# Inferring median survival differences in general factorial designs via permutation tests

arXiv: https://arxiv.org/abs/2006.14316 · HTML: https://mlsanity.com/paper/2006.14316/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Jun 2020.

## Built on by (most cited first, 1 of 1)

- [A Multiple kernel testing procedure for non-proportional hazards in factorial designs](https://mlsanity.com/paper/2206.07239/) (2022)

## Abstract (arXiv)

Factorial survival designs with right-censored observations are commonly inferred by Cox regression and explained by means of hazard ratios. However, in case of non-proportional hazards, their interpretation can become cumbersome; especially for clinicians. We therefore offer an alternative: median survival times are used to estimate treatment and interaction effects and null hypotheses are formulated in contrasts of their population versions. Permutation-based tests and confidence regions are proposed and shown to be asymptotically valid. Their type-1 error control and power behavior are investigated in extensive simulations, showing the new methods' wide applicability. The latter is complemented by an illustrative data analysis.