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Statistica Sinica 8(1998), 445-465


THE EXAMINATION OF RESIDUAL PLOTS


Chih-Ling Tsai, Zongwu Cai and Xizhi Wu


University of California, Southwest Missouri State University
and Nankai University


Abstract: Linear and squared residual plots are proposed to assess nonlinearity and heteroscedasticity in regression diagnostics. It is shown that linear residual plots are useful for diagnosing nonlinearity and squared residual plots are powerful for detecting nonconstant variance. A paradigm for the graphical interpretation of residual plots is presented.



Key words and phrases: Heteroscedasticity, leverages, nonlinearity, outliers.



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