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Hypothesis tests based on regression effect processHypothesis tests

In: Survival Analysis

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  • John O’Quigley

    (University College London, Department of Statistical Science)

Abstract

We revisit the standard log-rank test and several modifications of it that come under the heading of weighted log-rank tests. Taken together these provide us with an extensive array of tools for the hypothesis testing problem. Importantly, all of these tests can be readily derived from within the proportional and non-proportional hazards framework. Given our focus on the regression effect process, it is equally important to note that these tests can be based on established properties of this process under various assumptions. These properties allow us to cover a very broad range of situations. With many different tests, including goodness-of-fit tests, coming under the same heading, it makes it particularly straightforward to carry out comparative studies on the relative merits of different choices. Furthermore, we underline the intuitive value of the regression effect process since it provides us with a clear visual impression of the possible presence of effects as well as the nature of any such effects. In conjunction with formal testing, the investigator has a powerful tool to study dependencies and co-dependencies in survival data.

Suggested Citation

  • John O’Quigley, 2021. "Hypothesis tests based on regression effect processHypothesis tests," Springer Books, in: Survival Analysis, chapter 0, pages 301-350, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-33439-0_11
    DOI: 10.1007/978-3-030-33439-0_11
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