Some criteria and tests for the assessment of bioequivalence and biosimilarity

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dc.contributor.advisorMathew, Thomas TM
dc.contributor.authorElnaiem, Rabab Mahmoud Ahmed
dc.contributor.departmentMathematics and Statistics
dc.contributor.programStatistics
dc.date.accessioned2022-02-09T15:52:53Z
dc.date.available2022-02-09T15:52:53Z
dc.date.issued2020-01-01
dc.description.abstractBioequivalence testing deals with assessing the similarity of two drug products with respect to the rate and extent to which the active drug ingredient is absorbed into the blood, and becomes available at the site of drug action. A common bioequivalence criterion is that of average bioequivalence (ABE), which states that the difference between appropriate mean responses is within pre-specified equivalence limits. A popular test for ABE is the two one-sided t-test (TOST). However, the TOST is very conservative when the variability is large. The conservatism is satisfactorily addressed in the first part of our work by applying a bootstrap calibration.The bootstrap calibrated TOST has a type I error probability close to the nominal level, resulting in significant gain in power. Instead of focusing on a criterion based on averages, an evaluation of the similarity between the distributions of the responses can be used as an alternative criterion to assess bioequivalence. In the second part of our work, we propose the overlap coefficient (OVL), which represents the area of overlap between two probability distributions, as a measure of the similarity between two distributions. Using a fiducialapproach, we have explored the computation of confidence limits for the OVL. The confidence limits can be used to decide if the OVL value is large enough in order to declare similarity. The third part of our work is on the assessment multivariate bioequivalence. We have explored some tests that utilize the standard Hotellings T2 based confidence regions. We conclude equivalence if the confidence region is a subset of the parameter space under equivalence. In addition, we have also addressed some general equivalence testing problems in the multivariate case. These include developing the criteria, and suggesting test procedures, for the equivalence of two or more covariance matrices, and the simultaneous equivalence of several mean vectors and several covariancematrices. Throughout the thesis, all of our results are illustrated with examples and the corresponding data analysis.
dc.formatapplication:pdf
dc.genredissertations
dc.identifierdoi:10.13016/m2fnb5-bvty
dc.identifier.other12323
dc.identifier.urihttp://hdl.handle.net/11603/24211
dc.languageen
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics and Statistics Department Collection
dc.relation.ispartofUMBC Theses and Dissertations Collection
dc.relation.ispartofUMBC Graduate School Collection
dc.relation.ispartofUMBC Student Collection
dc.sourceOriginal File Name: Elnaiem_umbc_0434D_12323.pdf
dc.subjectBioequivalence
dc.subjectbiosimilarity
dc.subjectbootstrap calibrated
dc.subjectfiducial approach
dc.subjectoverlap coefficient
dc.titleSome criteria and tests for the assessment of bioequivalence and biosimilarity
dc.typeText
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