MAXIMUM LIKELIHOOD ESTIMATION IN THE GENERALIZED CASE OF THURSTONE'S MODEL OF COMPARATIVE JUDGMENT (original) (raw)

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Date of correction: February 24, 2009 Reason for correction: - Correction: CITATION Details: Wrong : AKASKE, H. 1974 A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19, 716-723.
ARBUCKLE, L., & NUGENT, J. H. 1973 A general procedure for parameter estimation for the law of comparative judgment. British Journal of Mathematical and Statistical Psychology, 26, 240-260.
DEBREU, G. 1960 Review of R. D. Luce, Individual choice behavior: A theoretical analysis. American Economic Review, 50, 186-188.
HALFE, H. M. 1976 Choice theories for differentially comparable alternatives. Journal of Mathematical Psychology, 14, 244-246.
KRANTZ, D. H. 1967 Rational distance functions for multidimensional scaling. Journal of Mathematical Psychology, 4, 226-245.
LUCE, R. D. 1959 Individual choice behavior: A theoretical analysis. New York: Wiley.
RAMSAY, J. O. 1978 Confidence regions for multidimensional scaling analysis. Psychometrika, 43, 145-160.
RESTLE, F. 1961 Psychology of judgment and choice. New York: Wiley.
RUMELHART, D. L., & GREENO, J. G. 1971 Similarity between stimuli: An experimental test of the Luce and Restle choice models. Journal of Mathematical Psychology, 8, 370-381.
SJÖBERG, L. 1968 Unidimensional scaling of multidimensional facial expressions. Journal of Experimental Psychology, 78, 429-435.
SJÖBERG, L. 1975 Uncertainty of comparative judgments and multidimensional structure. Multivariate Behavioral Research, 11, 207-218.
SJÖBERG, L., & CAPOZZA, D. 1975 Preference and cognitive structure of Italian political parties. Italian Journal of Psychology, 2, 391-402.
TAKANE, Y. 1975 Generalized uni- and multidimensional Thurstonian scaling. Unpublished dissertation proposal. The University of North Carolina.
TAKANE, Y. 1977 Statistical procedures for nonmetric multidimensional scaling. Unpublished doctoral dissertation, The University of North Carolina.
TAKANE, Y. 1978 A maximum likelihood method for nonmetric multidimensional scaling: I. The case in which all empirical pairwise orderings are independent-theory and evaluations. Japanese Psychological Research, 20, 7-17 and 105-114.
TAKANE, Y. 1979 Maximum likelihood multidimensional scaling from directional rankings of similarity. A paper presented at the Psychometric Society Meeting, Monterey.
TAKANE, Y. 1980 Multidimensional successive categories scaling: A maximum likelihood method. Psychometrika. (In press).
TAKANE, Y., YOUNG, F. W., & DE LEEUW, J. 1977 Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features. Psychometrika, 42, 7-67.
THURSTONE, L. L. 1927 A Law of comparative judgments. Psychological Review, 34, 273-286.
TVERSKY, A. 1972a Choice by elimination. Journal of Mathematical Psychology, 9, 341-367.
TVERSKY, A. 1972b Elimination by aspects: A theory of choice. Psychological Review, 79, 281-299.
TVERSKY, A., & Russo, E. 1969 Substitutability and similarity in binary choices. Journal of Mathematical Psychology, 6, 1-12.
WILKS, S. S. 1962 Mathematical statistics. New York: Wiley.
YOUNG, G., & HOUSEHOLDER, A. S. 1938 Discussion of a set of points in terms of their mutual distances. Psychometrika, 3, 19-22.

