Probabilistic Multidimensional Analysis of Preference Ratio Judgments

作者: Joseph L. Zinnes , David B. MacKay

DOI: 10.1016/S0166-4115(08)60236-8

关键词: Probabilistic logicSocial psychologyMultidimensional analysisMultivariate normal distributionStatistical modelSimple (abstract algebra)Preference (economics)Maximum likelihoodVariance (accounting)StatisticsPsychology

摘要: A probabilistic multidimensional model is described for analyzing preference ratio judgments. This combines the unfolding of Coombs with Hefner, in which stimuli and individuals are represented by multivariate normal distributions. simple procedure approximating maximum likelihood estimates location variance parameters model. Two simulations show how well this works, especially when there considerable variability data.

参考文章(15)
David B. MacKay, Joseph L. Zinnes, Probabilistic Scaling of Spatial Distance Judgments Geographical Analysis. ,vol. 13, pp. 21- 37 ,(1981) , 10.1111/J.1538-4632.1981.TB00712.X
Geert De Soete, J.Douglas Carroll, Wayne S. DeSarbo, The wandering ideal point model: A probabilistic multidimensional unfolding model for paired comparisons data Journal of Mathematical Psychology. ,vol. 30, pp. 28- 41 ,(1986) , 10.1016/0022-2496(86)90040-4
W. G. Bulgren, On Representations of the Doubly Non-Central F Distribution Journal of the American Statistical Association. ,vol. 66, pp. 184- 186 ,(1971) , 10.1080/01621459.1971.10482241
Joseph L. Zinnes, Ronald Kurtz, Matching, discrimination, and payoffs Journal of Mathematical Psychology. ,vol. 5, pp. 392- 421 ,(1968) , 10.1016/0022-2496(68)90084-9
Lennart Sjöberg, Successive intervals scaling of paired comparisons Psychometrika. ,vol. 32, pp. 297- 308 ,(1967) , 10.1007/BF02289593
L. L. Thurstone, A law of comparative judgment Psychological Review. ,vol. 34, pp. 273- 286 ,(1994) , 10.1037/H0070288
F. Gregory Ashby, James T. Townsend, Varieties of perceptual independence. Psychological Review. ,vol. 93, pp. 154- 179 ,(1986) , 10.1037/0033-295X.93.2.154
Robert L. Causey, Basic measurement theory Journal of Symbolic Logic. ,vol. 36, pp. 322- 323 ,(1971) , 10.2307/2270274
Joseph L. Zinnes, Richard A. Griggs, Probabilistic, multidimensional unfolding analysis Psychometrika. ,vol. 39, pp. 327- 350 ,(1974) , 10.1007/BF02291707
Joseph L Zinnes, Ronald P Wolff, Single and multidimensional same-different judgments Journal of Mathematical Psychology. ,vol. 16, pp. 30- 50 ,(1977) , 10.1016/0022-2496(77)90046-3