. Journal of Mathematical Psychology, 1971, 8, 82-108.

Bray, N. W. and Batchelder, W. H. Effects of instructions and retention interval on memory of presentation mode. Journal of Verbal Learning and Verbal Behavior, 1972, 11, 367-374.

Batchelder, W. H. Individual differences and the all-or-none vs. incremental learning controversy. Journal of Mathematical Psychology, 1975, 12, 53-74.

Batchelder, W. H. and Narens, L. A critical examination of the analysis of dichotomous data. Philosophy of Science, 1977, 4, 113-135.

Batchelder, W. H. Mathematical models in experimental psychology. In B. B. Wolman (editor) International Encyclopedia of Neurology, Psychiatry, Psychoanalysis, and Psychology, Vol. 7, New York: Van Nostrand, 1977, pp. 55-61.

Batchelder, W. H. and Wexler, K. Suppes work in the foundations of Psychology. In R. J. Bogdan (editor) Profiles--an International Series on Contemporary Philosophers and Logicians: Patrick Suppes. Dordrecht-Holland: Reidel, 1979, pp. 149-186.

Batchelder, W. H. and Bershad, N. J. The statistical analysis of a Thurstonian model for rating chess players. Journal of Mathematical Psychology, 1979, 19, 39-60.

Batchelder, W. H. and Riefer, D. M. Separation of storage and retrieval factors in free recall of clusterable pairs. Psychological Review, 1980, 87, 375-397.

Lefebvre, V. and Batchelder, W. H. The nature of Soviet mathematical psychology. Journal of Mathematical Psychology, 1981, 23, 153-183.

Batchelder, W. H. and Lefebvre, V. A mathematical analysis of a natural class of partitions of a graph. Journal of Mathematical Psychology, 1982, 26, 124-148.

Batchelder, W. H. Cognitive psychology and individual decision making. In B. Grofman and G. Owen (Eds.) Information Pooling and Group Decision Making: Proceedings of the Second University of California, Irvine Conference on Political Economy. Greenwich, Conn.: JAI Press, Inc., 1986.

Batchelder, W. H. and Romney, A. K. The statistical analysis of a general Condorcet model for dichotomous choice situations. In B. Grofman and G. Owen (Eds.) Information Pooling and Group Decision Making: Proceedings of the Second University of California, Irvine Conference on Political Economy. Greenwich, Conn.: JAI Press, Inc., 1986, 103-112.

Romney, A. K., Weller, S. C., and Batchelder, W. H. Culture as consensus: A theory of culture and informant accuracy. American Anthropologist, 1986, 88, 313-338.

Batchelder, W. H. and Riefer, D. M. The statistical analysis of a model for storage and retrieval processes in human memory. British Journal of Mathematical and Statistical Psychology, 1986, 39, 129-149.

Batchelder, W. H. Comment on some critical issues in Lefebvre's framework for ethical cognition and reflexion. Journal of Social and Biological Structures, 1987, 10, 214-226.

Romney, A. K., Batchelder, W. H., and Weller, S. C. Recent applications of cultural consensus theory. American Behavioral Science, 1987, 31, 163-177.

Batchelder, W. H. and Romney, A. K. Test theory without an answer key. Psychometrika, 1988, 53, 71-92.

Romney, A. K., Weller, S. C., and Batchelder, W. H. Interpreting consensus: A reply to Price. American Anthropologist, 1988, 90, 161-163.

Riefer, D. M. and Batchelder, W. H. Multinomial modeling and the measurement of cognitive processes. Psychological Review, 1988, 95, 318-339.

Batchelder, W. H., Inferring meaningful global network properties from individual actor's measurement scales. In. L. C. Freeman, D. R. White, & A. K. Romney (Eds.). Research Methods in Social Network Analysis. Fairfax, VA: George Mason University Press, 1989, 88-134.

Batchelder, W. H. and Simpson, R. S. Rating systems for human abilities: the case of rating chess skill. UMAP Modules in Undergraduate Mathematics and its Applications: Module 698. Arlington, MA: COMAP, Inc. 1989, 1-22.
Reprinted in P. J. Campbell (Ed.). UMAP Modules: Tools for Teaching 1988. Arlington, MA: COMAP, Inc., 1989, 289-314.

Batchelder, W. H. and Romney, A. K. New results in test theory without an answer key. In. E. E. Roskam (Ed.). Mathematical Psychology in Progress. Heidelberg: Springer-Verlag, 1989, 229-248.

Batchelder, W. H. Some critical issues in Lefebvre's framework for ethical cognition and reflexion. In H. Wheeler (Ed.) The Structure of Human Reflexion: The Reflexional Psychology of Vladimir Lefebvre. New York: Peter Lang Publishing, 1989, 139-156.

Batchelder, W.H. and Riefer, D.M. Multinomial processing models of source monitoring. Psychological Review, 1990, 97, 548-564.

Riefer, D.M. and Batchelder, W.H. Statistical inference for multinomial processing tree models. In Jean-Paul Doignon & Jean-Claude Falmagne (Eds.). Mathematical Psychology: Current Developments. New York: Springer-Verlag, 1991, 313-335.

Brewer, D.D., Romney, A.K. & Batchelder, W.H. Consistency and consensus: a replication. Journal of Quantitative Anthropology, 1991, 3, 195-205.

