Andishe_ye Amari

Andishe_ye Amari

Comparison and investigation of the prediction performance of optimal designs for the logistic model in small samples

Document Type : Original Article

Authors
Department of Statistics, University of Isfahan
Abstract
Binary data are of interest in many scientific researches. The most common model for examining these data is the logistic model, which is in the family of generalized linear models. Optimality criteria for finding optimal designs are usually based on the covariance matrix and the asymptotic properties of this matrix. The asymptotic properties of this matrix, including the unbiasedness of the elements, hold as long as the sample is large. Therefore, in small samples, the issue of parameter estimation bias arises, and in this case, the use of the mentioned criteria is not sufficient. Robinson and Khoury (2003) studied the investigation and comparison of designs for logistic models for small samples. In this paper, using the graphical and intuitive method of Robinson and Khoury (2003), we show that the prediction performance of minimax optimal designs is better than that of local optimal designs and weaker than that of Bayesian optimal designs.
Keywords

Volume 16, Issue 2
February 2012
Pages 33-42

  • Receive Date 16 May 2025
  • First Publish Date 16 May 2025
  • Publish Date 20 February 2012