메뉴 건너뛰기




Volumn 25, Issue 1, 2011, Pages 28-40

Path modelling by sequential PLS regression

Author keywords

Interpretation; LS PLS; Multi block; Path models; PLS; Regression

Indexed keywords

DATA HANDLING; REGRESSION ANALYSIS; STATISTICS;

EID: 79251589965     PISSN: 08869383     EISSN: 1099128X     Source Type: Journal    
DOI: 10.1002/cem.1357     Document Type: Article
Times cited : (87)

References (49)
  • 1
    • 0004132705 scopus 로고
    • Multivariate Calibration
    • John Wiley and Sons: Chichester, UK,
    • Martens H, Næs T. Multivariate Calibration. John Wiley and Sons: Chichester, UK, 1989.
    • (1989)
    • Martens, H.1    Næs, T.2
  • 2
    • 0002864926 scopus 로고
    • On the nature of size factors
    • Wright S. On the nature of size factors. Genetics 1918; 3: 174-367.
    • (1918) Genetics , vol.3 , pp. 174-367
    • Wright, S.1
  • 3
    • 0001445915 scopus 로고
    • The method of path coefficients
    • Wright S. The method of path coefficients. Ann. Math. Stat. 1934; 5: 161-215.
    • (1934) Ann. Math. Stat. , vol.5 , pp. 161-215
    • Wright, S.1
  • 4
    • 0000594068 scopus 로고
    • Path coefficients and path regressions: alternative or complementary concepts
    • Wright S. Path coefficients and path regressions: alternative or complementary concepts. Biometrics 1960; 16: 189-202.
    • (1960) Biometrics , vol.16 , pp. 189-202
    • Wright, S.1
  • 5
    • 0003607151 scopus 로고
    • Multivariate Analysis
    • Academic Press: UK,
    • Mardia KV, Kent JT, Bibby JM. Multivariate Analysis. Academic Press: UK, 1979.
    • (1979)
    • Mardia, K.V.1    Kent, J.T.2    Bibby, J.M.3
  • 6
    • 0013953617 scopus 로고
    • Some mathematical notes on three-mode factor analysis
    • Tucker LR. Some mathematical notes on three-mode factor analysis. Psykometrica 1966; (31): 279-311.
    • (1966) Psykometrica , vol.31 , pp. 279-311
    • Tucker, L.R.1
  • 8
    • 0000736392 scopus 로고    scopus 로고
    • Analysis of multiblock and hierarchical PCA and PLS models
    • Westerhuis JA, Kourti T, MacGregor JF. Analysis of multiblock and hierarchical PCA and PLS models. J. Chemometr. 1998; 12: 301-321.
    • (1998) J. Chemometr. , vol.12 , pp. 301-321
    • Westerhuis, J.A.1    Kourti, T.2    MacGregor, J.F.3
  • 9
    • 0001369487 scopus 로고    scopus 로고
    • Hierarchical multi-block PLS and PC models for easier model interpretation and as alternative to variable selection
    • Wold S, Kettaneh N, Tjessem K. Hierarchical multi-block PLS and PC models for easier model interpretation and as alternative to variable selection. J. Chemometr. 1996; 10: 463-482.
    • (1996) J. Chemometr. , vol.10 , pp. 463-482
    • Wold, S.1    Kettaneh, N.2    Tjessem, K.3
  • 10
    • 0003019333 scopus 로고
    • Generalisation of canonical analysis to three or more sets of variables Proceedings of the 76th convention of the American Psychological Association
    • Carroll JD. Generalisation 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
  • 11
    • 33646585183 scopus 로고    scopus 로고
    • A bridge between Tucker-1 and Carroll's generalised canonical analysis
    • Dahl T, Næs T. A bridge between Tucker-1 and Carroll's generalised canonical analysis. Comput. Stat. Data Anal. 2006; 50(11): 3086-3098.
    • (2006) Comput. Stat. Data Anal. , vol.50 , Issue.11 , pp. 3086-3098
    • Dahl, T.1    Næs, T.2
  • 12
    • 33750682323 scopus 로고    scopus 로고
    • Analysis of K sets of data, with differential emphasis on agreement between and within sets
    • Hanafi M, Kiers H. Analysis of K sets of data, with differential emphasis on agreement between and within sets. Comput. Stat. Data Anal. 2006; 51: 1491-1508.
    • (2006) Comput. Stat. Data Anal. , vol.51 , pp. 1491-1508
