Geometric Views of Partial Correlation Coefficient in Regression Analysis

Bilin Zeng, Kang Chen, Cong Wang


By describing the geometric analogues of the concepts from various perspectives, this work aims to provide a richer and intuitive comprehension of the concept of partial correlation coefficient in the regression analysis, especially for beginning students. Based on a simple and strictly correct geometric framework, this article geometrically illustrates the concept of partial correlation coefficient in regression analysis from the views of the Frisch-Waugh-Lovell Theorem, partial F test statistics, and the comparisons with other levels of correlation coefficients. In our opinion, the geometric approach sheds lights on the regression analysis as it provides a richer and more concrete understanding for readers, especially for beginners.  This paper can also be served as a supplementary reading material for serious beginners.

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International Journal of Statistics and Probability   ISSN 1927-7032(Print)   ISSN 1927-7040(Online)

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