Unmasking the trend sought by Jonckheere-type tests for right censored data (Q2771556)
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scientific article; zbMATH DE number 1705797
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unmasking the trend sought by Jonckheere-type tests for right censored data |
scientific article; zbMATH DE number 1705797 |
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17 February 2002
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asymptotic relative efficiency
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failure times
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survival analysis
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multiple comparisons
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homogeneity
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0.88002336
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0.87114346
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0.8671624
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0.8664012
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0.8633418
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0.86256534
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Unmasking the trend sought by Jonckheere-type tests for right censored data (English)
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The considered data consist of \(s\) homogeneous groups of randomly right censored failure times. Let \(F_i\) be the cdf for the \(i\)-th group, \(\bar F_i=1- F_i\). Jonckheere-type tests for the hypothesis \(H_0:\) \(\bar F_1=\bar F_2=\dots=\bar F_s\) against \(\bar F_1\geq\bar F_2\geq\dots\geq\bar F_s\) are considered. The author considers three types of test statistics and three types of weights for them (Gehan, Peto-Prentice, log-rank). The asymptotic relative efficiency of the obtained tests is evaluated.
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