Extension of k-ratio methods to rank-based analyses

George William Divine, The University of Texas School of Public Health

Abstract

An extension of k-ratio multiple comparison methods to rank-based analyses is described. The new method is analogous to the Duncan-Godbold approximate k-ratio procedure for unequal sample sizes or correlated means. The close parallel of the new methods to the Duncan-Godbold approach is shown by demonstrating that they are based upon different parameterizations as starting points. A semi-parametric basis for the new methods is shown by starting from the Cox proportional hazards model, using Wald statistics. From there the log-rank and Gehan-Breslow-Wilcoxon methods may be seen as score statistic based methods. Simulations and analysis of a published data set are used to show the performance of the new methods.

Subject Area

Biostatistics

Recommended Citation

Divine, George William, "Extension of k-ratio methods to rank-based analyses" (1987). Texas Medical Center Dissertations (via ProQuest). AAI8914282.
https://digitalcommons.library.tmc.edu/dissertations/AAI8914282

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