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Response Surface Fitting Using a Generalization of the Bradley‐Terry Paired Comparison Model

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  • A. Springall

Abstract

A paired comparison technique is presented for fitting response surfaces. This is especially useful when subjective responses are involved, where it is often difficult to justify the basic assumptions of the classical procedure. This report discusses aspects of the estimation of parameters and their properties, tests of relevant hypotheses and the selection of experimental designs. The method is applied to an example in food testing.

Suggested Citation

  • A. Springall, 1973. "Response Surface Fitting Using a Generalization of the Bradley‐Terry Paired Comparison Model," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 22(1), pages 59-68, March.
    • Handle: RePEc:bla:jorssc:v:22:y:1973:i:1:p:59-68
    DOI: 10.2307/2346303
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    1. repec:jss:jstsof:12:i01 is not listed on IDEAS
    2. Rowland G. Seymour & David Sirl & Simon P. Preston & Ian L. Dryden & Madeleine J. A. Ellis & Bertrand Perrat & James Goulding, 2022. "The Bayesian Spatial Bradley–Terry model: Urban deprivation modelling in Tanzania," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 71(2), pages 288-308, March.
    3. Weichen Wu & Nynke Niezink & Brian Junker, 2022. "A diagnostic framework for the Bradley–Terry model," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(S2), pages 461-484, December.
    4. Gerhard Tutz & Gunther Schauberger, 2015. "Extended ordered paired comparison models with application to football data from German Bundesliga," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(2), pages 209-227, April.

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