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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/135884


    Title: Suppression and enhancement in multiple linear regression: A viewpoint from the perspective of a semipartial correlation coefficient
    Authors: 江振東
    Chiang, Jeng-Tung
    Hsu, Szu-Yuan
    Contributors: 統計系
    Date: 2020-05
    Issue Date: 2021-06-25 10:15:44 (UTC+8)
    Abstract: For a linear regression model with two-predictor variables, the effects of the correlation between the two predictors on estimated standardized regression coefficients and R2R2 have been well studied. However, the role the correlation plays may sometimes be overstated, such that confusion and misconceptions may arise. In this article, we revisit the issue from the perspective of a semipartial correlation coefficient. We find that by taking this perspective we are not only able to reach the same conclusions while avoiding those misunderstandings, we are also able to gain more insight. In addition, we also take a geometrical approach to illustrate how estimated standardized regression coefficients and R2R2 behave as the correlation varies. Geometrical displays provide readers with a way to visualize the behavior changes and to understand the reasons behind those changes more easily. Although we focus mainly on two predictors in this article, the conclusions can be easily extended to a general k-predictor case.
    Relation: Communications in Statistics - Theory and Methods, pp.1-16
    Data Type: article
    DOI link: https://doi.org/10.1080/03610926.2020.1759094
    DOI: 10.1080/03610926.2020.1759094
    Appears in Collections:[Department of Statistics] Periodical Articles

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