Optimal Design for the Rasch Poisson-Gamma Model

  • Ulrike Graßhoff
  • Heinz HollingEmail author
  • Rainer Schwabe
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)


Many tests, measuring human intelligence, yield count data. Often, these data can be analyzed by the Rasch Poisson counts model which incorporates parameters representing the ability of the respondents and the difficulty of the items. In a generalized version, the so-called Rasch Poisson-Gamma counts model, the ability parameter is specified as random with an underlying Gamma distribution. We will develop locally D-optimal calibration designs for an extended version of this model which includes two binary covariates in order to explain the difficulty of an item.



This work was supported by grant Ho1286-6 of the Deutsche Forschungsgemeinschaft.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Ulrike Graßhoff
    • 1
  • Heinz Holling
    • 2
    Email author
  • Rainer Schwabe
    • 3
  1. 1.School of Business and EconomicsHumboldt UniversityBerlinGermany
  2. 2.Institute of PsychologyUniversity of MünsterMünsterGermany
  3. 3.Institute for Mathematical StochasticsOtto-von-Guericke UniversityMagdeburgGermany

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