An Application of Extended Analysis for Ranked Data with Ties

P.B. Brockhoff, D.J. Best and J.C.W. Rayner

Australian & New Zealand Journal of Statistics, 2004, vol. 46, issue 2, 197-204

Abstract: Standard analysis for ranks from two‐way layout data with ties or for 'rank transformed' data with ties can be extended to allow market research to make better comparisons between products. In addition to detecting product average ranks effects, the new analysis allows detection of significant nonlinear effects, umbrella effects, linear contrasts and differences in distributions. The paper presents market research results comparing three types of french fries. There are no differences, according to the standard Friedman analysis. However significant nonlinear effects are found using the new analysis, which give the manufacturer important information.

Date: 2004
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