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The stratified win statistics (win ratio, win odds, and net benefit).

Gaohong Dong1, David C Hoaglin2, Bo Huang3

  • 1BeiGene, Ridgefield Park, New Jersey, USA.

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|February 22, 2023
PubMed
Summary

Win odds, net benefit, and win ratio are related statistics that test treatment effects. Their variances are also related, and these relationships extend to stratified win statistics used in clinical trials.

Keywords:
Finkelstein-Schoenfeld testgeneralized pairwise comparisonsmantel-Haenszel methodnet benefitwin oddswin ratio

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Area of Science:

  • Biostatistics
  • Clinical Trial Methodology
  • Statistical Analysis

Background:

  • The win ratio is a statistical measure used in clinical trials since 2018.
  • Existing research highlights the relationship between win odds, net benefit, and win ratio.
  • These statistics assess the same null hypothesis of equal win probabilities between groups.

Purpose of the Study:

  • To demonstrate the direct and indirect relationships between win odds, net benefit, and win ratio, including their variances.
  • To generalize the stratified win ratio methodology to win odds and net benefit.
  • To confirm that the statistical test equivalencies and relationships hold for stratified win statistics.

Main Methods:

  • Comparative statistical analysis of win odds, net benefit, and win ratio.
  • Examination of the relationships between the estimated variances of these win statistics.
  • Generalization of the stratified win ratio method to other win statistics.

Main Results:

  • Win odds and net benefit are directly related, and indirectly related to the win ratio through ties.
  • The estimated variances of these win statistics are also directly or indirectly related.
  • The approximate equivalence of statistical tests and observed relationships hold for stratified win statistics.

Conclusions:

  • The relationships between win odds, net benefit, and win ratio are mathematically established and extend to stratified versions.
  • These findings support the complementary use of these statistics to evaluate treatment effect strength.
  • The generalization of the stratified method enhances its applicability in clinical trial design and analysis.