William H. BatchelderProfessor, Cognitive Sciences 

Research Interests 
Mathematical Models and Measurement Methods in the Social and Behavioral Sciences  
URL  www.cogsci.uci.edu/personnel/batchelder/batchelder.html  
Academic Distinctions 
196265 NDEA Fellowship 196566 NIH Fellowship 1969 "Outstanding Teaching Award" University of Illinois 1970 National Chess Master, 1979 Life Master, United States Chess Federation, 1982 Senior Master United States Chess Federation 198990 President Society for Mathematical Psychologists 1994 Lauds and Laurels Award for Distinguished Research at UCI 1997 Elected to Society of Experimental Psychologists 2007 First Guest Professor on the Revesz Chair in Psychology at University of Amsterdam 

Appointments 
196670 Assistant Professor Psychology, Department of Psychology University of Illinois (Urbana) 1970 Visiting Lecturer, Department of Psychology University of Wisconsin (Madison) 197175 Associate Professor, School of Social Sciences University of California Irvine 1976 Professor Cognitive Sciences University of California Irvine 197478 Faculty Chairperson, School of Social Sciences University of California, Irvine 1977 On Sabbatical Leave. Institute of Mathematical Studies in the Social Sciences, Stanford University 198690 Chair, Mathematical Social Science 1990 Acting Chair, Department of Cognitive Sciences 1995 Visiting Professor ICS and Department of Statistics, University of Groningen, The Netherlands 199803 Director, Institute for Mathematical Behavioral Sciences UCI 2001 Visiting Professor, Santa Fe Institute 2007 Visiting Révész Professor Department of Psychology University of Amsterdam 

