Abstract
This paper discusses some recent developments in a new methodology for the social sciences being developed jointly by the authors. The methodology is called cultural consensus analysis, and it is designed to aggregate informant responses to test items about their common culture. The object is to determine correct knowledge about the nature of that culture. Our methods estimate informant competency parameters and “correct” answers to each item from the informant response data. The methodology is designed for anthropological field studies and related research designs. This paper studies the consequences of relaxing the axioms of our model for dichotomous items, and it presents new models for other testing formats.
Work on this paper was supported by NSF Grant No. SES-8808358 to the authors.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Batchelder, W.H. & Romney, A.K. (1986). The statistical analysis of a general Condorcet model for dichotomous choice situations. In B. Grofman & G. Owen (Eds.) Information Pooling and Group Decision Making. Greenwich, CN: JAI Press.
Batchelder, W.H. amp Romney, A.K. (1988). Test theory without an answer key. Psychometrika, 53, 193–224.
Clogg, C.C. (1981). New developments in latent structure analysis. In D.M. Jackson & E.F. Borgatta (Eds.) Factor Analysis and Measurement in Sociological Research. Beverly Hills, CA: Sage.
Comrey, A.L. (1962). The minimum residual method of factor analysis. Psychological Reports, 11, 15–18.
Einhorn, H.J., Hogarth, R.M., amp Klempner, E. (1977). Quality of group judgements. Psychological Bulletin, 84, 158–172.
Gelfand, A. amp Solomon, H. (1973). A study of Poisson’s models for jury verdicts in Criminal and Civil trials. Journal of American Statistical Association, 68, 271–278.
Grofman, B. & Owen, G. (Eds.). (1986). Information Pooling and Group Decision Making. Greenwich, CN: JAI Press.
Hogarth, R.M. (1975). Cognitive processes and the assessment of subjective probability distributions. Journal of the American Statistical Association, 70, 271–294.
Kuhn, H.W. (1986). How to compute economic equilibria by pivotol methods. In S. Reiter (Ed.) Studies in Mathematical Economics. The Mathematical Association of America.
Lazarsfeld, P.F. & Henry, N.W. (1968). Latent Structure Analysis. New York: Houghton Mifflin.
Lord, F.M. (1974). Individualized testing and item characteristic curve theory. In D.H. Krantz, R.C. Atkinson, R.D. Luce, & P. Suppes (Eds.) Contemporary Developments in Mathematical Psychology (Vol.2). San Francisco: Freeman.
Lord, F.M. & Novick, M.R.. (1968). Statistical Theories of Mental Test Scores. Reading, MA: Addison-Wesley.
McKenna, F.P. (1985). Another look at the “new psychophysics.” British Journal of Psychology, 76, 97–109.
Maher, K.M. (1987). A multiple choice model for aggregating group knowledge and estimating individual competencies. Ph.D. Dissertation, Universtiy of California, Irvine. Nitzan, S. amp Paroush, J. (1982). Optimal decision rules in uncertain dichotomous choice situations. International Economics Review, 23, 289–297.
Pradhan, P.L. & Hoffman, P.J. (1963). Effect of spacing the range of stimuli on magnitude estimation judgements. Journal of Experimental Psychology, 66, 533–541.
Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests. Copenhagen: Denmarks Paedagogiske Institute.
Romney, A.K., Batchelder, W.H., & Weller, S.C. (1987). Recent applications of cultural consensus theory. American Behavioral Scientist, 31, 163–177.
Romney, A.K., Weller, S.C., & Batchelder, W.H. (1986). Culture as consensus: a theory of culture and informant accuracy. American Anthropologist, 88, 313–338.
Winkler, R.L. & Cummings, L.L. (1972). On the choice of a consensus distribution in Bayesian analysis. Organization Behavior and Human Performance, 7, 63–76.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Batchelder, W.H., Romney, A.K. (1989). New Results in Test Theory Without an Answer Key. In: Roskam, E.E. (eds) Mathematical Psychology in Progress. Recent Research in Psychology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83943-6_15
Download citation
DOI: https://doi.org/10.1007/978-3-642-83943-6_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51686-6
Online ISBN: 978-3-642-83943-6
eBook Packages: Springer Book Archive