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How order affects the sign test

J C Rayner1, D J Best

  • 1School of Mathematics and Applied Statistics, University of Wollongong, NSW, Australia.

Biometrics
|February 7, 1998
PubMed
Summary
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The order of treatments can impact the sign test. Gart's test is equivalent to a score test, and a modified version is recommended for equal treatment group sizes.

Area of Science:

  • Biostatistics
  • Clinical Trial Design
  • Statistical Methods

Background:

  • The sign test is a common non-parametric method for analyzing paired data.
  • The order of treatment administration can influence the results of statistical tests.
  • Existing methods may not fully account for treatment order effects.

Purpose of the Study:

  • To investigate the impact of treatment order on the sign test.
  • To evaluate Gart's test and its relationship to score tests.
  • To propose an improved statistical approach for specific experimental designs.

Main Methods:

  • Analysis of Gart's test under a product binomial model.
  • Comparison of Gart's test with the standard sign test.
  • Development of a modified Gart's test for balanced treatment orders.

Related Experiment Videos

Main Results:

  • Gart's test demonstrates equivalence to a score test under the product binomial model.
  • The proposed modification of Gart's test is suitable when equal numbers of subjects receive each treatment order.
  • The modified Gart's test offers advantages over the standard sign test in balanced designs.

Conclusions:

  • Gart's test provides a robust alternative to the sign test when treatment order is a concern.
  • The modified Gart's test should be routinely considered for studies with equal numbers of subjects per treatment sequence.
  • Statistical methodology in clinical trials should account for potential treatment order biases.