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An Application of Extended Analysis for Ranked Data with Ties

Author

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  • P.B. Brockhoff
  • D.J. Best
  • J.C.W. Rayner

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.

Suggested Citation

  • P.B. Brockhoff & D.J. Best & J.C.W. Rayner, 2004. "An Application of Extended Analysis for Ranked Data with Ties," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 46(2), pages 197-204, June.
  • Handle: RePEc:bla:anzsta:v:46:y:2004:i:2:p:197-204
    DOI: 10.1111/j.1467-842X.2004.00324.x
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    Cited by:

    1. Jyh-Shyang Wu & Wen-Shuenn Deng, 2017. "A nonparametric procedure for testing partially ranked data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 29(2), pages 213-230, April.

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