Simultaneous selection and estimation of the best treatment with respect to a control in a general linear model

  • Bansal N
  • Miescke K
  • 5


    Mendeley users who have this article in their library.
  • 1


    Citations of this article.


The problem of selecting the largest treatment parameter, provided it is better than a control, and simultaneously estimating the selected treatment parameter in a general linear model is considered in the decision theoretic Bayes approach. Both cases, where the error variance is known or unknown, are included. Bayes decision rules are derived for noninformative and for normal priors. Bayes rules for noninformative priors are derived under a general loss function for designs that satisfy the BTIB condition of Bechhofer and Tamhane (Technometrics 23 (1981) 45). For unbalanced designs, a linear loss function is adopted and it is demonstrated, via simulations, that the simultaneous estimation of the selected treatment effect plays an important role in correcting an undesirable effect for the selection problem. © 2004 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Balanced and unbalanced design
  • Bayes rule
  • Comparisons with respect to a control
  • Loss function
  • Selection and estimation

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Naveen K. Bansal

  • Klaus J. Miescke

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free