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Volumn 5, Issue 1, 2013, Pages 1-19

Partial least squares algorithms and methods

Author keywords

Multi block data; NIPALS; Path models; Shrinkage

Indexed keywords

BROAD SPECTRUM; COMPUTATIONAL FLOWS; ITERATIVE ALGORITHM; LEAST SQUARE; MULTI-BLOCK DATA; MULTIVARIATE TECHNIQUES; NIPALS; OPTIMIZATION CRITERIA; PARTIAL LEAST SQUARE (PLS); PARTIAL LEAST SQUARES ALGORITHMS; PATH MODELS; PLS MODELS; PLS REGRESSION; PRINCIPAL COMPONENTS;

EID: 84871837951     PISSN: 19395108     EISSN: 19390068     Source Type: Journal    
DOI: 10.1002/wics.1239     Document Type: Review
Times cited : (90)

References (60)
  • 1
    • 84871835904 scopus 로고
    • Non linear estimation by iterative least squares procedure, Research paper in Statistics: Festschift for J. Neyman. F. David
    • Wold H. Non linear estimation by iterative least squares procedure, Research paper in Statistics: Festschift for J. Neyman. F. David, 1966.
    • (1966)
    • Wold, H.1
  • 2
    • 0001098205 scopus 로고
    • Estimation of principal component and related models by iterative least squares
    • ed. New York: Academic Press
    • Wold H. Estimation of principal component and related models by iterative least squares. In: Krishnaiah PR, ed. Multivariate Analysis. New York: Academic Press; 1966, 391-420.
    • (1966) Multivariate Analysis , pp. 391-420
    • Wold, H.1    Krishnaiah, P.R.2
  • 4
    • 0008645615 scopus 로고
    • Causal flows with latent variables. Partings of the ways in the light of NIPALS modelling
    • Wold H. Causal flows with latent variables. Partings of the ways in the light of NIPALS modelling. Eur Econ Rev 1984, 5:67-86.
    • (1984) Eur Econ Rev , vol.5 , pp. 67-86
    • Wold, H.1
  • 5
    • 0002692783 scopus 로고
    • Soft modeling by latent variables: the nonlinear iterative partial least squares approach
    • ed. London: Academic Press
    • Wold H. Soft modeling by latent variables: the nonlinear iterative partial least squares approach. In: Gani J, ed. Perspectives in Probability and Statistics, Papers in Honor of M.S. Bartlett. London: Academic Press; 1975, 117-142.
    • (1975) Perspectives in Probability and Statistics, Papers in Honor of M.S. Bartlett , pp. 117-142
    • Wold, H.1    Gani, J.2
  • 6
    • 0001877951 scopus 로고
    • Soft modeling: the basic design and some extensions
    • eds., Part II. Amsterdam: North-Holland
    • Wold H. Soft modeling: the basic design and some extensions. In: Jöreskog KG, Wold H, eds. Systems under Indirect Observation, Part II. Amsterdam: North-Holland; 1982, 1-54.
    • (1982) Systems under Indirect Observation , pp. 1-54
    • Wold, H.1    Jöreskog, K.G.2    Wold, H.3
  • 8
    • 0000243476 scopus 로고
    • A general method for analysis of covariance structure
    • Jöreskog KJ. A general method for analysis of covariance structure. Biometrika 1970, 57:239-251.
    • (1970) Biometrika , vol.57 , pp. 239-251
    • Jöreskog, K.J.1
  • 10
    • 0001681052 scopus 로고
    • The collinearity problem in linear regression. the PLS approach to generalised inverses
    • Wold S, Ruhe A, Wold H, Dunn W. The collinearity problem in linear regression. the PLS approach to generalised inverses. J Sci Stat Comput, SIAM 1984, 5:735-743.
    • (1984) J Sci Stat Comput, SIAM , vol.5 , pp. 735-743
    • Wold, S.1    Ruhe, A.2    Wold, H.3    Dunn, W.4
  • 13
    • 84871837635 scopus 로고    scopus 로고
    • PATHMOX approach: segmentation trees in partial least squares path modeling, PhD Thesis, Universitat Politècnica de Catalunya, Barcelona, Spain
    • Sánchez G. PATHMOX approach: segmentation trees in partial least squares path modeling, PhD Thesis, Universitat Politècnica de Catalunya, Barcelona, Spain, 2009.
    • (2009)
    • Sánchez, G.1
  • 15
    • 76349111180 scopus 로고    scopus 로고
    • Partial least squares regression, projection on latent structures, PLS-regression