Riefer, D.M. & Batchelder, W.H. Age differences in storage and retrieval: a multinomial modeling analysis. Bulletin of the Psychonomic Society, 1991, 29, 415-418.

Batchelder, W. H., Bershad, N. J., and Simpson, R. S. Dynamic paired-comparison scaling. Journal of Mathematical Psychology, 1992, 36, 185-212.

Romney, A.K., Brewer, D.D., and Batchelder, W.H. Predicting clustering from semantic structure. Psychological Science, 1993, 4, 28-34.

Batchelder, W.H., Riefer, D.M., and Hu, X. Measuring memory factors in source monitoring: Reply to Kinchla. Psychological Review, 1994, 101, 172-176.

Hu, X. and Batchelder, W.H. The statistical analysis of general processing tree models with the EM algorithm. Psychometrika, 1994, 59, 21-47.

Riefer, D.M., Hu, X., and Batchelder, W.H. Response strategies in source monitoring. Journal of Experimental Psychology: Learning, Memory, and Cognition, 1994, 20, 680-693.

Batchelder, W.H., Hu, X., and Riefer, D.M. Analysis of a model for source monitoring. In G.H. Fischer and D. Laming (Eds.) Contributions to Mathematical Psychology, Psychometrics, and Methodology. New York: Springer Verlag, 1994, 51-65.

Kumbasar, E., Romney, A.K., and Batchelder, W.H. Systematic biases in social perception. American Journal of Sociology, 1994, 100, 477-505.

Romney, A.K., Batchelder, W.H., and Brazill, T. Scaling in Semantic Domains. In M. D'Zmura, G. Iverson, R.D. Luce, and A.K. Romney (Eds.) Geometric Representations of Perceptual Phenomena: Papers in Honor of Tarow Indow's 70th Birthday. NJ: Lawrence Erlbaum Associates, Inc., 1995, 267-294.

Crowther, C.S., Batchelder, W.H., and Hu, X. A measurement-theoretic analysis of the fuzzy logic model of perception. Psychological Review. 1995, 102, 396-408.

Riefer, D.M., and Batchelder, W.H. A multinomial modeling analysis of the recognition-failure paradigm. Memory Cognition, 1995, 23, 611-630.

Brazill, T.J., Romney, A.K., and Batchelder, W.H. A comparison of methods for collecting judged similarities among items in a semantic domain. Journal of Quantitative Anthropology, 1995, 15, 359-374.

Klauer, K.C., and Batchelder, W.H. Structural analysis of subjective categorical data. Psychometrika, 1996, 61, 199-239.

Romney, A.K. Boyd, J.P., Moore, C.C., Batchelder, W.H., and Brazill, T.J. Culture as shared cognitive representations. Proceedings of the National Academy of Sciences. 1996, 93, 4699-4705.

Romney, A.K., Brewer, D.D., and Batchelder, W.H. The relation between typicality and semantic similarity structure. Journal of Quantitative Anthropology, 1996, 6, 1-14.

Batchelder, W.H., Kumbasar, E., and Boyd, J.P. Consensus analysis of three-way social network data. Journal of Mathematical Sociology, 1997, 22, 29-58.

Batchelder, W.H., and Crowther, C.S. Multinomial processing tree models of factorial categorization. Journal of Mathematical Psychology, 1997, 41, 45-55.

Batchelder, W.H., Chosak-Reiter, J., Shankle, W.R., and Dick, M.B. A multinomial modeling analysis of memory deficits in Alzheimer's and Vascular Dementia. Journal of Gerontology: Psychological Sciences, 1997, 52B, 206-215.

Rouder, J.N. and Batchelder, W.H. Multinomial models for measuring storage and retrieval processes in paired-associate learning. In C. Dowling, F. Roberts, and P. Theuns (Eds.) Recent Progress in Mathematical Psychology. Hillsdale, NJ: Lawrence Erlbaum, 1998, 195-225.

Batchelder, W.H. Multinomial processing tree models and psychological assessment. Psychological Assessment, 1998, 10, 331-344.

Romney, A.K. and Batchelder, W.H. In R. Wilson and F. Keil (Eds.). Cultural consensus theory. The MIT Encyclopedia of the Cognitive Sciences. Cambridge, Mass.: The MIT Press, 1999, 208-209.

Batchelder, W.H. and Riefer, D.M. Theoretical and empirical review of multinomial processing tree modeling. Psychonomic Bulletin & Review, 1999, 6, 57-86.

Batchelder, W.H. Contemporary mathematical psychology. Review of Choice, Decision, and Measurement: Essays in Honor of R. Duncan Luce, edited by A.A.J. Marley. Journal of Mathematical Psychology, 1999, 43, 172-187.

Professional Journal Articles and Book Chapters (in press)

Batchelder, W.H. Multinomial processing tree models of cognition. In W. Hacker (Ed.). Bericht über den 41. Kongress der Deutschen Gessellschaft für Psychologie in Dresden. Lengerich, Germany: Pabst Science Publishing, forthcoming.

Batchelder, W.H., Burigana, L., Cristante, F., & Suck, R. Foreword to Special Issue: European Mathematical Psychology Group: Selected papers from the Padua meeting. Mathematical Social Sciences, forthcoming.