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Volumn 24, Issue 3, 1997, Pages 337-356

Three-factor association models for three-way contingency tables

Author keywords

Log linear analysis; Log trilinear decomposition; Maximum likelihood estimation; PARAFAC

Indexed keywords

ASSOCIATIVE PROCESSING; DATA HANDLING; ESTIMATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; TABLE LOOKUP;

EID: 0031147157     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(97)87024-7     Document Type: Article
Times cited : (13)

References (41)
  • 3
    • 0001255016 scopus 로고
    • Association models for multidimensional cross-classifications of ordinal variables
    • Agresti, A. and A. Kezouh, Association models for multidimensional cross-classifications of ordinal variables. Communication in Statistics, Part A - Theory and Method, 12 (1983) 1261-1276.
    • (1983) Communication in Statistics, Part A - Theory and Method , vol.12 , pp. 1261-1276
    • Agresti, A.1    Kezouh, A.2
  • 5
    • 0000736116 scopus 로고
    • Models for the analysis of association in multivariate contingency tables
    • Becker, M.P., Models for the analysis of association in multivariate contingency tables, J. Amer. Statist. Assoc., 84, (1989) 1014-1019.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 1014-1019
    • Becker, M.P.1
  • 6
    • 0001494374 scopus 로고
    • Maximum likelihood estimation of the RC(M) association model
    • Becker, M.P., Maximum likelihood estimation of the RC(M) association model, Appl. Statist., 39 (1990) 152-166.
    • (1990) Appl. Statist. , vol.39 , pp. 152-166
    • Becker, M.P.1
  • 7
    • 38249015475 scopus 로고
    • Exploratory analysis of association models using loglinear models and singular value decompositions
    • Becker, M.P., Exploratory analysis of association models using loglinear models and singular value decompositions, Comput. Statist. Data Anal., 13 (1992) 253-267.
    • (1992) Comput. Statist. Data Anal. , vol.13 , pp. 253-267
    • Becker, M.P.1
  • 8
    • 34548832363 scopus 로고
    • Analysis of sets of two-way contingency tables using association models
    • Becker, M.P. and C.C. Clogg, Analysis of sets of two-way contingency tables using association models. J. Amer. Statist. Assoc., 84 (1989) 142-151.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 142-151
    • Becker, M.P.1    Clogg, C.C.2
  • 10
    • 34250499792 scopus 로고
    • Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition
    • Carroll, J.D. and J.J. Chang, Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition, Psychometrika, 35 (1970) 283-319.
    • (1970) Psychometrika , vol.35 , pp. 283-319
    • Carroll, J.D.1    Chang, J.J.2
  • 11
    • 13344265235 scopus 로고
    • Exploratory analysis of contingency tables by log-linear formulation and generalizations of correspondence analysis
    • Errata p. 593
    • Choulakian, V., Exploratory analysis of contingency tables by log-linear formulation and generalizations of correspondence analysis, Psychometrika, 53 (1988) 235-250 (Errata p. 593).
    • (1988) Psychometrika , vol.53 , pp. 235-250
    • Choulakian, V.1
  • 12
    • 0043066659 scopus 로고
    • Analysis of log-trilinear models for a three-way contingency table using Parafac/Candecomp
    • Pescara, 11-12 ottobre
    • D'Ambra, L. and H. Kiers, Analysis of log-trilinear models for a three-way contingency table using Parafac/Candecomp. in: Atti delle Giornate di Studio: Classificazione e Analisi dei Dati, Pescara, 11-12 ottobre (1990) 101-113.
    • (1990) Atti delle Giornate di Studio: Classificazione e Analisi dei Dati , pp. 101-113
    • D'Ambra, L.1    Kiers, H.2
  • 13
    • 0012854135 scopus 로고
    • The analysis of multivariate contingency tables by restricted canonical and restricted association models
    • Gilula, Z. S.J. and Haberman, The analysis of multivariate contingency tables by restricted canonical and restricted association models, J. Amer. Statist. Assoc., 83 (1988) 760-771.
    • (1988) J. Amer. Statist. Assoc. , vol.83 , pp. 760-771
    • Gilula, Z.S.J.1    Haberman2
  • 14
    • 0001547865 scopus 로고
    • Ordinal association in contingency tables: Some interpretative aspects
    • Gilula, Z., A.M. Krieger and Y. Ritov, Ordinal association in contingency tables: some interpretative aspects, J. Amer. Statist. Assoc., 83 (1988) 540-545.
    • (1988) J. Amer. Statist. Assoc. , vol.83 , pp. 540-545
    • Gilula, Z.1    Krieger, A.M.2    Ritov, Y.3
