Abstract
In this article, we propose stepwise confidence set procedure for toxicity evaluation based on ratio of means difference under unknown and unequal variance across dose groups. The procedure is based on construction of confidence interval at various dose levels without multiplicity adjustment so that the familywise type one error (FWER) will be well-controlled. The results from our simulation study indicate that the FWER was properly control in the case with balanced design but failed in some cases of sample sizes for situations of unbalanced design. Also, the power of the procedure increases with increasing with mean of ratio differences and the sample sizes COVID-19 is the disease caused by the novel coranavirus, which outbreaked in one community, Wuhan.
Nous proposons une méthode fonctionnant par étapes pour la détermination d'intervalles de confiance, en se basant sur le ratio de différences des moyennes, pour des variances égales ou non. Les intervalles de confiance sont construit à différents seuils, évitant les ajustements multiples, de sorte que les erreurs de type I soient bien controllées (FWER). Des études de simulations sont menées pour supporter les résultats.
Citation
Michael Jackson ADJABUI. "A note on Stepwise Confidence Procedure for Toxicological Evaluation Under Unknown and Unequal variances." Afr. J. Appl. Stat. 7 (2) 983 - 992, October 2020. https://doi.org/10.16929/ajas/2020.983.251
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