Research Abstract 
Many areas in the psychological and social sciences have advanced by the development of formal methods and theories. My research has been in the development of formalism in several of these areas. Among my recent projects are: (1) developing formal measurement methods to access dynamically changing ability in cognitive skills, such as chess; (2) developing and testing statistical models of learning and memory phenomena that permit the measurement of unobservable cognitive processes; (3) contributing to the foundation of social network theory; (4) developing and testing measurement methods for anthropological fieldwork that permit one to simultaneously calibrate the competency of informants and to aggregate the information they provide to determine their normative cultural knowledge. Students who work with me generally have strong backgrounds and interests in mathematics, statistics, philosophy, and the information sciences  
Publications  France, S. L., Vaghefi, M. S., and Batchelder, W. H. (In Press). Flex:CCT:A methodological framework and software for rating analysis and Wisdom of Crowd applications. IEEE Transactions of Computational Social Systems.  
France, S. L., Vaghefi, M. S., and Batchelder, W. H. (In Press). Flex:CCT:A methodological framework and software for rating analysis and Wisdom of Crowd applications. IEEE Transactions of Computational Social Systems.  
Anders, R., Alario, F.X., and Batchelder, W. H. (In Press). Consensus analysis for populations with latent subgroups: applying multicultural consensus theory and model based clustering with CCT pack. Cross Cultural Research. Online First Publications. DOI: 10.1177/1069397117727500, pp. 135.  
Heshmati, S., Oravecz, Z., Pressman, S., Batchelder,m W. H., Muth, C., and Vandekerckhove, J. (In Press). What does it mean to feel loved: Cultural consensus and individual differences on fely love. Journal of Personal Relations. Online First Publications,. https//doi/10.1177/0265407517724600.  
Kellen, D., Singmann, H., and Batchelder, W. H. (In Press). Classicprobability accounts of mirrored (Quantumlike) order effects in human judgments. Decision, Online First Publications, https://dx.doi.org/dec0000080.  
Batchelder, W. H., Anders, R., and Oravecz, Z. (2018). Cultural Consensus Theory. In E.J.Wagenmakers(Volume Ed.) Wixted, J. (Ed. in Chief). Stevens Handbook of Experimental Psychology and Cognitive Neuroscience, Vol. 5. Methodology, 4th Edition.Hobenken, N.J.: Wiley, pp. 201264.  
Batchelder, W. H. (2017). Discrete state moidels of cognition. In W. H. Batchelder, H. Colonius, E. N. Dzhafarov, and J. Myung (Eds). New handbook of Mathematical Psychology. Vol. 1. Foundations and Methodology. Cambridge U.K.: Cambridge University Press, pp. 454503.  
Boyd, J. P., and Batchelder, W. H. (2017). Network analysis. In W. H. Batchelder, H. Colonius, E. N. Dzhafarov, and J. Myung (Eds.). New Handbook of Mathematical Psychology, Vol. 1. . Foundations and Methodology. Cambridge U.K.: Cambridge University Press, pp. 194273.  
Alexander, G. E., Satalich, T. A., Shankle, W. R., and Batchelder, W. H. (2016). A cognitive model for psychodiagnostic assessment of memory related deficits. Psychological Assessment, 28, 279293.  
Batchelder, W. H. (2016). Cognitive psychometrics. In J. W. Haupt, L. M. Blaha(Eds.). Mathematical Models of Perception and Cognition. Vol. 1. New York: Psychology Press, pp. 245166.  
Batchelder, W. H. (w2016). Cognitive psychometrics. In J. W. Haupt, L. M. Blaha(Eds.). Mathematical Models of Perception and Cognition. Vol. 1. New York: Psychology Press, pp. 245166.  
Batchelder, W. H., Colonius, H., and Dzhafarov, E. N. (Eds.) (In Press). New Handbook of Mathematical Psychology, Vol. 2. Modeling and Measurement. Cambridge, U.K.: Cambridge University Press.  
Batchelder, W. H., Colonius,H. Dzhafarov,E. N., and Myung, J.(Eds.) (2017). New Handbook of Mathematical Psychology, Vol.1. Foundations and Methodology. Cambridge U.K.: Cambridge University press.  
France, S. L., and Batchelder, W. H. (2014). Unsupervised consensus analysis for online review and questionnaire data. Information Sciences, 283, 241257.  
Batchelder, W. H. (2014). A tribute to William K. Estes (19192011). Journal of Mathematical Psychology, 59, 35.  
Batchelder, W. H. (2015). Discrete state models of information processing. In J. D. Wright (Ed.). Encyclopedia of Social and Behavioral Sciences. Second Edition. Vol. 6. Oxford: Elsevier, pp 523329.  
Batchelder, W. H. (2015). Discrete state models of information processing. In J. D. Wright (Ed.). Encyclopedia of Social and Behavioral Sciences. Second Edition. Vol. 6. Oxford: Elsevier, pp 523329.  
Batchelder, W. H. (2015). Mathematical Psychology: History. In J. D. Wright (Ed.) Encyclopedia of Social and Behavioral Sciences, Second Edition, Vol.6. Oxford Elseview, pp. 808815.  
Oravecz, Z., Faust, K., Levitis, D. A., and Batchelder, W. H. (2015). Studying the existence and attributes of consensus in definitions of psychological concepts by a cognitive psychometric model. American Journal of Psychology, 128, 6175.  
Anders, R., Oravecz, Z., & Batchelder, W. H. (2014). Cultural Consensus Theory for Continuous Responses: A Latent Appraisal Model for Information Pooling. Journal of Mathematical Psychology, 61, 113.  
France, S. L., & Batchelder, W. H. (2015). Maximum likelihood item easiness models for test theory without an answer key. Educational and Psychological Measurement, 75, 5777.  
Oravecz, Z., Faust, K., & Batchelder, W. H. (2014). An extended Cultural Consensus Theory model to account for cognitive processes in decision making in social surveys. Sociological Methodology, 26, 185228.  
Oravecz, Z., Vandekerckhove, J., & Batchelder, W. H. (2014). Bayesian Cultural Consensus Theory. Field Methods, 26, 207222.  
