DOI: 10.1002/cem.1180020306. PLS regression methods

10.1002/cem.1180020306

Crossref journal-article

Wiley

Journal of Chemometrics (311)

Abstract

AbstractIn this paper we develop the mathematical and statistical structure of PLS regression. We show the PLS regression algorithm and how it can be interpreted in model building. The basic mathematical principles that lie behind two block PLS are depicted. We also show the statistical aspects of the PLS method when it is used for model building. Finally we show the structure of the PLS decompositions of the data matrices involved.

Bibliography

HÃ¶skuldsson, A. (1988). PLS regression methods. Journal of Chemometrics, 2(3), 211â228. Portico.

Authors 1

Agnar Höskuldsson (first)

References 12 Referenced 1,506

{'key': 'e_1_2_1_2_2', 'volume-title': 'Encyclopedia of Statistical Sciences', 'author': 'Wold H.', 'year': '1984'} / Encyclopedia of Statistical Sciences by Wold H. (1984)
{'key': 'e_1_2_1_3_2', 'volume': '185', 'author': 'Geladi P.', 'year': '1986', 'journal-title': 'Anal. Chim. Acta'} / Anal. Chim. Acta by Geladi P. (1986)
10.1016/0003-2670(86)80029-0
I. S.Helland Report 21 Department of Mathematics and Statistics Agricultural University of Norway (1986).
R.Manne Chemometrics and Intell. Lab. Syst. 187(1987). (10.1016/0169-7439(87)80096-5)
S.Wold S.Hellberg T.Lundstedt M.SjostromandH.Wold Bull. 46th ISI(1987).
{'key': 'e_1_2_1_8_2', 'first-page': '17', 'volume-title': 'Multivariate Data Analysis in Chemistry, in Chemometrics, Mathematics and Statistics in Chemistry', 'author': 'Wold S.', 'year': '1984'} / Multivariate Data Analysis in Chemistry, in Chemometrics, Mathematics and Statistics in Chemistry by Wold S. (1984)
10.1090/S0002-9947-1950-0051437-7
10.1016/0047-259X(79)90094-0
10.1002/0471725153
10.1080/00401706.1978.10489693
10.1016/0047-259X(78)90067-2

Dates

Type	When
Created	20 years, 3 months ago (May 28, 2005, 8:44 p.m.)
Deposited	1 year, 9 months ago (Nov. 20, 2023, 1:29 p.m.)
Indexed	5 days, 15 hours ago (Aug. 27, 2025, 11:35 a.m.)
Issued	37 years, 3 months ago (June 1, 1988)
Published	37 years, 3 months ago (June 1, 1988)
Published Online	20 years, 5 months ago (March 30, 2005)
Published Print	37 years, 3 months ago (June 1, 1988)

Funders 0

None

BibTeX

@article{H_skuldsson_1988, title={PLS regression methods}, volume={2}, ISSN={1099-128X}, url={http://dx.doi.org/10.1002/cem.1180020306}, DOI={10.1002/cem.1180020306}, number={3}, journal={Journal of Chemometrics}, publisher={Wiley}, author={Höskuldsson, Agnar}, year={1988}, month=jun, pages={211–228} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        27
      ]
    ],
    "date-time": "2025-08-27T15:35:06Z",
    "timestamp": 1756308906998
  },
  "reference-count": 12,
  "publisher": "Wiley",
  "issue": "3",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            2005,
            3,
            30
          ]
        ],
        "date-time": "2005-03-30T00:00:00Z",
        "timestamp": 1112140800000
      },
      "content-version": "vor",
      "delay-in-days": 6146,
      "URL": "http://onlinelibrary.wiley.com/termsAndConditions#vor"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1988,
        6
      ]
    ]
  },
  "abstract": "<jats:title>Abstract</jats:title><jats:p>In this paper we develop the mathematical and statistical structure of PLS regression. We show the PLS regression algorithm and how it can be interpreted in model building. The basic mathematical principles that lie behind two block PLS are depicted. We also show the statistical aspects of the PLS method when it is used for model building. Finally we show the structure of the PLS decompositions of the data matrices involved.</jats:p>",
  "DOI": "10.1002/cem.1180020306",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2005,
        5,
        29
      ]
    ],
    "date-time": "2005-05-29T00:44:33Z",
    "timestamp": 1117327473000
  },
  "page": "211-228",
  "source": "Crossref",
  "is-referenced-by-count": 1506,
  "title": "PLS regression methods",
  "prefix": "10.1002",
  "volume": "2",
  "author": [
    {
      "given": "Agnar",
      "family": "H\u00f6skuldsson",
      "sequence": "first",
      "affiliation": []
    }
  ],
  "member": "311",
  "published-online": {
    "date-parts": [
      [
        2005,
        3,
        30
      ]
    ]
  },
  "reference": [
    {
      "key": "e_1_2_1_2_2",
      "volume-title": "Encyclopedia of Statistical Sciences",
      "author": "Wold H.",
      "year": "1984"
    },
    {
      "key": "e_1_2_1_3_2",
      "volume": "185",
      "author": "Geladi P.",
      "year": "1986",
      "journal-title": "Anal. Chim. Acta"
    },
    {
      "key": "e_1_2_1_4_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/0003-2670(86)80029-0"
    },
    {
      "key": "e_1_2_1_5_2",
      "unstructured": "I. S.Helland Report 21 Department of Mathematics and Statistics Agricultural University of Norway (1986)."
    },
    {
      "key": "e_1_2_1_6_2",
      "doi-asserted-by": "crossref",
      "unstructured": "R.Manne Chemometrics and Intell. Lab. Syst. 187(1987).",
      "DOI": "10.1016/0169-7439(87)80096-5"
    },
    {
      "key": "e_1_2_1_7_2",
      "unstructured": "S.Wold S.Hellberg T.Lundstedt M.SjostromandH.Wold Bull. 46th ISI(1987)."
    },
    {
      "key": "e_1_2_1_8_2",
      "first-page": "17",
      "volume-title": "Multivariate Data Analysis in Chemistry, in Chemometrics, Mathematics and Statistics in Chemistry",
      "author": "Wold S.",
      "year": "1984"
    },
    {
      "key": "e_1_2_1_9_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1090/S0002-9947-1950-0051437-7"
    },
    {
      "key": "e_1_2_1_10_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/0047-259X(79)90094-0"
    },
    {
      "key": "e_1_2_1_11_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1002/0471725153"
    },
    {
      "key": "e_1_2_1_12_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1080/00401706.1978.10489693"
    },
    {
      "key": "e_1_2_1_13_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/0047-259X(78)90067-2"
    }
  ],
  "container-title": "Journal of Chemometrics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fcem.1180020306",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://onlinelibrary.wiley.com/doi/full/10.1002/cem.1180020306",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2023,
        11,
        20
      ]
    ],
    "date-time": "2023-11-20T18:29:20Z",
    "timestamp": 1700504960000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://analyticalsciencejournals.onlinelibrary.wiley.com/doi/10.1002/cem.1180020306"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1988,
        6
      ]
    ]
  },
  "references-count": 12,
  "journal-issue": {
    "issue": "3",
    "published-print": {
      "date-parts": [
        [
          1988,
          6
        ]
      ]
    }
  },
  "alternative-id": [
    "10.1002/cem.1180020306"
  ],
  "URL": "http://dx.doi.org/10.1002/cem.1180020306",
  "relation": {},
  "ISSN": [
    "0886-9383",
    "1099-128X"
  ],
  "subject": [],
  "container-title-short": "Journal of Chemometrics",
  "published": {
    "date-parts": [
      [
        1988,
        6
      ]
    ]
  }
}