Principal component analysis

Analytical Methods - Tập 6 Số 9 - Trang 2812-2831
Rasmus Bro1,2,3, Age K. Smilde4,5,1,2,6
1Department of Food Science, University of Copenhagen, Rolighedsvej 30, Frederiksberg C, Denmark
2Frederiksberg C, Denmark
3University of Copenhagen
4Biosystems Data Analysis
5Biosystems Data Analysis, Swammerdam Institute for Life Sciences, University of Amsterdam, Science Park 904, 1098 XH, Amsterdam, The Netherlands
6Swammerdam Institute for Life Sciences

Tóm tắt

Principal component analysis is one of the most important and powerful methods in chemometrics as well as in a wealth of other areas.

Từ khóa


Tài liệu tham khảo

Skov, 2008, Anal. Chim. Acta, 615, 18, 10.1016/j.aca.2008.03.045

Ballabio, 2008, J. Chemom., 22, 457, 10.1002/cem.1173

K. Faber , Degrees of freedom for the residuals of a principal component analysis — A clarification , Chemometrics and Chemoinformatics , 2008 , vol. 93 , pp. 80–86

Martens, 2012, Chemom. Intell. Lab. Syst., 118, 246, 10.1016/j.chemolab.2012.05.015

J. M. F. ten Berge , Least squares optimization in multivariate analysis , DSWO Press , Leiden , 1993

Smilde, 2001, J. Chemom., 15, 405, 10.1002/cem.685

Pearson, 1901, Philos. Mag., 2, 559, 10.1080/14786440109462720

Hotelling, 1933, J. Educ. Psychol., 24, 417, 10.1037/h0071325

ten Berge, 1997, Br. J. Math. Stat. Psychol., 50, 367, 10.1111/j.2044-8317.1997.tb01152.x

S. Wold , C.Albano , W. J.Dunn, III , U.Edlund , K. H.Esbensen , P.Geladi , S.Hellberg , E.Johansson , W.Lindberg and M.Sjöström , Multivariate data analysis in chemistry , in Chemometrics. Mathematics and Statistics in Chemistry , ed. B. R. Kowalski , D. Reidel Publishing Company , Dordrecht , 1984 , pp. 17–95

Frank, 1989, Chemom. Intell. Lab. Syst., 5, 247, 10.1016/0169-7439(89)80052-8

J. C. Gower , A general theory of Biplots , in Recent Advances in Descriptive Multivariate Analysis , ed. W. J. Krzanowski , Clarendon Press , Oxford , 1995 , pp. 283–303

Carlier, 1996, Psychometrika, 61, 355, 10.1007/BF02294344

Gabriel, 1971, Biometrika, 58, 453, 10.1093/biomet/58.3.453

Bro, 2002, J. Chemom., 16, 387, 10.1002/cem.734

Andrews, 1997, Anal. Chim. Acta, 350, 341, 10.1016/S0003-2670(97)00270-5

Wentzell, 1997, J. Chemom., 11, 339, 10.1002/(SICI)1099-128X(199707)11:4<339::AID-CEM476>3.0.CO;2-L

T. W. Anderson , An Introduction to Multivariate Statistical Analysis , Wiley , 2nd edn, 1984

Timmerman, 2007, Br. J. Math. Stat. Psychol., 60, 295, 10.1348/000711006X109636

Babamoradi, 2013, Chemom. Intell. Lab. Syst., 120, 97, 10.1016/j.chemolab.2012.10.007

van den Berg, 2006, BMC Genomics, 7

Bro, 2003, J. Chemom., 17, 16, 10.1002/cem.773

Afseth, 2006, Appl. Spectrosc., 60, 1358, 10.1366/000370206779321454

Brown, 2000, Appl. Spectrosc., 54, 1055, 10.1366/0003702001950571

Deming, 1993, J. Chemom., 7, 393, 10.1002/cem.1180070506

Martens, 1991, J. Pharm. Biomed. Anal., 9, 625, 10.1016/0731-7085(91)80188-F

Pardo, 2000, Sens. Actuators, B, 69, 397, 10.1016/S0925-4005(00)00499-8

Bro, 2003, Anal. Chim. Acta, 500, 185, 10.1016/S0003-2670(03)00681-0

de Noord, 1994, Chemom. Intell. Lab. Syst., 23, 65, 10.1016/0169-7439(93)E0065-C

Cattell, 1966, Multivariate Behav. Res., 1, 245, 10.1207/s15327906mbr0102_10

Bentler, 1996, Br. J. Math. Stat. Psychol., 49, 299, 10.1111/j.2044-8317.1996.tb01090.x