Anders, R., & Batchelder, W. H. (2015) Cultural Consensus Theory for the ordinal data case. Psychometrika,80, 151195.  
Oravecz, Z., Anders, R., & Batchelder, W. H. (2015). Hierarchical Bayesian modeling for test theory without an answer key. Psychometrika, 80, 341364.  
Matzke, D., Dolan, C., Batchelder, W. H., & Wagenmakers, E. J.(2015). Bayesian estimation of multinomial processing tree models with heterogeneity in participants and items. Psychometrika, 80, 205235.  
Batchelder, W. H., & Alexander, G. E. (2013). Discretestate models: Comments on Pazzaglia, Dube, and Rotello. Psychological Bulletin,139, 12041212.  
Batchelder, W. H., Hu, X., & Riefer, D. M. (2013). Multinomial Modeling. In H.Pashler (Ed.). Encyclopedia of Mind. (pp.538541). Sage Publications Inc.  
Agrawal, K., & Batchelder, W. H. (2012). Cultural consensus theory: Aggregating signed graphs under a balance constraint. In S. J. Yang, A. M. Greenberg, & M. Endsley (Eds.). Social Computing, BehavioralCultural Modeling, and Prediction. LNCS 7227 (pp. 5360). New York Springer Verlag.  
Batchelder, W. H., & Anders, R. (2012). Cultural consensus theory: Comparing different concepts of cultural truth. Journal of Mathematical Psychology, 56, 316332.  
Anders, R., & Batchelder, W. H. (2012) Cultural consensus theory for multiple consensus truths. Journal of Mathematical Psychology, 56, 452469.  
Batchelder, W. H., & Alexander, G. E. (2012).Insight problem solving: A critical examination. Journal of Problem Solving, 5, 56100.  
Gosti, G., & Batchelder, W. H. (2011). Naming on a directed Graph. In J. J. Salerno, J. Y. Shanchieh, D. S. Nau, & S. K. Chai, Social Computing BehavioralCultural Modeling and Prediction LNCS 6589 (pp. 358365). New York: Springer.  
Batchelder, W. H. (2010). Mathematical Psychology. In L. Nadel (Ed.). Wiley Interdisciplinary Reviews: Cognitive Sciences. New York Wiley, pp. 759765.  
Batchelder, W. H., Strashny, A., & Romney, A. K. (2010). Cultural Consensus Theory: Aggregating Continuous Responses in a Finite Interval. In S. K. Chai, J. J. Salemo, & P. L. Mabry, Social Computing, Behavioral Modeling and Prediction 2010 (pp. 98107). New York: Springer.  
Wu, H., Myung, J. I., & Batchelder, W. H. (2010). On the Minimum Description Length Complexity of Multinomial Processing Tree Models. Journal of Mathematical Psychology , 54, 291303.  
Wu, H., Myung, J. I., & Batchelder, W. H. (2010). Minimum Description Length Model Selection of Multinomial Processing Tree Models. Psychonomic Bulletin and Review , 17, 275286.  
Smith, J. B., & Batchelder, W. H. (2010). BetaMPT: Multinomial Processing Tree Models for Addressing Individual Differences. Journal of Mathematical Psychology , 54, 167183.  
Schmittmann, V. D., Dolan, C. V., Raijmakers, M. E., & Batchelder, W. H. (2010). Parameter Identification in Multinomial Processing Tree Models. Behavior Research Methods , 42, 836846.  
Batchelder, W. H. (2010). Mathematical Psychology. In L. Nadel, Wiley Interdisciplinary Reviews: Cognitive Science (pp. 759765). New York: Wiley.  
Purdy, B., & Batchelder, W. H. (2009). A Contextfree Language for Binary Multinomial Processing Tree Models. Journal of Mathematical Psychology , 53, 547561.  
Batchelder, W. H., Hu, X., & Smith, J. B. (2009). Multinomial Processing Tree Models for Discrete Choice. Special Issue on New Developments in Multinomial Process Tree Modeling. Zeitschrift fur Psychologie , 217, 149158.  
Batchelder, W. H. (2009). Cultural Consensus Theory: Aggregating Expert Judgments about Ties in a Social Network. In H. Liu, J. Salemo, & M. J. Young, Social Computing, Behavioral Modeling and Prediction (pp. 2432). New York: Springer.  
Batchelder, W. H. (2009). Cognitive Pscyometrics: Using Multinomial Processing Tree Models as Measurement Tools. In S. E. Embretson, Measuring Psychological Constructs: Advances in Model Based Measurement (Ch.4). Washington D.C.: American Psychological Association Books.  
Batchelder, W. H., & Batchelder, E. (2008). Metacognitive Guessing Strategies in Source Monitoring. In J. Dunlosky, & R. A. Bjork, Handbook of Metamemory and Memory (pp. 211244). LEA Books.  
Smith, J. B., & Batchelder, W. H. (2008). Assessing Individual Differences in Categroical Data. Psychonomic Bulletin and Review , 15, 713730.  
Grants  "Research in the Foundations and Practice of Social measurement" NSF, 20022005 (with A.K. Romney, CoPI)  
"Developing Culturally Appropriate Screening Tools for Dementia" Alzheimer's Association, 200306 (with Ece Batchelder, CoPI)  
"Multinomial Processing Tree Models: New Projects and Implementations" NSF, 200610, (with Xiangen Hu, CoPI)  
"Statistical Development and Application of Cultural Consensus Theory" Air Force Office of Scientific Research, 200911  
"Statistical Inference for Cultural Consensus Theory" Army Research Office 201013  
Fellowship from Oakridge Institute for Science and Education (ORISE) 201213  
Fellowship from Oakridge Institute for Science and Education (ORISE) 201314  
A formal modeling framework for the dynamics of subjective wellbeing., including satisfaction with interpersonal relationships. 20142017.  
Statistical extensions and new applications of Cultural Consensus Theory. National Science Foundation Grant (1534471) 20152018.  
Professional Societies 
American Statistical Association Psychonomic Society Psychometric Society Society of Experimental Psychologists Society for Mathematical Psychology 

Other Experience  
Senior Master United states Chess federation 1982 

Graduate Programs 
Psychology Mathematical Behavioral Science 

Research Center  Institute for Mathematical Behavioral Sciences  
Link to this profile  http://www.faculty.uci.edu/profile.cfm?faculty_id=2574  
Last updated  03/13/2018  