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Circular triads when not all paired comparisons are made

D F Bauer

    Biometrics
    |September 1, 1978
    PubMed
    Summary

    This study introduces a computational method to measure judge inconsistency in paired comparison experiments. It addresses situations where not all comparisons can be made, using circular triads as a key metric.

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    Area of Science:

    • Psychology
    • Statistics
    • Sensory Science

    Background:

    • Paired comparison experiments are common in sensory perception and psychology.
    • Performing all possible comparisons can be impractical or impossible in certain experimental designs.
    • Inconsistency in judge responses is a critical factor in data reliability.

    Purpose of the Study:

    • To present a computational method for determining circular triads.
    • To provide a measure of inconsistency for judges in incomplete paired comparison designs.
    • To enhance the analysis of sensory perception data when full comparisons are not feasible.

    Main Methods:

    • The study focuses on computational approaches for analyzing incomplete paired comparison data.
    • It details the calculation of circular triads as an indicator of judge inconsistency.
    • The method is designed for scenarios where not all pairwise comparisons are conducted.

    Main Results:

    • A novel computational method for quantifying circular triads is presented.
    • This method allows for the assessment of judge inconsistency even with partial data.
    • The number of circular triads serves as a reliable measure of response inconsistency.

    Conclusions:

    • The proposed computational method effectively measures judge inconsistency in incomplete paired comparison experiments.
    • This approach is valuable for analyzing sensory perception data where full comparisons are not feasible.
    • The quantification of circular triads improves the reliability assessment of individual judges.

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