The Cox regression model, random censoring and locally optimal rank tests (Q1061427)
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scientific article; zbMATH DE number 3911490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cox regression model, random censoring and locally optimal rank tests |
scientific article; zbMATH DE number 3911490 |
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The Cox regression model, random censoring and locally optimal rank tests (English)
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1984
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The paper considers the Cox regression model for survival data. The parameters of interest are contained in the vector \(\beta\) and the hypothesis of interest is \(H_ 0:\beta =0.\) It is shown that the log- rank statistic does not generally provide LMPR (or maximin) tests, even for the case of the two sample problem. For this reason conditions on the hazard rates are investigated, under which the log-rank statistic has some locally optimal properties. The paper addresses also to the gain in efficiency of the Cox procedure over the log-rank procedure, and some asymptotic results are given.
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random censoring
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locally optimal rank tests
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covariates
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LMPR test
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withdrawal
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locally most powerful rank test
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Cox regression model
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survival data
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log-rank statistic
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hazard rates
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