Bohning, Dankmar, Sangnawakij, Patarawan and Holling, Heinz (2020) On the exact null-distribution of a test for homogeneity of the risk ratio in meta-analysis of studies with rare events. Journal of Statistical Computation and Simulation. (In Press)
Abstract
This paper focuses on the test for homogeneity of relative risk in meta-analysisof count outcomes. Meta-analysis of studies with rare events faces particular chal-lenges, since the number of studies are low and the frequency of events may besmall in some or all treatment arms. In such a case, the conventional chi-square testfor homogeneity becomes undefined and we suggest a new chi-square test which isalways defined. However, the chi-square approximation is poor. We therefore intro-duce methodology to obtain its exact distribution which is based on the productbinomial likelihood. The exact p-value is then derived and the performance of themethod is investigated using simulations. The results show that the type I error ofthe proposed method satisfies the nominal significance level in rare events situations.Also, the exact distribution behaves very similar to the simulated distribution. Areal data example of a meta-analysis with an extreme form of rare event studies isused to illustrate the new test.
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- Faculties (pre 2018 reorg) > Faculty of Engineering and the Environment (pre 2018 reorg) > Southampton Marine & Maritime Institute (pre 2018 reorg)
- Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg)
Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg)
School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) - Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Statistics
School of Mathematical Sciences > Statistics - Faculties (pre 2018 reorg) > Faculty of Natural and Environmental Sciences (pre 2018 reorg) > Institute for Life Sciences (pre 2018 reorg)
Current Faculties > Faculty of Environmental and Life Sciences > Institute for Life Sciences > Institute for Life Sciences (pre 2018 reorg)
Institute for Life Sciences > Institute for Life Sciences (pre 2018 reorg)
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