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The calculus of committee composition.

Eric Libby1, Leon Glass

  • 1New Zealand Institute for Advanced Study, Massey University, Auckland, New Zealand. e.libby@massey.ac.nz

Plos One
|September 30, 2010
PubMed
Summary

Determining the optimal number of judges involves a cost analysis balancing evaluation accuracy, judge expenses, and error costs. Surprisingly, higher accuracy judges may necessitate larger panels for optimal evaluation outcomes.

Area of Science:

  • Decision Analysis
  • Evaluation Methodology
  • Cost-Benefit Analysis

Background:

  • Institutions require accurate evaluation procedures across diverse fields like academia, policy, and competitions.
  • Previous research focused on combining judgments, neglecting the critical factor of the number of evaluators.
  • The number of judges significantly impacts evaluation methodology and overall success.

Purpose of the Study:

  • To determine the optimal number of judges for evaluation procedures.
  • To analyze the relationship between panel size, judge accuracy, and costs.
  • To provide a novel method for optimizing evaluation procedures.

Main Methods:

  • A cost-benefit analysis incorporating evaluation accuracy, cost per judge, and cost of decision errors.

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  • Analytical and numerical studies to model the optimal number of judges under various scenarios.
  • Examination of how evaluation rules, judge accuracy, and cost ratios influence optimal panel size.

    • Main Results:

    • The optimal number of judges is associated with the lowest overall cost.
    • Optimal panel size depends on the evaluation rule, judge accuracy, and the ratio of judge cost to error cost.
    • A paradoxical finding: higher accuracy judges may require larger panels than lower accuracy judges for optimal results.

    Conclusions:

    • Optimizing evaluation procedures necessitates understanding judge accuracy, judge costs, and error costs.
    • The study reveals a general paradox in evaluation procedures where optimal panel size can increase with judge accuracy.
    • This work offers a practical method for policy-makers to optimize evaluation procedures by determining the ideal number of judges.