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Optimal Design for the Rasch Poisson-Gamma Model

by Graßhoff, U.; Holling, H.; Schwabe, R..

Series: 2015-14, Preprints

62K05 Optimal designs
62J12 Generalized linear models
62P15 Applications to psychology

The Rasch Poisson counts model is an important model for analyzing
mental speed, an fundamental component of human intelligence. Here, the param-
eter representing the ability of a person is specified as random with an underlying Gamma distribution. For an extended version of this model which incorporates two binary covariates in order to explain the difficulty of an item we will develop locally D-optimal calibration designs.

Keywords: optimal design, Rasch Poisson-Gamma model, efficiency