Local influence in binary regression models,and its correspondence with global influence |
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Authors: | PJ Farrell NG Cadigan |
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Institution: | 1. Department of Mathematics and Statistics , Acadia University , Wolfville, NS, BOP 1X0, Canada;2. Fisheries and Oceans , St. John's, NF, AlC 5X1, Canada |
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Abstract: | We develop local influence diagnostics for a general binary regression model,and apply these methods to case-weight perturbations in four examples. In addition, we illustrate the correspondence between case-deletion diagnostics and local case-weight perturbation slopes and curvatures. We demonstrate that local influence diagnostics can provide a more computationally efficient means for obtaining analogous information to that yielded by case-deletion diagnostics, which can be thought of as global influence perturbations. We also assess the global consistency of patterns of local influence using these data examples. |
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Keywords: | influence diagnostics binary regression likelihood displacement deviance displacement |
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