IDEAS home Printed from https://ideas.repec.org/a/sae/somere/v7y1978i1p85-106.html
   My bibliography  Save this article

Optimal Procedures for Estimation of Factor Scores

Author

Listed:
  • Willem E. Saris

    (Free University of Amsterdam)

  • Marius de Pijper

    (Free University of Amsterdam)

  • Jan Mulder

    (Asian Social Institute, Manilla)

Abstract

This study identifies three different applications of factor scores which lead to three different sets of criteria for optimal estimation procedures. The regression method and the Bartlett method best satisfy the first two sets of criteria, and a generalized Anderson and Rubin procedure is optimal for the third set of criteria. The differences between the methods have been illustrated by an example.

Suggested Citation

  • Willem E. Saris & Marius de Pijper & Jan Mulder, 1978. "Optimal Procedures for Estimation of Factor Scores," Sociological Methods & Research, , vol. 7(1), pages 85-106, August.
  • Handle: RePEc:sae:somere:v:7:y:1978:i:1:p:85-106
    DOI: 10.1177/004912417800700104
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/004912417800700104
    Download Restriction: no

    File URL: https://libkey.io/10.1177/004912417800700104?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Stanley Mulaik, 1976. "Comments on “the measurement of factorial indeterminacy”," Psychometrika, Springer;The Psychometric Society, vol. 41(2), pages 249-262, June.
    2. Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer;The Psychometric Society, vol. 1(3), pages 211-218, September.
    3. Bert Green, 1976. "On the factor score controversy," Psychometrika, Springer;The Psychometric Society, vol. 41(2), pages 263-266, June.
    4. Chester Harris, 1967. "On factors and factor scores," Psychometrika, Springer;The Psychometric Society, vol. 32(4), pages 363-379, December.
    5. Roderick McDonald, 1974. "The measurement of factor indeterminacy," Psychometrika, Springer;The Psychometric Society, vol. 39(2), pages 203-222, June.
    6. Ledyard Tucker, 1971. "Relations of factor score estimates to their use," Psychometrika, Springer;The Psychometric Society, vol. 36(4), pages 427-436, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jos Berge, 1983. "On Green's best linear composites with a specified structure, and oblique estimates of factor scores," Psychometrika, Springer;The Psychometric Society, vol. 48(3), pages 371-375, September.
    2. Paul Ningaye & Yemedjeu Tiomela & Virginie Takoutio Feudjio, 2011. "Multi-Poverty in Cameroon: a Dimensional Scores Approach. Multi-pauvreté au Cameroun: Approche par les scores dimensionnels," Working Papers PMMA 2011-01, PEP-PMMA.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wim Krijnen, 2002. "On the construction of all factors of the model for factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 161-172, March.
    2. Peter Schönemann, 1971. "The minimum average correlation between equivalent sets of uncorrelated factors," Psychometrika, Springer;The Psychometric Society, vol. 36(1), pages 21-30, March.
    3. Roderick McDonald, 1986. "Describing the elephant: Structure and function in multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 51(4), pages 513-534, December.
    4. Sewell, Daniel K., 2018. "Visualizing data through curvilinear representations of matrices," Computational Statistics & Data Analysis, Elsevier, vol. 128(C), pages 255-270.
    5. Jushan Bai & Serena Ng, 2020. "Simpler Proofs for Approximate Factor Models of Large Dimensions," Papers 2008.00254, arXiv.org.
    6. Adele Ravagnani & Fabrizio Lillo & Paola Deriu & Piero Mazzarisi & Francesca Medda & Antonio Russo, 2024. "Dimensionality reduction techniques to support insider trading detection," Papers 2403.00707, arXiv.org, revised May 2024.
    7. Alfredo García-Hiernaux & José Casals & Miguel Jerez, 2012. "Estimating the system order by subspace methods," Computational Statistics, Springer, vol. 27(3), pages 411-425, September.
    8. Mitzi Cubilla‐Montilla & Ana‐Belén Nieto‐Librero & Ma Purificación Galindo‐Villardón & Ma Purificación Vicente Galindo & Isabel‐María Garcia‐Sanchez, 2019. "Are cultural values sufficient to improve stakeholder engagement human and labour rights issues?," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 26(4), pages 938-955, July.
    9. Duane F. Alwin, 1973. "The Use of Factor Analysis in the Construction of Linear Composites in Social Research," Sociological Methods & Research, , vol. 2(2), pages 191-212, November.
    10. Jos Berge & Henk Kiers, 1993. "An alternating least squares method for the weighted approximation of a symmetric matrix," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 115-118, March.
    11. Shimeng Huang & Henry Wolkowicz, 2018. "Low-rank matrix completion using nuclear norm minimization and facial reduction," Journal of Global Optimization, Springer, vol. 72(1), pages 5-26, September.
    12. Antti J. Tanskanen & Jani Lukkarinen & Kari Vatanen, 2016. "Random selection of factors preserves the correlation structure in a linear factor model to a high degree," Papers 1604.05896, arXiv.org, revised Dec 2018.
    13. Jin-Xing Liu & Yong Xu & Chun-Hou Zheng & Yi Wang & Jing-Yu Yang, 2012. "Characteristic Gene Selection via Weighting Principal Components by Singular Values," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-10, July.
    14. Kargin, V. & Onatski, A., 2008. "Curve forecasting by functional autoregression," Journal of Multivariate Analysis, Elsevier, vol. 99(10), pages 2508-2526, November.
    15. Yoshio Takane & Forrest Young & Jan Leeuw, 1977. "Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 42(1), pages 7-67, March.
    16. W. Gibson, 1962. "On the least-squares orthogonalization of an oblique transformation," Psychometrika, Springer;The Psychometric Society, vol. 27(2), pages 193-195, June.
    17. Walter Kristof, 1967. "Orthogonal inter-battery factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 32(2), pages 199-227, June.
    18. Merola, Giovanni Maria & Chen, Gemai, 2019. "Projection sparse principal component analysis: An efficient least squares method," Journal of Multivariate Analysis, Elsevier, vol. 173(C), pages 366-382.
    19. Juan Carlos Carrasco Baquero & Verónica Lucía Caballero Serrano & Fernando Romero Cañizares & Daisy Carolina Carrasco López & David Alejandro León Gualán & Rufino Vieira Lanero & Fernando Cobo-Gradín, 2023. "Water Quality Determination Using Soil and Vegetation Communities in the Wetlands of the Andes of Ecuador," Land, MDPI, vol. 12(8), pages 1-18, August.
    20. Naoto Yamashita & Shin-ichi Mayekawa, 2015. "A new biplot procedure with joint classification of objects and variables by fuzzy c-means clustering," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 9(3), pages 243-266, September.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:somere:v:7:y:1978:i:1:p:85-106. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.