Advisory Committee Chair
Xiangqin Cui
Advisory Committee Members
Immaculada Aban
Degui Zhi
Lisa Schwiebert
Victor Darley-Usmar
Document Type
Dissertation
Date of Award
2013
Degree Name by School
Doctor of Philosophy (PhD) School of Public Health
Abstract
In this dissertation we have adapted two multi-group equivalence tests to be performed on high-dimensional data. The F and Range test for multi-group equivalence were applied to the public microarray dataset GSE11291 to detect equivalently expressed genes. They were also evaluated in terms of type I error and power using single gene simulation and a high-dimension simulation. The F test has higher power than the Range for the same simulated data and parameter settings, in the single gene simulations. The power of the two tests is similar in the high-dimension simulation. The multi-group equivalence tests that were applied to the microarray dataset were used to create the R package EquivMulti. The package offers multi-group testing utilizing the F and Range tests of equivalence with the adaptations discussed in Finally, in a clinical trial setting we use simulation study and real data analysis to analyze the behavior of two existing multivariate equivalence tests, Hotellings T2 testand the intersection union test (IUT). We also propose an alternative multivariate equivalence test, Max Test, which we evaluate along with the others using simulation study and real data analysis.
Recommended Citation
Yang, Celeste, "A Study Of Multi-Group And Multivariate Tests Of Equivalence With Application To Microarray And" (2013). All ETDs from UAB. 3406.
https://digitalcommons.library.uab.edu/etd-collection/3406