Right : AKAIKE, H. 1974 A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19, 716-723.
ARBUCKLE, L., & NUGENT, J. H. 1973 A general procedure for parameter estimation for the law of comparative judgment. British Journal of Mathematical and Statistical Psychology, 26, 240-260.
DEBREU, G. 1960 Review of R. D. Luce, Individual choice behavior: A theoretical analysis. American Economic Review, 50, 186-188.
HALFF, H. M. 1976 Choice theories for differentially comparable alternatives. Journal of Mathematical Psychology, 14, 244-246.
KRANTZ, D. H. 1967 Rational distance functions for multidimensional scaling. Journal of Mathematical Psychology, 4, 226-245.
LUCE, R. D. 1959 Individual choice behavior: A theoretical analysis. New York: Wiley.
RAMSAY, J. O. 1978 Confidence regions for multidimensional scaling analysis. Psychometrika, 43, 145-160.
RESTLE, F. 1961 Psychology of judgment and choice. New York: Wiley.
RUMELHART, D. L., & GREENO, J. G. 1971 Similarity between stimuli: An experimental test of the Luce and Restle choice models. Journal of Mathematical Psychology, 8, 370-381.
SJÖBERG, L. 1968 Unidimensional scaling of multidimensional facial expressions. Journal of Experimental Psychology, 78, 429-435.
SJÖBERG, L. 1975 Uncertainty of comparative judgments and multidimensional structure. Multivariate Behavioral Research, 11, 207-218.
SJÖBERG, L., & CAPOZZA, D. 1975 Preference and cognitive structure of Italian political parties. Italian Journal of Psychology, 2, 391-402.
TAKANE, Y. 1975 Generalized uni- and multidimensional Thurstonian scaling. Unpublished dissertation proposal. The University of North Carolina.
TAKANE, Y. 1977 Statistical procedures for nonmetric multidimensional scaling. Unpublished doctoral dissertation, The University of North Carolina.
TAKANE, Y. 1978 A maximum likelihood method for nonmetric multidimensional scaling: I. The case in which all empirical pairwise orderings are independent-theory and evaluations. Japanese Psychological Research, 20, 7-17 and 105-114.
TAKANE, Y. 1979 Maximum likelihood multidimensional scaling from directional rankings of similarity. A paper presented at the Psychometric Society Meeting, Monterey.
TAKANE, Y. 1980 Multidimensional successive categories scaling: A maximum likelihood method. Psychometrika.(In press).
TAKANE, Y., YOUNG, F. W., & DE LEEUW, J. 1977 Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features. Psychometrika, 42, 7-67.
THURSTONE, L. L. 1927 A Law of comparative judgments. Psychological Review, 34, 273-286.
TVERSKY, A. 1972a Choice by elimination. Journal of Mathematical Psychology, 9, 341-367.
TVERSKY, A. 1972b Elimination by aspects: A theory of choice. Psychological Review, 79, 281-299.
TVERSKY, A., & Russo, E. 1969 Substitutability and similarity in binary choices. Journal of Mathematical Psychology, 6, 1-12.
WILKS, S. S. 1962 Mathematical statistics. New York: Wiley.
YOUNG, G., & HOUSEHOLDER, A. S. 1938 Discussion of a set of points in terms of their mutual distances. Psychometrika, 3, 19-22.

Date of correction: February 24, 2009 Reason for correction: - Correction: PDF FILE Details: -

Date of correction: February 24, 2009 Reason for correction: - Correction: CITATION Details: Wrong : AKAIKE, H. 1974 A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19, 716-723.
ARBUCKLE, L., & NUGENT, J. H. 1973 A general procedure for parameter estimation for the law of comparative judgment. British Journal of Mathematical and Statistical Psychology, 26, 240-260.
DEBREU, G. 1960 Review of R. D. Luce, Individual choice behavior: A theoretical analysis. American Economic Review, 50, 186-188.
HALFF, H. M. 1976 Choice theories for differentially comparable alternatives. Journal of Mathematical Psychology, 14, 244-246.
KRANTZ, D. H. 1967 Rational distance functions for multidimensional scaling. Journal of Mathematical Psychology, 4, 226-245.
LUCE, R. D. 1959 Individual choice behavior: A theoretical analysis. New York: Wiley.
RAMSAY, J. O. 1978 Confidence regions for multidimensional scaling analysis. Psychometrika, 43, 145-160.
RESTLE, F. 1961 Psychology of judgment and choice. New York: Wiley.
RUMELHART, D. L., & GREENO, J. G. 1971 Similarity between stimuli: An experimental test of the Luce and Restle choice models. Journal of Mathematical Psychology, 8, 370-381.
SJÖBERG, L. 1968 Unidimensional scaling of multidimensional facial expressions. Journal of Experimental Psychology, 78, 429-435.
SJÖBERG, L. 1975 Uncertainty of comparative judgments and multidimensional structure. Multivariate Behavioral Research, 11, 207-218.
SJÖBERG, L., & CAPOZZA, D. 1975 Preference and cognitive structure of Italian political parties. Italian Journal of Psychology, 2, 391-402.
TAKANE, Y. 1975 Generalized uni- and multidimensional Thurstonian scaling. Unpublished dissertation proposal. The University of North Carolina.
TAKANE, Y. 1977 Statistical procedures for nonmetric multidimensional scaling. Unpublished doctoral dissertation, The University of North Carolina.
TAKANE, Y. 1978 A maximum likelihood method for nonmetric multidimensional scaling: I. The case in which all empirical pairwise orderings are independent-theory and evaluations. Japanese Psychological Research, 20, 7-17 and 105-114.
TAKANE, Y. 1979 Maximum likelihood multidimensional scaling from directional rankings of similarity. A paper presented at the Psychometric Society Meeting, Monterey.
TAKANE, Y. 1980 Multidimensional successive categories scaling: A maximum likelihood method. Psychometrika.(In press).
TAKANE, Y., YOUNG, F. W., & DE LEEUW, J. 1977 Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features. Psychometrika, 42, 7-67.
THURSTONE, L. L. 1927 A Law of comparative judgments. Psychological Review, 34, 273-286.
TVERSKY, A. 1972a Choice by elimination. Journal of Mathematical Psychology, 9, 341-367.
TVERSKY, A. 1972b Elimination by aspects: A theory of choice. Psychological Review, 79, 281-299.
TVERSKY, A., & Russo, E. 1969 Substitutability and similarity in binary choices. Journal of Mathematical Psychology, 6, 1-12.
WILKS, S. S. 1962 Mathematical statistics. New York: Wiley.
YOUNG, G., & HOUSEHOLDER, A. S. 1938 Discussion of a set of points in terms of their mutual distances. Psychometrika, 3, 19-22.

