메뉴 건너뛰기




Volumn 50, Issue 1 SPEC. ISS., 2006, Pages 21-39

Principal component analysis of binary data by iterated singular value decomposition

Author keywords

Applications to social sciences; Binary data; Factor analysis; Item response models; Multivariate analysis

Indexed keywords

ALGORITHMS; DATA REDUCTION; ITERATIVE METHODS; MAXIMUM LIKELIHOOD ESTIMATION; SOCIAL SCIENCES;

EID: 24644473091     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2004.07.010     Document Type: Article
Times cited : (84)

References (48)
  • 1
    • 24644489465 scopus 로고    scopus 로고
    • 2001 Voting record: Shattered promise of liberal progress
    • Ada 2001 Voting record shattered promise of liberal progress ADA Today 57 1 2002 1 17
    • (2002) ADA Today , vol.57 , Issue.1 , pp. 1-17
  • 3
    • 0039057183 scopus 로고    scopus 로고
    • Ideal point estimation with a small number of votes: A random-effects approach
    • M. Bailey Ideal point estimation with a small number of votes a random-effects approach Political Anal. 9 3 2001 192 210
    • (2001) Political Anal. , vol.9 , Issue.3 , pp. 192-210
    • Bailey, M.1
  • 5
    • 0035543525 scopus 로고    scopus 로고
    • MCMC estimation and some model-fit analysis of multidimensional IRT models
    • A.A. Beguin, and C.W. Glas MCMC estimation and some model-fit analysis of multidimensional IRT models Psychometrika 66 2001 541 562
    • (2001) Psychometrika , vol.66 , pp. 541-562
    • Beguin, A.A.1    Glas, C.W.2
  • 8
    • 84982395286 scopus 로고
    • Analysis of choice behaviour via probabilistic ideal point and vector models
    • I. Böckenholt, and W. Gaul Analysis of choice behaviour via probabilistic ideal point and vector models Appl. Stochastic Models Data Anal. 2 1986 209 226
    • (1986) Appl. Stochastic Models Data Anal. , vol.2 , pp. 209-226
    • Böckenholt, I.1    Gaul, W.2
  • 9
    • 0033098944 scopus 로고    scopus 로고
    • The lower bound method in probit regression
    • D. Böhning The lower bound method in probit regression Comput. Statist. Data Anal. 30 1999 13 17
    • (1999) Comput. Statist. Data Anal. , vol.30 , pp. 13-17
    • Böhning, D.1
  • 10
    • 0037877567 scopus 로고
    • Monotonicity of quadratic-approximation algorithms
    • D. Böhning, and B.G. Lindsay Monotonicity of quadratic-approximation algorithms Ann. Inst. Statist. Math. 40 4 1988 641 663
    • (1988) Ann. Inst. Statist. Math. , vol.40 , Issue.4 , pp. 641-663
    • Böhning, D.1    Lindsay, B.G.2
  • 14
    • 0009204227 scopus 로고
    • Nonmetric factor analysis
    • Engineering Research Institute, University of Michigan, Ann Arbor
    • Coombs, C.H., Kao, R.C., 1955. Nonmetric factor analysis. Engineering Research Bulletin 38, Engineering Research Institute, University of Michigan, Ann Arbor.
    • (1955) Engineering Research Bulletin , vol.38
    • Coombs, C.H.1    Kao, R.C.2
  • 15
    • 24644448121 scopus 로고
    • Variant of the stepped exponential method of finding some of the first characteristics values of a symmetric matrix
    • V.A. Daugavet Variant of the stepped exponential method of finding some of the first characteristics values of a symmetric matrix USSR Comput. Math. Phys. 8 1 1968 212 223
    • (1968) USSR Comput. Math. Phys. , vol.8 , Issue.1 , pp. 212-223
    • Daugavet, V.A.1
  • 16
    • 0002403935 scopus 로고    scopus 로고
    • Block relaxation methods in statistics
    • H.H. Bock W. Lenski M.M. Richter Springer Berlin
    • J. De Leeuw Block relaxation methods in statistics H.H. Bock W. Lenski M.M. Richter Information Systems and Data Analysis 1994 Springer Berlin
    • (1994) Information Systems and Data Analysis
    • De Leeuw, J.1
  • 20
    • 0039294367 scopus 로고
    • Algorithmic approaches for fitting bilinear models
    • Y. Dodge J. Whittaker Physika Heidelberg, Germany
    • A. de Falguerolles, and B. Francis Algorithmic approaches for fitting bilinear models Y. Dodge J. Whittaker COMPSTAT 1992 1992 Physika Heidelberg, Germany
