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

Torsney, B. (2010) Estimation and optimal designing under latent variable models for paired comparisons studies via a multiplicative algorithm. Contributions to Statistics, 2010, pp. 213-220. (doi:10.1007/978-3-7908-2410-0_28)

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Abstract

We consider:
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;
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.

Item Type:Articles
Additional Information:The original publication is available at www.springerlink.com

Proceedings of the 9th International Workshop in Model-Oriented Design and Analysis held in Bertinoro, Italy, June 14-18, 2010
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Torsney, Dr Bernard
Authors: Torsney, B.
Subjects:Q Science > QA Mathematics
H Social Sciences > HA Statistics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Statistics
Journal Name:Contributions to Statistics
Publisher:Springer
ISSN:1431-1968
Copyright Holders:Copyright © 2010 Springer
First Published:First published in Contributions to Statistics 2010:213-220
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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