    • Abdi H. Partial least squares regression, projection on latent structures, PLS-regression. WIRES: Comput Stat 2010, 2:97-106.
    • (2010) WIRES: Comput Stat , vol.2 , pp. 97-106
    • Abdi, H.1
  • 16
    • 0029358697 scopus 로고
    • PLS shrinks
    • De Jong S. PLS shrinks. J Chemometr 1995, 9:323-326.
    • (1995) J Chemometr , vol.9 , pp. 323-326
    • De Jong, S.1
  • 17
    • 85162676194 scopus 로고
    • PLS regression methods
    • Höskuldsson A. PLS regression methods. J Chemometr 1988, 2:211-228.
    • (1988) J Chemometr , vol.2 , pp. 211-228
    • Höskuldsson, A.1
  • 19
    • 84952149204 scopus 로고
    • A statistical view of some chemometrics regression tools
    • Frank IE, Friedman JH. A statistical view of some chemometrics regression tools. Technometrics 1993, 35:109-135.
    • (1993) Technometrics , vol.35 , pp. 109-135
    • Frank, I.E.1    Friedman, J.H.2
  • 20
    • 21344479527 scopus 로고
    • An interpretation of partial least squares
    • Garthwaite PH. An interpretation of partial least squares. J Am Stat Assoc 1994, 89:122-127.
    • (1994) J Am Stat Assoc , vol.89 , pp. 122-127
    • Garthwaite, P.H.1
  • 21
    • 84942484786 scopus 로고
    • Ridge regression: biased estimation of non-orthogonal components
    • Hoerl AE, Kennard RW. Ridge regression: biased estimation of non-orthogonal components. Technometrics 1970, 12:55-67.
    • (1970) Technometrics , vol.12 , pp. 55-67
    • Hoerl, A.E.1    Kennard, R.W.2
  • 22
    • 0001247934 scopus 로고
    • A note on the use of principal components in regression
    • Jolliffe IT. A note on the use of principal components in regression. J R Stat Soc [Ser C](Appl Stat) 1982, 31:300-303.
    • (1982) J R Stat Soc [Ser C](Appl Stat) , vol.31 , pp. 300-303
    • Jolliffe, I.T.1
  • 23
    • 0344418784 scopus 로고
    • The significance of simultaneous methods of parameter estimation in econometric models
    • Ball RJ. The significance of simultaneous methods of parameter estimation in econometric models. Appl Stat 1963, 12:14-25.
    • (1963) Appl Stat , vol.12 , pp. 14-25
    • Ball, R.J.1
  • 26
    • 0024805647 scopus 로고
    • Neurobehavioral effects of prenatal alcohol: Part ii. partial least squares analysis
    • Sampson PD, Streissguth AP, Barr HM, Bookstein FL. Neurobehavioral effects of prenatal alcohol: Part ii. partial least squares analysis. Neurotoxicol Teratol 1989, 11:477-491.
    • (1989) Neurotoxicol Teratol , vol.11 , pp. 477-491
    • Sampson, P.D.1    Streissguth, A.P.2    Barr, H.M.3    Bookstein, F.L.4
  • 28
    • 84871839793 scopus 로고    scopus 로고
    • A survey on partial least squares (PLS) methods, with emphasis on the two-block case, Technical Report No 371, Department of Statistics, University of Washington, USA: Seattle
    • Wegelin JA. A survey on partial least squares (PLS) methods, with emphasis on the two-block case, Technical Report No 371, Department of Statistics, University of Washington, USA: Seattle, 2000.
    • (2000)
    • Wegelin, J.A.1
  • 29
    • 0002983096 scopus 로고    scopus 로고
    • Identifying critical success factors in defense development projects: a multivariate analysis
    • Tishler A, Dvir D, Shenhar A, Lipovetsky S. Identifying critical success factors in defense development projects: a multivariate analysis. Technol Forecast Soc Change 1996, 51:151-171.
    • (1996) Technol Forecast Soc Change , vol.51 , pp. 151-171
    • Tishler, A.1    Dvir, D.2    Shenhar, A.3    Lipovetsky, S.4
  • 30
    • 0000503256 scopus 로고
    • An inter-battery method of factor analysis
    • Tucker LR. An inter-battery method of factor analysis. Psychometrika 1958, 23:111-136.
    • (1958) Psychometrika , vol.23 , pp. 111-136
    • Tucker, L.R.1
  • 31
    • 0000356178 scopus 로고
    • Two structural equation models: LISREL and PLS applied to consumer exit-voice theory