    • (1992) COMPSTAT 1992
    • De Falguerolles, A.1    Francis, B.2
  • 21
    • 0347463291 scopus 로고    scopus 로고
    • Generalized bilinear regression
    • K.R. Gabriel Generalized bilinear regression Biometrika 85 1998 689 700
    • (1998) Biometrika , vol.85 , pp. 689-700
    • Gabriel, K.R.1
  • 24
    • 24644437990 scopus 로고    scopus 로고
    • Weighted majorization algorithms for weighted least squares decomposition models
    • Econometric Institute, Erasmus University, Rotterdam, Netherlands
    • Groenen, P.J.F., Giaquinto, P., Kiers, H.L., 2003. Weighted majorization algorithms for weighted least squares decomposition models. Technical Report EI 2003-09, Econometric Institute, Erasmus University, Rotterdam, Netherlands.
    • (2003) Technical Report , vol.EI 2003-09
    • Groenen, P.J.F.1    Giaquinto, P.2    Kiers, H.L.3
  • 25
    • 0002108743 scopus 로고
    • Convergent computing by iterative majorization: Theory and applications in multidimensional data analysis
    • W.J. Krzanowski Clarendon Press Oxford
    • W.J. Heiser Convergent computing by iterative majorization theory and applications in multidimensional data analysis W.J. Krzanowski Recent Advantages in Descriptive Multivariate Analysis 1995 Clarendon Press Oxford
    • (1995) Recent Advantages in Descriptive Multivariate Analysis
    • Heiser, W.J.1
  • 26
    • 0042685161 scopus 로고    scopus 로고
    • Bayesian parameter estimation via variational methods Bayesian parameter estimation via variational methods
    • T.S. Jaakkola, and M.I. Jordan Bayesian parameter estimation via variational methods Bayesian parameter estimation via variational methods Statist. Comput. 10 2000 25 37
    • (2000) Statist. Comput. , vol.10 , pp. 25-37
    • Jaakkola, T.S.1    Jordan, M.I.2
  • 27
    • 0007287414 scopus 로고    scopus 로고
    • Estimation and inference are missing data problems: Unifying social science statistics via Bayesian simulation
    • S. Jackman Estimation and inference are missing data problems unifying social science statistics via Bayesian simulation Polit. Anal. 8 4 2000 307 332
    • (2000) Polit. Anal. , vol.8 , Issue.4 , pp. 307-332
    • Jackman, S.1
  • 28
    • 3042714392 scopus 로고    scopus 로고
    • Multidimensional analysis of roll call data via Bayesian simulation: Identification, estimation, inference, and model checking
    • S. Jackman Multidimensional analysis of roll call data via Bayesian simulation identification, estimation, inference, and model checking Polit. Anal. 9 3 2001 227 241
    • (2001) Polit. Anal. , vol.9 , Issue.3 , pp. 227-241
    • Jackman, S.1
  • 30
    • 0031517826 scopus 로고    scopus 로고
    • Weighted least squares fitting using iterative ordinary least squares algorithms
    • H.A.L. Kiers Weighted least squares fitting using iterative ordinary least squares algorithms Psychometrika 62 1997 251 266
    • (1997) Psychometrika , vol.62 , pp. 251-266
    • Kiers, H.A.L.1
  • 31
    • 77950023906 scopus 로고    scopus 로고
    • Optimization transfer using surrogate objective functions
    • K. Lange, D.R. Hunter, and I. Yang Optimization transfer using surrogate objective functions J. Comput. Graph. Statist. 9 2000 1 20
    • (2000) J. Comput. Graph. Statist. , vol.9 , pp. 1-20
    • Lange, K.1    Hunter, D.R.2    Yang, I.3
  • 32
    • 84973939172 scopus 로고
    • The factorial analysis of multiple item tests
    • D.N. Lawley The factorial analysis of multiple item tests Proc. Roy. Soc. Edinburgh 62-A 1944 74 82
    • (1944) Proc. Roy. Soc. Edinburgh , vol.62 A , pp. 74-82
    • Lawley, D.N.1
  • 34
    • 0001266277 scopus 로고    scopus 로고
    • Normal ogive multidimensional model
    • W.J. Van Der Linden R.K. Hambleton Springer Berlin
    • R.P. McDonald Normal ogive multidimensional model W.J. Van Der Linden R.K. Hambleton Handbook of Item Response Theory 1997 Springer Berlin
    • (1997) Handbook of Item Response Theory
    • McDonald, R.P.1
