The Relationship between the magnitudes of SSR(X(2)) and SSR(X(2)|X(1)): a geometric description

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Title: The Relationship between the magnitudes of SSR(X(2)) and SSR(X(2)|X(1)): a geometric description
Author: Schey, Harry
Abstract: We use geometric methods to investigate the relative magnitudes of SSR(x(2)), the sum of squares for regression on x(2) alone, and SSR(x(2)|x(1)), the increase in the regression sum of squares resulting from the addition of x(2) to a model that already contains x(1). We examine a variety of cases, emphasizing those in which SSR(x(2)|x(1)) > SSR(x(2)). We also point out that SSR(x(2)) and SSR(x(2)|x(1)) can be equal even when x(1) and x(2) are correlated. We present contrived data sets illustrating these points, and examine the relative magnitudes of SSR(x(2)) and SSR(x(2)|x(1)) for two real data sets (Refer to PDF file for exact formulas).
Description: Only the abstract is included in the file associated with this article. The complete article may be accessed from the publisher's website (additional fees may apply) at: http://links.jstor.org/sici?sici=0003-1305(199302)47%3A1%3C26%3ATRBTMO%3E2.0.CO%3B2-K
Record URI: http://hdl.handle.net/1850/5069
Date: 1993-02

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