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Estimation and optimal designing under latent variable models for paired comparisons studies via a multiplicative algorithm

By B. Torsney

Abstract

We consider:<BR/>\ud 1. The problem of estimating the parameters of latent variable models such as the Bradley Terry or Thurstone Model by the method of maximum likelihood, given data from a paired comparisons experiment. The parameters of these models can be taken to be weights which are positive and sum to one;<BR/>\ud 2. The problem of determining approximate locally optimal designs for good estimation of these parameters; i.e of determining optimal design weights which are also positive and sum to one

Topics: QA, HA
Publisher: Springer
Year: 2010
OAI identifier: oai:eprints.gla.ac.uk:47918
Provided by: Enlighten

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Citations

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