    • Fornell C, Bookstein FL. Two structural equation models: LISREL and PLS applied to consumer exit-voice theory. J Mark Res 1982, XIX:440-452.
    • (1982) J Mark Res , vol.21 , pp. 440-452
    • Fornell, C.1    Bookstein, F.L.2
  • 32
    • 84871823432 scopus 로고    scopus 로고
    • Addinsoft. XLSTAT 2012. Paris. Available at: (Accessed November 29, 2012).
    • Addinsoft. XLSTAT 2012. 2012. Paris. Available at: http:www.xlstat.com/en/products/xlstat-plspm/. (Accessed November 29, 2012).
    • (2012)
  • 33
    • 84871822114 scopus 로고
    • The convergence of NIPALS estimation procedures for six path models with one or two latent variables, Technical Report, University of Göteborg
    • Lyttkens E, Areskoug B, Wold H. The convergence of NIPALS estimation procedures for six path models with one or two latent variables, Technical Report, University of Göteborg, 1975.
    • (1975)
    • Lyttkens, E.1    Areskoug, B.2    Wold, H.3
  • 34
    • 84871838915 scopus 로고    scopus 로고
    • Analysis of high-dimensional data with partial least squares and boosting, PhD Thesis, Technische Universität Berlin, Berlin, Germany
    • Krämer N. Analysis of high-dimensional data with partial least squares and boosting, PhD Thesis, Technische Universität Berlin, Berlin, Germany, 2007.
    • (2007)
    • Krämer, N.1
  • 35
    • 77951208605 scopus 로고    scopus 로고
    • On the convergence of the partial least squares path modeling algorithm
    • Henseler J. On the convergence of the partial least squares path modeling algorithm. Comput Stat 2010, 25:107-120.
    • (2010) Comput Stat , vol.25 , pp. 107-120
    • Henseler, J.1
  • 36
    • 84871837524 scopus 로고
    • LVPLS Program Manual, version 1.8. Technical Report, Zentralarchiv für Empirische Sozialforschung, Universität Zu Köln, Köln
    • Lohmöller JB. LVPLS Program Manual, version 1.8. Technical Report, Zentralarchiv für Empirische Sozialforschung, Universität Zu Köln, Köln, 1987.
    • (1987)
    • Lohmöller, J.B.1
  • 38
    • 34347224383 scopus 로고    scopus 로고
    • PLS path modeling: computation of latent variables with the estimation mode B
    • Hanafi M. PLS path modeling: computation of latent variables with the estimation mode B. Comput Stat 2007, 22:275-292.
    • (2007) Comput Stat , vol.22 , pp. 275-292
    • Hanafi, M.1
  • 39
    • 0000009769 scopus 로고
    • Evaluating structural equation models with unobservable variables and measurement error
    • Fornell CC, Larcker DF. Evaluating structural equation models with unobservable variables and measurement error. J Mark Res 1981, 48:39-50.
    • (1981) J Mark Res , vol.48 , pp. 39-50
    • Fornell, C.C.1    Larcker, D.F.2
  • 41
    • 0000629975 scopus 로고
    • Cross-validatory choice and assessment of statistical predictions
    • Stone M. Cross-validatory choice and assessment of statistical predictions. J R Stat Soc 1974, 36:111-147.
    • (1974) J R Stat Soc , vol.36 , pp. 111-147
    • Stone, M.1
  • 42
    • 0015973904 scopus 로고
    • A predictive approach to the random effect model
    • Geisser S. A predictive approach to the random effect model. Biometrika 1974, 61:101-107.
    • (1974) Biometrika , vol.61 , pp. 101-107
    • Geisser, S.1
  • 45
    • 0000107975 scopus 로고
    • Relations between two sets of variates
    • Hotelling H. Relations between two sets of variates. Biometrika 1936, 28:321-377.
    • (1936) Biometrika , vol.28 , pp. 321-377
    • Hotelling, H.1
  • 46
    • 0000442911 scopus 로고
    • The use and interpretation of principal component analysis in applied research
    • A 26
    • Rao CR. The use and interpretation of principal component analysis in applied research. Sankhya 1964, A 26:329-359.
    • (1964) Sankhya , pp. 329-359
    • Rao, C.R.1
  • 47
    • 34250300622 scopus 로고
    • Redundancy analysis. an alternative for canonical correlation analysis
