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Note on unbiased estimation of the squared multiple correlation coefficient

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  • A. P. Barten

Abstract

Zoals bekend is het kwadraat van de correlatie‐coëfficiënt bij regressie‐analyse een onzuivere schatting van zijn tegenhanger in de populatie. Deze onzuiverheid wordt afgeleid tot op de orde 1/T, waarbij T het aantal waarnemingen is. Door een schatting van deze onzuiverheid van het kwadraat van de gewone correlatie‐coëfficiënt af te trekken wordt een nieuwe schatting van de correlatie in de populatie verkregen, die zuiver is tot op de orde 1/T, hetgeen van de op de gebruikelgke wijzen gecorrigeerde correlatie‐coëfficiënten niet gezegd kan worden.

Suggested Citation

  • A. P. Barten, 1962. "Note on unbiased estimation of the squared multiple correlation coefficient," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 16(2), pages 151-164, June.
    • Handle: RePEc:bla:stanee:v:16:y:1962:i:2:p:151-164
    DOI: 10.1111/j.1467-9574.1962.tb01062.x
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    Cited by:

    1. de Haan, Laurens & Taconis-Haantjes, Elselien, 1975. "Asymptotic Properties Of A Correlation Coefficient Type Statistic Connected With The General Linear Model," Econometric Institute Archives 272125, Erasmus University Rotterdam.
    2. Otto Davis & M. Dempster & Aaron Wildavsky, 1966. "On the process of budgeting: An empirical study of congressional appropriation," Public Choice, Springer, vol. 1(1), pages 63-132, December.
    3. Alberto J. Hernández & Maikol Solís, 2023. "Geometric goodness of fit measure to detect patterns in data point clouds," Computational Statistics, Springer, vol. 38(3), pages 1231-1253, September.

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