Identifying Minimum Effective Dose Under Heteroscedasticity
Michael J. Adjabui, Jakperik Dioggban, Irene D. Angbing
Asian Research Journal of Mathematics · pp. 34–43 · Published 14 Jun 2021
10.9734/arjom/2021/v17i430292Abstract
We propose a stepwise confidence procedure for identifying minimum effective dose (MED) without multiplicity adjustment.Stepwise procedures strongly control the familywise error rate (FWER) which is a critical requirement for statistical methodologies in identification of MED. The partitioning principle is invoked to validate the control of the FWER. Our simulation study indicates that the FWER was properly controlled in the case with balanced design but failed in some cases of sample sizes for situations of unbalanced design. In addition, the power of the procedure increases with increasing mean of ratio differences and the sample sizes.
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