Constructing tests to compare two proportions whose critical regions guarantee to be Barnard convex sets

DOI10.1016/J.STAMET.2016.08.005zbMath1487.62016OpenAlexW2516893381MaRDI QIDQ670180

José Juan Castro-Alva, Félix Almendra-Arao, Hortensia J. Reyes Cervantes

Publication date: 18 March 2019

Published in: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.stamet.2016.08.005

zbMATH Keywords

exact testasymptotic testBarnard convex hullBarnard convex setnon-inferiority tests

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Parametric hypothesis testing (62F03) Asymptotic properties of parametric tests (62F05)

Cites Work

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• Structural properties of UMPU-tests for \(2\times 2\) tables and some applications
• Barnard Convex Sets
• Some Properties of Non Inferiority Tests for Two Independent Probabilities
• Unconditional Non-Asymptotic One-Sided Tests for Independent Binomial Proportions When the Interest Lies in Showing Non-Inferiority and/or Superiority
• Problems with Existing Procedures to Calculate Exact Unconditional P‐Values for Non‐Inferiority/Superiority and Confidence Intervals for Two Binomials and How to Resolve Them
• Non‐Inferiority Testing with a Variable Margin
• THE MEANING OF A SIGNIFICANCE LEVEL

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