    • Hanafi, M.1    Kiers, H.2
  • 13
    • 0000020007 scopus 로고
    • Canonical analysis of several sets of variables
    • Kettenring JR. Canonical analysis of several sets of variables. Biometrika 1973; 56: 433-451.
    • (1973) Biometrika , vol.56 , pp. 433-451
    • Kettenring, J.R.1
  • 14
    • 0003153525 scopus 로고
    • Linear relations between k sets of variables
    • van de Geer JP. Linear relations between k sets of variables. Psychometrika 1984; 49: 79-94.
    • (1984) Psychometrika , vol.49 , pp. 79-94
    • van de Geer, J.P.1
  • 15
    • 78650650907 scopus 로고    scopus 로고
    • Handbook of Partial Least Squares Concepts, Methods Applications
    • V, Esposito Vinzi WW, Chin J, Henseler H Wang (eds). Springer: Berlin,
    • Tenenhaus M, Hanafi M. A bridge between PLS path modelling and multi-block data analysis. In Handbook of Partial Least Squares Concepts, Methods Applications, V, Esposito Vinzi WW, Chin J, Henseler H Wang (eds). Springer: Berlin, 2010.
    • (2010) A bridge between PLS path modelling and multi-block data analysis
    • Tenenhaus, M.1    Hanafi, M.2
  • 16
    • 0001571057 scopus 로고
    • Structural analysis of covariance and correlation matrices
    • Jøreskog KG. Structural analysis of covariance and correlation matrices. Psychometrika 1978; 43: 443-477.
    • (1978) Psychometrika , vol.43 , pp. 443-477
    • Jøreskog, K.G.1
  • 18
    • 85101432319 scopus 로고
    • Structural Equations with Latent Variables
    • Wiley: NY,
    • Bollen KA. Structural Equations with Latent Variables. Wiley: NY, 1989.
    • (1989)
    • Bollen, K.A.1
  • 19
    • 0003424102 scopus 로고
    • Systems Under Indirect Observations. Part I and Part II
    • North Holland Publishing Company: North Holland, Amsterdam,
    • Jøreskog KG, Wold H. Systems Under Indirect Observations. Part I and Part II. North Holland Publishing Company: North Holland, Amsterdam, 1982.
    • (1982)
    • Jøreskog, K.G.1    Wold, H.2
  • 21
    • 28844433766 scopus 로고    scopus 로고
    • PLS regression, PLS path modelling and generalised Procrustean analysis: a combined approach for multi-block analysis
    • Tenenhaus M, Vinzi VE. PLS regression, PLS path modelling and generalised Procrustean analysis: a combined approach for multi-block analysis. J. of Chemometr. 2005; 19: 145-153.
    • (2005) J. of Chemometr. , vol.19 , pp. 145-153
    • Tenenhaus, M.1    Vinzi, V.E.2
  • 22
    • 57149102106 scopus 로고    scopus 로고
    • Multi-block and path modelling procedures
    • Høskuldsson A. Multi-block and path modelling procedures. J. Chemometr. 2008; 222: 571-579.
    • (2008) J. Chemometr. , vol.222 , pp. 571-579
    • Høskuldsson, A.1
  • 23
    • 85162731973 scopus 로고
    • A multiblock partial least squares algorithm for investigating complex chemical systems
    • Wangen LE, Kowalski BR. A multiblock partial least squares algorithm for investigating complex chemical systems. J. Chemometr. 1989; 3: 3-20.
    • (1989) J. Chemometr. , vol.3 , pp. 3-20
    • Wangen, L.E.1    Kowalski, B.R.2
  • 24
    • 0003424102 scopus 로고
    • Systems Under Indirect Observation-Part II
    • Jøreskog and Wold (eds). North Holland Publishing Company: North Holland, Amsterdam
    • Wold H. Soft modelling. The basic design and some extensions. In Systems Under Indirect Observation-Part II. Jøreskog and Wold (eds). North Holland Publishing Company: North Holland, Amsterdam, 1982; 1-54.
    • (1982) Soft modelling. The basic design and some extensions , pp. 1-54
    • Wold, H.1
  • 25
    • 24944465238 scopus 로고    scopus 로고
    • A comparison of methods for analysing regression models with both spectral and designed variables