Bentler, 1998, Psychometrika, 63, 131, 10.1007/BF02294771

Henry, 1999, Chemom. Intell. Lab. Syst., 48, 91, 10.1016/S0169-7439(99)00015-5

Kaiser, 1960, Educ. Psychol. Meas., 20, 141, 10.1177/001316446002000116

Cliff, 1988, Psychol. Bull., 103, 276, 10.1037/0033-2909.103.2.276

Guttman, 1954, Psychometrika, 19, 149, 10.1007/BF02289162

Frontier, 1976, J. Exp. Mar. Biol. Ecol., 25, 67, 10.1016/0022-0981(76)90076-9

MacArthur, 1957, Proc. Natl. Acad. Sci. U. S. A., 43, 293, 10.1073/pnas.43.3.293

Wold, 1978, Technometrics, 20, 397, 10.1080/00401706.1978.10489693

Krzanowski, 1995, Multivariate Behav. Res., 30, 149, 10.1207/s15327906mbr3002_2

Bro, 2008, Anal. Bioanal. Chem., 390, 1241, 10.1007/s00216-007-1790-1

Gleason, 1975, Psychometrika, 40, 229, 10.1007/BF02291569

Nelson, 1996, Chemom. Intell. Lab. Syst., 35, 45, 10.1016/S0169-7439(96)00007-X

Grung, 1998, Chemom. Intell. Lab. Syst., 42, 125, 10.1016/S0169-7439(98)00031-8

Walczak, 2001, Chemom. Intell. Lab. Syst., 58, 15, 10.1016/S0169-7439(01)00131-9

Adams, 2002, Int. J. Pharm., 234, 169, 10.1016/S0378-5173(01)00966-8

Mandel, 1969, J. Res. Natl. Bur. Stand., Sect. B, 73B, 309, 10.6028/jres.073B.031

Devlin, 1981, J. Am. Stat. Assoc., 76, 354, 10.1080/01621459.1981.10477654

Borgen, 1993, Anal. Chim. Acta, 277, 489, 10.1016/0003-2670(93)80460-3

Xie, 1993, J. Chemom., 7, 527, 10.1002/cem.1180070606

Hove, 1995, Chemom. Intell. Lab. Syst., 27, 33, 10.1016/0169-7439(95)80005-T

Chen, 1996, AIChE J., 42, 3563, 10.1002/aic.690421228

Chen, 1996, Anal. Lett., 29, 1647, 10.1080/00032719608001511

Singh, 1996, Chemom. Intell. Lab. Syst., 33, 75, 10.1016/0169-7439(95)00087-9

Thomas, 2000, Technometrics, 42, 168, 10.1080/00401706.2000.10485996

Hoo, 2002, Comput. Chem. Eng., 26, 17, 10.1016/S0098-1354(01)00734-7

Hubert, 2005, Technometrics, 47, 64, 10.1198/004017004000000563

Møller, 2005, J. Chemom., 19, 549, 10.1002/cem.962

Rousseeuw, 2006, Crit. Rev. Anal. Chem., 36, 221, 10.1080/10408340600969403

Hotelling, 1931, Ann. Math. Stat., 2, 360, 10.1214/aoms/1177732979

Jackson, 1980, J. Qual. Tech., 12, 201, 10.1080/00224065.1980.11980967

A. M. Mood , F. R.Graybill and D. C.Boes , Introduction to the Theory of Statistics , McGraw-Hill , 3rd edn, 1974

Nomikos, 1995, Technometrics, 37, 41, 10.1080/00401706.1995.10485888

Kowalski, 1972, Anal. Chem., 44, 2176, 10.1021/ac60321a002

Westerhuis, 2000, Chemom. Intell. Lab. Syst., 51, 95, 10.1016/S0169-7439(00)00062-9

Nomikos, 1996, ISA Trans., 35, 259, 10.1016/S0019-0578(96)00035-3

B. M. Wise , N. L.Ricker and D.Veltkamp , Upset and Sensor Failure Detection in Multivariate Processes , AIChE 1989 Annual Meeting , Nov. 1989