The Analysis of an Unbalanced Paired Comparison Experiment by Multiple Regression

B. Johnston and C. Schwartz

Journal of the Royal Statistical Society Series C, 1977, vol. 26, issue 2, 136-142

Abstract: A method of analysing paired comparisons is presented for an experiment in which panellists test two samples and numerically evaluate the difference. The model is first developed for a balanced experiment and it is extended to include other multi‐classification variables. The model is converted into a multiple regression equation which can be analysed with unequal numbers of observations per treatment pair and with missing pairs. The coding procedure for the regression variables allows one to estimate important treatment differences and their variances, to test various hypotheses and to observe any confounding of effects arising from the unbalanced experiment.

Date: 1977
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