Conformal normal curvature and assessment of local influence |
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Authors: | W-Y Poon & Y S Poon |
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Institution: | Chinese University of Hong Kong, Hong Kong,;University of California, Riverside, USA |
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Abstract: | In 1986, R. D. Cook proposed differential geometry to assess local influence of minor perturbations of statistical models. We construct a conformally invariant curvature, the conformal normal curvature, for the same purpose. This curvature provides a measure of local influence ranging from 0 to 1, with objective bench-marks to judge largeness. We study various approaches to using the conformal normal curvature and the relationships between these approaches. |
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Keywords: | Aggregate contribution Conformal normal curvature Influence graph Linear regression Normal curvature |
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