Right : AKAIKE, H. 1974 A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19, 716-723.
ARBUCKLE, L., & NUGENT, J. H. 1973 A general procedure for parameter estimation for the law of comparative judgment. British Journal of Mathematical and Statistical Psychology, 26, 240-260.
DEBREU, G. 1960 Review of R. D. Luce, Individual choice behavior: A theoretical analysis. American Economic Review, 50, 186-188.
HALFF, H. M. 1976 Choice theories for differentially comparable alternatives. Journal of Mathematical Psychology, 14, 244-246.
KRANTZ, D. H. 1967 Rational distance functions for multidimensional scaling. Journal of Mathematical Psychology, 4, 226-245.
LUCE, R. D. 1959 Individual choice behavior: A theoretical analysis. New York: Wiley.
RAMSAY, J. O. 1978 Confidence regions for multidimensional scaling analysis. Psychometrika, 43, 145-160.
RESTLE, F. 1961 Psychology of judgment and choice. New York: Wiley.
RUMELHART, D. L., & GREENO, J. G. 1971 Similarity between stimuli: An experimental test of the Luce and Restle choice models. Journal of Mathematical Psychology, 8, 370-381.
SJÖBERG, L. 1968 Unidimensional scaling of multidimensional facial expressions. Journal of Experimental Psychology, 78, 429-435.
SJÖBERG, L. 1975 Uncertainty of comparative judgments and multidimensional structure. Multivariate Behavioral Research, 11, 207-218.
SJÖBERG, L., & CAPOZZA, D. 1975 Preference and cognitive structure of Italian political parties. Italian Journal of Psychology, 2, 391-402.
TAKANE, Y. 1975 Generalized uni-and multidimensional Thurstonian scaling. Unpublished dissertation proposal. The University of North Carolina.
TAKANE, Y. 1977 Statistical procedures for nonmetric multidimensional scaling. Unpublished doctoral dissertation, The University of North Carolina.
TAKANE, Y. 1978 A maximum likelihood method for nonmetric multidimensional scaling: I. The case in which all empirical pairwise orderings are independent-theory and evaluations. Japanese Psychological Research, 20, 7-17 and 105-114.
TAKANE, Y. 1979 Maximum likelihood multidimensional scaling from directional rankings of similarity. A paper presented at the Psychometric Society Meeting, Monterey.
TAKANE, Y. 1980 Multidimensional successive categories scaling: A maximum likelihood method. Psychometrika.(In press).
TAKANE, Y., YOUNG, F. W., & DE LEEUW, J. 1977 Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features. Psychometrika, 42, 7-67.
THURSTONE, L. L. 1927 A Law of comparative judgments. Psychological Review, 34, 273-286.
TVERSKY, A. 1972a Choice by elimination. Journal of Mathematical Psychology, 9, 341-367.
TVERSKY, A. 1972b Elimination by aspects: A theory of choice. Psychological Review, 79, 281-299.
TVERSKY, A., & RUSSO, E. 1969 Substitutability and similarity in binary choices. Journal of Mathematical Psychology, 6, 1-12.
WILKS, S. S. 1962 Mathematical statistics. New York: Wiley.
YOUNG, G., & HOUSEHOLDER, A. S. 1938 Discussion of a set of points in terms of their mutual distances. Psychometrika, 3, 19-22.