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Related Concept Videos

The Mantel-Cox Log-Rank Test01:19

The Mantel-Cox Log-Rank Test

The Mantel-Cox log-rank test is a widely used statistical method for comparing the survival distributions of two groups. It tests whether a statistically significant difference exists in survival times between the groups without assuming a specific distribution for the survival data, making it a non-parametric test. This flexibility makes the log-rank test particularly valuable in medical research and other fields where the timing of an event, such as death or disease recurrence, is of interest.
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Establishing a Competing Risk Regression Nomogram Model for Survival Data
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Published on: October 23, 2020

Graphical displays for clarifying how allocation ratio affects total sample size for the two sample logrank test.

Benjamin R Saville1, Yong S Kim, Gary G Koch

  • 1Department of Biostatistics, Vanderbilt University School of Medicine, Nashville, TN 37232-2158, USA. b.saville@vanderbilt.edu

Pharmaceutical Statistics
|January 16, 2010
PubMed
Summary

Unequal patient allocation in clinical trials impacts the power of the two sample logrank test. Graphical tools help determine the necessary sample size adjustments for these unbalanced study designs.

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Area of Science:

  • Biostatistics
  • Clinical Trial Design

Background:

  • The power of the two sample logrank test is sensitive to patient allocation ratios between treatment groups.
  • Unequal allocation may be necessary for data collection needs or patient acceptability of treatments.

Purpose of the Study:

  • To provide graphical tools for assessing sample size adjustments in unbalanced two-sample logrank test designs.
  • To illustrate the impact of allocation ratios on study power and required sample size.

Main Methods:

  • Development of graphical displays showing the sample size adjustment factor.
  • Analysis considering various survival rates, treatment hazard ratios, and allocation ratios.

Main Results:

  • The graphical displays effectively illustrate the relationship between allocation ratios and sample size requirements.
  • These tools quantify the cost of unbalanced designs compared to balanced ones.

Conclusions:

  • Graphical summaries are valuable for investigators planning sample sizes for unequal allocation in two-sample logrank tests.
  • These tools aid in optimizing study design under resource constraints or specific trial objectives.