    • Jørgensen K, Segtnan V, Thyholt K, Næs T. A comparison of methods for analysing regression models with both spectral and designed variables. J. Chemometr. 2004; 18(10): 451-464.
    • (2004) J. Chemometr. , vol.18 , Issue.10 , pp. 451-464
    • Jørgensen, K.1    Segtnan, V.2    Thyholt, K.3    Næs, T.4
  • 26
    • 34347270105 scopus 로고    scopus 로고
    • Combining designed experiments with several blocks of spectroscopic data
    • Jørgensen K, Mevik B-H, Næs T. Combining designed experiments with several blocks of spectroscopic data. Chemolab 2007; 88(2): 143-212.
    • (2007) Chemolab , vol.88 , Issue.2 , pp. 143-212
    • Jørgensen, K.1    Mevik, B.-H.2    Næs, T.3
  • 27
    • 53649095220 scopus 로고    scopus 로고
    • Regression models with process variables and parallel blocks of raw material measurements
    • Måge I, Mevik B-H, Næs T. Regression models with process variables and parallel blocks of raw material measurements. J. Chemometr. 22: 2008; 443-456.
    • (2008) J. Chemometr. , vol.22 , pp. 443-456
    • Måge, I.1    Mevik, B.-H.2    Næs, T.3
  • 28
    • 0004045784 scopus 로고
    • Analyses factorielles simples et multiples
    • Dunod: Paris,
    • Escofier B, Pages J. Analyses factorielles simples et multiples. Dunod: Paris, 1988.
    • (1988)
    • Escofier, B.1    Pages, J.2
  • 30
    • 0003653587 scopus 로고    scopus 로고
    • Latent Variable Models
    • Laurance Erlbaum Associates: New Jersey,
    • Loehlin JC. Latent Variable Models. Laurance Erlbaum Associates: New Jersey, 2004.
    • (2004)
    • Loehlin, J.C.1
  • 31
    • 0003398906 scopus 로고    scopus 로고
    • Causality. Models, Reasoning and Inference
    • Cambridge University Press: UK,
    • Pearl J. Causality. Models, Reasoning and Inference. Cambridge University Press: UK, 2000.
    • (2000)
    • Pearl, J.1
  • 33
    • 0042482984 scopus 로고    scopus 로고
    • Generalised Latent Variables Modelling
    • Chapman and Hall: UK,
    • Skrondahl A, Rabe-Hesketh S. Generalised Latent Variables Modelling. Chapman and Hall: UK, 2004.
    • (2004)
    • Skrondahl, A.1    Rabe-Hesketh, S.2
  • 34
    • 85153991190 scopus 로고    scopus 로고
    • Personal communication about research on PLS path modelling. .
    • Tenenhaus M. Personal communication about research on PLS path modelling. 2008.
    • (2008)
    • Tenenhaus, M.1
  • 35
    • 85153974075 scopus 로고    scopus 로고
    • A Joint Partial Least Squares Component-based Approach to Structural Equation Modeling and Multi-block Data Analysis. PLS'09-6th International Conference on Partial Least Squares and Related Methods, BeiHang University, Beijing, China, 06 Sept. 2009. (Plenary Invited Speaker).
    • Vinzi VE. 2009; A Joint Partial Least Squares Component-based Approach to Structural Equation Modeling and Multi-block Data Analysis. PLS'09-6th International Conference on Partial Least Squares and Related Methods, BeiHang University, Beijing, China, 06 Sept. 2009. (Plenary Invited Speaker).
    • (2009)
    • Vinzi, V.E.1
  • 36
    • 85153994460 scopus 로고    scopus 로고
    • A joint use of PLS Regression and PLS Path Modelling for a data analysis approach to latent variable modelling 57th Session of the International Statistical Institute (ISI), International Statistical Institute (ISI), Durban, South Africa, 18 August 2009 (Invited Paper Session).
    • Vinzi VE, Russolillo G, Trinchera L. 2009; A joint use of PLS Regression and PLS Path Modelling for a data analysis approach to latent variable modelling 57th Session of the International Statistical Institute (ISI), International Statistical Institute (ISI), Durban, South Africa, 18 August 2009 (Invited Paper Session).
    • (2009)
    • Vinzi, V.E.1    Russolillo, G.2    Trinchera, L.3
  • 37
