Cook statistic and diagnostics for transformations (Q1115067)
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scientific article; zbMATH DE number 4086804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cook statistic and diagnostics for transformations |
scientific article; zbMATH DE number 4086804 |
Statements
Cook statistic and diagnostics for transformations (English)
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1988
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It is proposed to assess the effect of case deletion in a parametric family of transformations by means of Cook's distance. The use of this statistic in the constructed model is particularly appealing because, unlike other diagnostic procedures, it takes account of the leverage structure. The procedure is compared and related to the methods proposed by \textit{A. C. Atkinson} [J. R. Stat. Soc., Ser. B 44, 1-36 (1982; Zbl 0508.62058) and Technometrics 28, 29-37 (1986; Zbl 0586.62097)] and \textit{R. D. Cook} and \textit{P. C. Wang} [ibid. 25, 337-343 (1983; Zbl 0526.62059)]. An example is presented.
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measure of influence
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Atkinson diagnostics
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constructed model
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regression diagnostics
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effect of case deletion
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parametric family of transformations
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Cook's distance
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leverage structure
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0.84440106
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0.8328217
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0.83105695
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0.8308615
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0.8291019
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