    • Van de Wollenberg AL. Redundancy analysis. an alternative for canonical correlation analysis. Psychometrika 1977, 42:207-219.
    • (1977) Psychometrika , vol.42 , pp. 207-219
    • Van de Wollenberg, A.L.1
  • 48
    • 0141538927 scopus 로고
    • Relations among m sets of measures
    • Horst P. Relations among m sets of measures. Psychometrika 1961, 26:129-149.
    • (1961) Psychometrika , vol.26 , pp. 129-149
    • Horst, P.1
  • 49
    • 0003019333 scopus 로고
    • Generalization of canonical analysis to three or more sets of variables, Proceedings of the 76th Convention of the American Psychological Association
    • Carroll JD. Generalization of canonical analysis to three or more sets of variables, Proceedings of the 76th Convention of the American Psychological Association, vol. 3, 1968; 227-228.
    • (1968) , vol.3 , pp. 227-228
    • Carroll, J.D.1
  • 50
    • 0000086433 scopus 로고
    • Multiple factor analysis (AFMULT package)
    • Escofier B, Pagés J. Multiple factor analysis (AFMULT package). Comput Stat Data Anal 1994, 18:121-140.
    • (1994) Comput Stat Data Anal , vol.18 , pp. 121-140
    • Escofier, B.1    Pagés, J.2
  • 51
    • 0000020007 scopus 로고
    • Canonical analysis of several sets of variables
    • Kettenring JR. Canonical analysis of several sets of variables. Biometrika 1971, 58:433-451.
    • (1971) Biometrika , vol.58 , pp. 433-451
    • Kettenring, J.R.1
  • 53
    • 84871830012 scopus 로고
    • Maximierung der Summe erklärter Varianzen in linearrekursiven Strukturgleichungsmodellen mit multiple Indikatoren: Eine Alternative zum Schätzmodus B des Partial-Least-Squares-Verfahren, PhD Thesis, Universität Hamburg, Hamburg, Germany
    • Glang M. Maximierung der Summe erklärter Varianzen in linearrekursiven Strukturgleichungsmodellen mit multiple Indikatoren: Eine Alternative zum Schätzmodus B des Partial-Least-Squares-Verfahren, PhD Thesis, Universität Hamburg, Hamburg, Germany, 1988.
    • (1988)
    • Glang, M.1
  • 54
    • 28844459965 scopus 로고
    • Global optimisation criteria of the pls-algorithm in recursive path models with latent variables
    • eds. Amsterdam: Elsevier Science;
    • Mathes H. Global optimisation criteria of the pls-algorithm in recursive path models with latent variables. In: Haagen K, Bartholomew DJ, Deister M, eds. Statistical Modelling and Latent Variables. Amsterdam: Elsevier Science; 1993.
    • (1993) Statistical Modelling and Latent Variables
    • Mathes, H.1    Haagen, K.2    Bartholomew, D.J.3    Deister, M.4
  • 55
    • 79954628374 scopus 로고    scopus 로고
    • Regularized generalized canonical correlation analysis
    • Tenenhaus A, Tenenhaus M. Regularized generalized canonical correlation analysis. Psychometrika 2011, 76:257-284.
    • (2011) Psychometrika , vol.76 , pp. 257-284
    • Tenenhaus, A.1    Tenenhaus, M.2
  • 58
    • 74049093630 scopus 로고    scopus 로고
    • Sparse partial least squares regression for simultaneous dimension reduction and variable selection
    • Chun H, Keleş S. Sparse partial least squares regression for simultaneous dimension reduction and variable selection. J R Stat Soc [Ser B] (Stat Methodol) 2010, 72:3-25.
    • (2010) J R Stat Soc [Ser B] (Stat Methodol) , vol.72 , pp. 3-25
    • Chun, H.1    Keleş, S.2
  • 59
    • 79960116378 scopus 로고    scopus 로고
    • The degrees of freedom of partial least squares regression
    • Krämer N, Sugiyama M. The degrees of freedom of partial least squares regression. J Am Stat Assoc 2011, 106:697-705.
    • (2011) J Am Stat Assoc , vol.106 , pp. 697-705
    • Krämer, N.1    Sugiyama, M.2
  • 60
    • 84871843642 scopus 로고    scopus 로고
    • Non-metric partial least squares
    • Russolillo G. Non-metric partial least squares. Electron J Statistics 2012, 6:1641-1669.
    • (2012) Electron J Statistics , vol.6 , pp. 1641-1669
    • Russolillo, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.