    • 0003972541 scopus 로고    scopus 로고
    • Structural Equation Modelling
    • Sage Publications: UK,
    • Kaplan D. Structural Equation Modelling. Sage Publications: UK, 2000.
    • (2000)
    • Kaplan, D.1
  • 38
    • 0003529708 scopus 로고
    • LISREL 7. A Guide to the Program and Applications
    • SPSS, Inc.: Chicago,
    • Jøreskog KG, Sørbom D. LISREL 7. A Guide to the Program and Applications. SPSS, Inc.: Chicago, 1988.
    • (1988)
    • Jøreskog, K.G.1    Sørbom, D.2
  • 39
    • 34347224383 scopus 로고    scopus 로고
    • PLS path modelling: computations of latent variables with the estimation model B
    • Hanafi M. PLS path modelling: computations of latent variables with the estimation model B. Comput. Stat. 2007; 22: 276-292.
    • (2007) Comput. Stat. , vol.22 , pp. 276-292
    • Hanafi, M.1
  • 40
    • 85153989307 scopus 로고    scopus 로고
    • A PLS approach to regularised generalised canonical correlation analysis. Psykometrika (in press). .
    • Tenenhaus A, Tenenhaus M. A PLS approach to regularised generalised canonical correlation analysis. Psykometrika (in press). 2010.
    • (2010)
    • Tenenhaus, A.1    Tenenhaus, M.2
  • 41
    • 0041408309 scopus 로고    scopus 로고
    • Optimised score plot by principal components of prediction
    • Langsrud Ø, Næs T. Optimised score plot by principal components of prediction. Chemolab 2003; 68: 61-74.
    • (2003) Chemolab , vol.68 , pp. 61-74
    • Langsrud, O.1    Næs, T.2
  • 42
    • 0003451932 scopus 로고
    • Lecture Notes in Mathematics
    • The multivariate calibration problem in chemistry solved by the PLS method. Proc. Conf. matrix Pencils. (A. Ruhe, B. Kågström ets.). March 1982., Springer Verlag: Heidelberg
    • Wold S, Martens H, Wold H. The multivariate calibration problem in chemistry solved by the PLS method. Proc. Conf. matrix Pencils. (A. Ruhe, B. Kågström ets.). March 1982. Lecture Notes in Mathematics, Springer Verlag: Heidelberg, 1983; 286-293.
    • (1983) , pp. 286-293
    • Wold, S.1    Martens, H.2    Wold, H.3
  • 43
    • 0000676992 scopus 로고    scopus 로고
    • Evaluation of alternative spectral feature extraction methods of textural images for multivariate modelling
    • Indahl UG, Næs T. Evaluation of alternative spectral feature extraction methods of textural images for multivariate modelling. J. Chemometr. 1998; 12(4): 261-278.
    • (1998) J. Chemometr. , vol.12 , Issue.4 , pp. 261-278
    • Indahl, U.G.1    Næs, T.2
  • 44
    • 0036083139 scopus 로고    scopus 로고
    • Orthogonal projections to latent structures (O-PLS)
    • Trygg J, Wold S. Orthogonal projections to latent structures (O-PLS). J. Chemometr. 2002; 16: 119-128.
    • (2002) J. Chemometr. , vol.16 , pp. 119-128
    • Trygg, J.1    Wold, S.2
  • 45
    • 0041817676 scopus 로고    scopus 로고
    • Compression into two-component PLS factorizations
    • Ergon R. Compression into two-component PLS factorizations. J. Chemometr. 2003; 17(6): 303-312.
    • (2003) J. Chemometr. , vol.17 , Issue.6 , pp. 303-312
    • Ergon, R.1
  • 46
    • 51749125870 scopus 로고    scopus 로고
    • The use of LS-PLS for improved understanding, monitoring and prediction of cheese
    • Jørgensen K, Næs T. The use of LS-PLS for improved understanding, monitoring and prediction of cheese. Chemolab 2008; 93: 11-19.
    • (2008) Chemolab , vol.93 , pp. 11-19
    • Jørgensen, K.1    Næs, T.2
  • 47
    • 0003658413 scopus 로고    scopus 로고
    • Multivariate Analysis of Quality: An Introduction
    • Wiley: Chichester, UK,
    • Martens H, Martens M. Multivariate Analysis of Quality: An Introduction. Wiley: Chichester, UK, 2001.
    • (2001)
    • Martens, H.1    Martens, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.