  • 15
    • 0040006707 scopus 로고
    • Simple models for the analysis of association in cross-classifications having ordered categories
    • Goodman, L.A., Simple models for the analysis of association in cross-classifications having ordered categories, J. Amer. Statist. Assoc., 74 (1979) 537-552.
    • (1979) J. Amer. Statist. Assoc. , vol.74 , pp. 537-552
    • Goodman, L.A.1
  • 16
    • 0003083206 scopus 로고
    • The analysis of cross-classified data having ordered and/or unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries
    • Goodman, L.A., The analysis of cross-classified data having ordered and/or unordered categories: association models, correlation models, and asymmetry models for contingency tables with or without missing entries, Ann. Statist., 13 (1985) 1069.
    • (1985) Ann. Statist. , vol.13 , pp. 1069
    • Goodman, L.A.1
  • 17
    • 0001317210 scopus 로고
    • Some useful extensions of the usual correspondence analysis approach and the usual log-linear models approach in the analysis of contingency tables
    • Goodman, L.A., Some useful extensions of the usual correspondence analysis approach and the usual log-linear models approach in the analysis of contingency tables, Internat. Statist. Rev., 54 (1986) 243-309.
    • (1986) Internat. Statist. Rev. , vol.54 , pp. 243-309
    • Goodman, L.A.1
  • 21
    • 0002740437 scopus 로고
    • Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-modal factor analysis
    • Harshman, R.A., Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-modal factor analysis, UCLA Working Papers in Phonetics, 16 (1970) 1-84.
    • (1970) UCLA Working Papers in Phonetics , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 22
    • 0002258223 scopus 로고
    • The PARAFAC model for three-way factor analysis and multidimensional scaling
    • H.G. Law, C.W. Snyder, J.A. Hattie, and R.P. McDonald (Eds.), Praeger, New York
    • Harshman, R.A. and M.E. Lundy., The PARAFAC model for three-way factor analysis and multidimensional scaling, in: H.G. Law, C.W. Snyder, J.A. Hattie, and R.P. McDonald (Eds.), Research Methods for Multimode Data Analysis (Praeger, New York, (1984a) 122-215.
    • (1984) Research Methods for Multimode Data Analysis , pp. 122-215
    • Harshman, R.A.1    Lundy, M.E.2
  • 23
    • 0002549412 scopus 로고
    • Data preprocessing and the extended PARAFAC model
    • H.G. Law, C.W. Snyder, J.A. Hattie, and R.P. McDonald (Eds.), Praeger, New York
    • Harshman, R.A. and M.E. Lundy, Data preprocessing and the extended PARAFAC model, in: H.G. Law, C.W. Snyder, J.A. Hattie, and R.P. McDonald (Eds.), Research Methods for Multimode Data Analysis (Praeger, New York, 1984b) 216-284.
    • (1984) Research Methods for Multimode Data Analysis , pp. 216-284
    • Lundy, M.E.1
  • 25
    • 48749101457 scopus 로고
    • Three-way arrays: Rank and uniqueness of trilinear decompositions, with applications to arithmetic complexity and statistics
    • Kruskal, J.B., Three-way arrays: rank and uniqueness of trilinear decompositions, with applications to arithmetic complexity and statistics, Linear Algebra Appl., 18 (1977) 95-138.
    • (1977) Linear Algebra Appl. , vol.18 , pp. 95-138
    • Kruskal, J.B.1
  • 26
    • 0001837391 scopus 로고
    • Rank, decompositions, and uniqueness for 3-way and N-way array
    • R. Coppi and S. Bolasco (Eds), North-Holland, Amsterdam
    • Kruskal, J.B., Rank, decompositions, and uniqueness for 3-way and N-way array, in: R. Coppi and S. Bolasco (Eds), Muhiway Data Analysis (North-Holland, Amsterdam, 1989) 7-18.
    • (1989) Muhiway Data Analysis , pp. 7-18
    • Kruskal, J.B.1
  • 27
    • 0003052447 scopus 로고
    • How 3-MFA data can cause degenerate parafac solutions, among other relationships
    • R. Coppi and S. Bolasco (Eds), North-Holland, Amsterdam
    • Kruskal, J.B., R.A. Harshman and M.E. Lundy, How 3-MFA data can cause degenerate PARAFAC solutions, among other relationships, in: R. Coppi and S. Bolasco (Eds), Multiway Data Analysis, (North-Holland, Amsterdam, 1989).
    • (1989) Multiway Data Analysis
    • Kruskal, J.B.1    Harshman, R.A.2    Lundy, M.E.3
  • 28
    • 0009308126 scopus 로고
    • Exploratory methods and modelling for contingency tables analysis: An integrated approach
    • Lauro, N.C. and R. Siciliano, Exploratory methods and modelling for contingency tables analysis: an integrated approach, Statistica Applicata, Ital. J. Appl. Statist., 1 (1989) 532.
