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Evaluating Adaptive Paired Comparison Experiments

In: Frontiers in Statistical Quality Control 9

Author

Listed:
  • Tomomichi Suzuki

    (Tokyo University of Science, Department of Industrial Administration)

  • Seiichi Yasui

    (Tokyo University of Science, Department of Industrial Administration)

  • Yoshikazu Ojima

    (Tokyo University of Science, Department of Industrial Administration)

Abstract

Summary Paired comparison experiments are effective tools when the characteristics of the objects cannot be measured directly. In paired comparison experiments the characteristics of the objects are estimated from the result of the comparisons. The concept of paired comparison experiments was introduced by Thurstone (1927). The method by Scheffé (1952) is widely used for complete paired comparison experiments and the method by Bradley and Terry (1952) is popularly used in incomplete paired comparison experiments. In incomplete paired comparison experiments, the design of the experiment, that is, how to form the pairs to be compared, is crucial to successful analysis. Many methods including adaptive experimental designs are proposed. The tournament systems in sports and other competitions are typical examples of such designs, but their statistical properties are not fully investigated. In this paper, we discuss how tournament systems may be evaluated and propose a new criterion. We also give examples of evaluating tournaments based on the proposed criterion.

Suggested Citation

  • Tomomichi Suzuki & Seiichi Yasui & Yoshikazu Ojima, 2010. "Evaluating Adaptive Paired Comparison Experiments," Springer Books, in: Hans-Joachim Lenz & Peter-Theodor Wilrich & Wolfgang Schmid (ed.), Frontiers in Statistical Quality Control 9, pages 341-350, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7908-2380-6_22
    DOI: 10.1007/978-3-7908-2380-6_22
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