Discovering influential cases in linear regression with MINITAB: Peeking into multidimensions with a MINITAB macro |
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Authors: | Michael R Delozier Steven Orlich |
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Institution: | Minitab Inc., 1829 Pine Hall Road, State College, PA 16801, United States |
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Abstract: | Various diagnostic statistics have been proposed to help identify cases that markedly affect, or influence, the features of a fitted linear regression model. Once influential cases are found, decisions can be made regarding their worth in the model building process. Since a subject data set may contain both singly influential cases and influential multiple case subsets, the capability to assess the joint influence of cases is needed for a complete analysis. The aim of this work is to briefly review Cook’s distance measure for multiple cases, an effective diagnostic for this purpose, and present a method using it to search for influential multiple case subsets. The method is applied in two example analyses by way of a MINITAB Statistical Software macro. |
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Keywords: | Linear regression Influential cases Cook’ s distance MINITAB |
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