* 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.
Overview of verb demonstrate
The verb demonstrate has 4 senses (first 4 from tagged texts)
1. (24) show, demo, exhibit, present, demonstrate -- (give an exhibition of to an interested
audience; "She shows her dogs frequently"; "We will demo the new software in Washington")
2. (22) prove, demonstrate, establish, show, shew -- (establish the validity of something, as by an
example, explanation or experiment; "The experiment demonstrated the instability of the compound";
"The mathematician showed the validity of the conjecture")
3. (2) attest, certify, manifest, demonstrate, evidence -- (provide evidence for; stand as proof of;
show by one's behavior, attitude, or external attributes; "His high fever attested to his illness";
"The buildings in Rome manifest a high level of architectural sophistication"; "This decision
demonstrates his sense of fairness")
4. (1) demonstrate, march -- (march in protest; take part in a demonstration; "Thousands
demonstrated against globalization during the meeting of the most powerful economic nations in
Seattle")
Overview of adj demonstrated
The adj demonstrated has 1 sense (first 1 from tagged texts)
1. (1) demonstrated -- (having been demonstrated or verified beyond doubt)
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