Analysis of Variance Technique for Paired Comparisons

Abstract

Summary Analysis of variance is a statistical technique that can be used to measure and explore the variation among deferent types of variables.We will use this technique to measure the variation among different types of brands of Grape juice for paired comparison taste – testing experiment, in which judges express their preferences for those brands presented to them in pairs and in different order on a scale of 7-points. A convenient way of tabulating the data obtained from the taste – testing experiment is shown in table (1). Theoretical approach has been developed for two – way Analysis of variance for paired comparisons experiment. A practical example for taste-testing paired comparison experiment for 6 brands of Grape juice is given, were presented to 15 judges in the order (j,k) and presented to another 15 judges in the order (j,k) and is analyzed by the developed analysis of variance technique. There are significance differences between the 6 brands of Grape juice. Order effect of presentation is not significant here, which is an illustration of the consistency of the judges. Rank method is used to decide which brand of Grape juice is the best brand.