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Extending Multiple Testing With Unknown Test Dependency via the CoCo Test: With Applications to Cancer Studies.

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Summary
This summary is machine-generated.

A new statistical test, the CoCo test, validates the positive dependency through stochastic ordering (PDS) condition for multiple testing. This ensures type I error rate control even with unknown dependencies between test statistics.

Keywords:
Hochberg procedureclinical trialsconcordancedependence testhazard ratiomultiple testing procedure

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Area of Science:

  • Statistics
  • Biostatistics
  • Clinical Research Methodology

Background:

  • Multiple testing is prevalent in research, posing challenges for controlling type I error rates (alpha-control).
  • Existing methods for alpha-control are well-established for independent tests or known joint distributions.
  • Verifying the positive dependency through stochastic ordering (PDS) condition is crucial for alpha-control with unknown dependencies, yet methods are lacking.

Purpose of the Study:

  • To develop a novel nonparametric statistical test for validating the PDS condition in multiple testing scenarios.
  • To enable reliable alpha-control irrespective of the dependency structure between test statistics.
  • To provide a practical tool for researchers facing unknown dependencies in their data.

Main Methods:

  • Development of the CoCo test, a nonparametric method utilizing ranked correlation coefficients (Spearman's rho and Kendall's tau).
  • The CoCo test is designed to algebraically assess the PDS condition.
  • Validation through simulation studies and application to real-world meta-analyses.

Main Results:

  • The CoCo test effectively detects violations or confirmations of the PDS condition.
  • Simulation studies demonstrated the test's reliability in assessing dependency structures.
  • Application to meta-analyses showcased its practical utility in evaluating PDS.

Conclusions:

  • The CoCo test offers a robust solution for validating the PDS condition in multiple testing.
  • Researchers are encouraged to assess the PDS condition when dependencies are uncertain.
  • The CoCo test provides methodological and technical advancements for statistical analysis.