    • (1989) Statistica Applicata, Ital. J. Appl. Statist. , vol.1 , pp. 532
    • Lauro, N.C.1    Siciliano, R.2
  • 31
    • 85033116051 scopus 로고
    • Log-trilinear models for three-way contingency tables
    • Nijmegen
    • Mooijaart, A. and P.G.M. van der Heijden, Log-trilinear models for three-way contingency tables, Presented at SMABS-92, Nijmegen, 1992.
    • (1992) SMABS-92
    • Mooijaart, A.1    Van Der Heijden, P.G.M.2
  • 32
    • 0043066662 scopus 로고
    • Exploratory approach and maximum likelihood estimation of models for non-symmetrical analysis of two-way multiple contingency tables
    • Siciliano, R., N.C. Lauro and A. Mooijaart, Exploratory approach and maximum likelihood estimation of models for non-symmetrical analysis of two-way multiple contingency tables, Compstat'90 (1990) 157-162.
    • (1990) Compstat'90 , pp. 157-162
    • Siciliano, R.1    Lauro, N.C.2    Mooijaart, A.3
  • 33
    • 51249164930 scopus 로고
    • A probabilistic model for nonsymmetric correspondence analysis and prediction in contingency tables
    • Siciliano, R., A. Mooijaart and P.G.M. van der Heijden, A probabilistic model for nonsymmetric correspondence analysis and prediction in contingency tables, J. Ital. Statist. Soc., 2 (1993) 106.
    • (1993) J. Ital. Statist. Soc. , vol.2 , pp. 106
    • Siciliano, R.1    Mooijaart, A.2    Van Der Heijden, P.G.M.3
  • 34
    • 0039195300 scopus 로고
    • Simultaneous latent budget analysis of a set of two-way tables with constant-row-sum data
    • Siciliano, R. and P.G.M. van der Heijden, Simultaneous latent budget analysis of a set of two-way tables with constant-row-sum data. Metron, 53 (1994) 1-2.
    • (1994) Metron , vol.53 , pp. 1-2
    • Siciliano, R.1    Van Der Heijden, P.G.M.2
  • 35
    • 0001158675 scopus 로고
    • Explicit CANDECOMP/PARAFAC solutions for a contrived 2 x 2 x 2 array of rank three
    • ten Berge, J.M.F., H.A.L. Kiers, and J. de Leeuw, Explicit CANDECOMP/PARAFAC solutions for a contrived 2 x 2 x 2 array of rank three, Psychometrika, 53 (1988) 579-584.
    • (1988) Psychometrika , vol.53 , pp. 579-584
    • Ten Berge, J.M.F.1    Kiers, H.A.L.2    De Leeuw, J.3
  • 36
    • 0000020580 scopus 로고
    • Kruskal's polynomial for 2 x 2 x 2 arrays and a generalization to 2 x N x N array
    • ten Berge, J.M.F., Kruskal's polynomial for 2 x 2 x 2 arrays and a generalization to 2 x N x N array, Psychometrika, 56 (1991) 631-636.
    • (1991) Psychometrika , vol.56 , pp. 631-636
    • Ten Berge, J.M.F.1
  • 37
    • 0000666371 scopus 로고
    • The extension of factor analysis to three-dimensional matrices
    • H. Gullikson, and N. Frederiksen, (Eds.), Holt, Rinehart and Winston, New York
    • Tucker, L.R., The extension of factor analysis to three-dimensional matrices, in: H. Gullikson, and N. Frederiksen, (Eds.), Contributions to Mathematical Psychology, (Holt, Rinehart and Winston, New York, 1964) 110-119.
    • (1964) Contributions to Mathematical Psychology , pp. 110-119
    • Tucker, L.R.1
  • 38
    • 0013953617 scopus 로고
    • Some mathematical notes on three-mode factor analysis
    • Tucker, L.R., Some mathematical notes on three-mode factor analysis, Psychometrika, 31 (1966) 279-311.
    • (1966) Psychometrika , vol.31 , pp. 279-311
    • Tucker, L.R.1
  • 39
    • 84933488855 scopus 로고
    • Constrained latent budget analysis
    • P. Marsden (Ed.), Blackwell, Cambridge
    • van der Heijden, P.G.M., A. Mooijaart and J. de Leeuw, Constrained latent budget analysis, in: P. Marsden (Ed.), Sociological Methodology, Vol. 22, (Blackwell, Cambridge, 1992) 279-320.
    • (1992) Sociological Methodology , vol.22 , pp. 279-320
    • Van Der Heijden, P.G.M.1    Mooijaart, A.2    De Leeuw, J.3
  • 40
    • 84965535048 scopus 로고
    • Extensions in the use of log-multiplicative scaled association models in multiway contingency tables
    • Wong, R.R.S.K., Extensions in the use of log-multiplicative scaled association models in multiway contingency tables, Sociol. Methods and Res., 23 (1995) 507-538.
    • (1995) Sociol. Methods and Res. , vol.23 , pp. 507-538
    • Wong, R.R.S.K.1
  • 41
    • 84933492280 scopus 로고
    • The log-multiplicative layer effect model for comparing mobility tables
    • Xie, Y., The log-multiplicative layer effect model for comparing mobility tables, Amer. Socio. Rev., 57 (1992) 380-395.
    • (1992) Amer. Socio. Rev. , vol.57 , pp. 380-395
    • Xie, Y.1


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