  • 35
    • 0030336223 scopus 로고    scopus 로고
    • Fitting full-information item factor analysis models and an empirical investigation of bridge sampling
    • X.-L. Meng, and S. Schilling Fitting full-information item factor analysis models and an empirical investigation of bridge sampling J. Amer. Statist. Assoc. 91 1996 1254 1267
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1254-1267
    • Meng, X.-L.1    Schilling, S.2
  • 36
    • 0009880272 scopus 로고    scopus 로고
    • The geometry of multidimensional quadratic utility in models of parliamentary roll call voting
    • K.T. Poole The geometry of multidimensional quadratic utility in models of parliamentary roll call voting Polit. Anal. 9 3 2001 211 226
    • (2001) Polit. Anal. , vol.9 , Issue.3 , pp. 211-226
    • Poole, K.T.1
  • 37
    • 0002251164 scopus 로고    scopus 로고
    • A linear logistic multidimensional model
    • W.J. Van Der Linden R.K. Hambleton Springer Berlin
    • M.D. Reckase A linear logistic multidimensional model W.J. Van Der Linden R.K. Hambleton Handbook of Item Response Theory 1997 Springer Berlin
    • (1997) Handbook of Item Response Theory
    • Reckase, M.D.1
  • 39
    • 0042152639 scopus 로고
    • Some inequalities on Mill's ratio and related functions
    • M.R. Sampford Some inequalities on Mill's ratio and related functions Ann. Math. Statist. 24 1953 130 132
    • (1953) Ann. Math. Statist. , vol.24 , pp. 130-132
    • Sampford, M.R.1
  • 41
    • 0002433069 scopus 로고
    • Analysis of covariance structures and probabilistic binary choice data
    • Y. Takane Analysis of covariance structures and probabilistic binary choice data Commun. Cognition 20 1987 45 62
    • (1987) Commun. Cognition , vol.20 , pp. 45-62
    • Takane, Y.1
  • 42
    • 0000563849 scopus 로고
    • On the relationship between item response theory and factor analysis of discreticized variables
    • Y. Takane, and J. De Leeuw On the relationship between item response theory and factor analysis of discreticized variables Psychometrika 52 1987 393 408
    • (1987) Psychometrika , vol.52 , pp. 393-408
    • Takane, Y.1    De Leeuw, J.2
  • 43
    • 0035167252 scopus 로고    scopus 로고
    • Constrained principal components analysis: A comprehensive theory
    • Y. Takane, and M. Hunter Constrained principal components analysis a comprehensive theory Appl. Algebra Eng. Commun. Comput. 12 2001 391 419
    • (2001) Appl. Algebra Eng. Commun. Comput. , vol.12 , pp. 391-419
    • Takane, Y.1    Hunter, M.2
  • 44
    • 84899007505 scopus 로고    scopus 로고
    • Probabilistic visualization of high-dimensional binary data
    • M. Tipping Probabilistic visualization of high-dimensional binary data Adv. Neural Inform. Process. Systems 11 1999 592 598
    • (1999) Adv. Neural Inform. Process. Systems , vol.11 , pp. 592-598
    • Tipping, M.1
  • 45
    • 0002708391 scopus 로고
    • Intra-individual and inter-individual multidimensionality
    • H. Gulliksen S. Messick Wiley New York
    • L.R. Tucker Intra-individual and inter-individual multidimensionality H. Gulliksen S. Messick Psychological Scaling Theory and Applications 1960 Wiley New York
    • (1960) Psychological Scaling: Theory and Applications
    • Tucker, L.R.1
  • 46
    • 0029118493 scopus 로고
    • Multiplicative interaction in generalized linear models
    • F.A. Van Eeuwijk Multiplicative interaction in generalized linear models Biometrics 51 1995 1017 1032
    • (1995) Biometrics , vol.51 , pp. 1017-1032
    • Van Eeuwijk, F.A.1
  • 47
    • 0001098205 scopus 로고
    • Estimation of principal components and related models by iterative least squares
    • P.R. Krishnaiah Academic Press New York
    • H. Wold Estimation of principal components and related models by iterative least squares P.R. Krishnaiah Multivariate Analysis 1966 Academic Press New York
    • (1966) Multivariate Analysis
    • Wold, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.