Optimal designs for generalized linear models with biased response |
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Authors: | I Ortiz I Martínez C Rodríguez Y del Águila |
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Institution: | (1) Department of Statistics and Applied Mathematics, University of Almería, Almería, Spain |
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Abstract: | This paper is concerned with the search for locally optimal designs when the observations of the response variable arise from
a weighted distribution in the exponential family. Locally optimal designs are derived for regression models in which the
response follows a weighted version of Normal, Gamma, Inverse Gaussian, Poisson or Binomial distributions. Some conditions
are given under which the optimal designs for the weighted and original (non-weighted) distributions are the same. An efficiency
study is performed to find out the behavior of the D-optimal designs for the original distribution when they are used to estimate
models with weighted distributions. |
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Keywords: | Optimal designs Generalized linear model Biased response Exponential family |
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