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337) The differential role of the weighting functions considered is illustrated by a comparative analysis of four real data sets.

--- ABSTRACT ---

PMID:22167231 DOI:10.1177/0962280211431022

2015 Statistical methods in medical research

* Non-parametric estimation of relative risk in survival and associated tests.

- We extend the Tarone and Ware scheme of weighted log-rank tests to cover the associated weighted Mantel-Haenszel estimators of relative risk. Weighting functions previously employed are critically reviewed. The notion of an average hazard ratio is defined and its connection to the effect size measure P(Y > X) is emphasized. The connection makes estimation of P(Y > X) possible also under censoring. Two members of the extended Tarone-Ware scheme accomplish the estimation of intuitively interpretable average hazard ratios, also under censoring and time-varying relative risk which is achieved by an inverse probability of censoring weighting. The empirical properties of the members of the extended Tarone-Ware scheme are demonstrated by a Monte Carlo study. The differential role of the weighting functions considered is illustrated by a comparative analysis of four real data sets.

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--- WordNet output for data --- =>データ, 資料 Overview of noun data The noun data has 1 sense (first 1 from tagged texts) 1. (76) data, information -- (a collection of facts from which conclusions may be drawn; "statistical data") Overview of noun datum The noun datum has 1 sense (first 1 from tagged texts) 1. (5) datum, data point -- (an item of factual information derived from measurement or research) --- WordNet end ---