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)

Abstract

We consider:<BR/> 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/> 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<BR/> <BR/> 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