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Two‐Sample Inference Based on One‐Sample Sign Statistics

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  • Thomas P. Hettmansperger

Abstract

A two‐sample test is studied which rejects the null hypothesis of equal population medians when two distribution‐free confidence intervals are disjoint. A confidence interval is constructed by subtracting the endpoints of the two one‐sample confidence Intervals. Three different ways to select the one‐sample Intervals are presented. Mood's median test is shown to be one of the solutions; however, an alternative solution that specifies equal confidence coefficients for the one‐sample intervals is recommended. All solutions are shown to have the same asymptotic efficiency.

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  • Thomas P. Hettmansperger, 1984. "Two‐Sample Inference Based on One‐Sample Sign Statistics," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 33(1), pages 45-51, March.
    • Handle: RePEc:bla:jorssc:v:33:y:1984:i:1:p:45-51
    DOI: 10.2307/2347662
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    Cited by:

    1. Dimiski, Anastasia, 2023. "How does pre-school attendance affect school performance? An application of Gini-BMA methodology on PISA 2018 dataset," The Journal of Economic Asymmetries, Elsevier, vol. 28(C).

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