What question did this study set out to answer?

The aim is to derive the Wilcoxon test as a special case of Cox's proportional hazards model using time-dependent covariates.

January 1, 1980

Time-dependent covariates in survival analysis

Key Points

The aim is to derive the Wilcoxon test as a special case of Cox's proportional hazards model using time-dependent covariates.
Derived the Wilcoxon test from Cox's 1972 model framework.
Analyzed censored survival data using these test statistics.
Compared log rank and modified Wilcoxon test methods.
The Wilcoxon test is confirmed to function within the Cox model framework for time-dependent covariates.
Both tests provide alternative approaches for analyzing censored data, enhancing statistical tools for survival analysis.

Abstract

The log rank and modified Wilcoxon test statistics are two alternative methods of analysis for censored survival data. It is well known that the log rank test can be derived from the model of Cox (1972). This paper derives the Wilcoxon test as a special case of Cox's model with a time-dependent covariate.

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