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Changepoint Analysis Of Hiv Marker Responses, Joy Michelle Rogers
Changepoint Analysis Of Hiv Marker Responses, Joy Michelle Rogers
Mathematics Theses
We will propose a random changepoint model for the analysis of longitudinal CD4 and CD8 T-cell counts, as well as viral RNA loads, for HIV infected subjects following highly active antiretroviral treatment. The data was taken from two studies, one of the Aids Clinical Group Trial 398 and one performed by the Terry Beirn Community Programs for Clinical Research on AIDS. Models were created with the changepoint following both exponential and truncated normal distributions. The estimation of the changepoints was performed in a Bayesian analysis, with implementation in the WinBUGS software using Markov Chain Monte Carlo methods. For model selection, …
Assessing The Effect Of Prior Distribution Assumption On The Variance Parameters In Evaluating Bioequivalence Trials, Dawud A. Ujamaa
Assessing The Effect Of Prior Distribution Assumption On The Variance Parameters In Evaluating Bioequivalence Trials, Dawud A. Ujamaa
Mathematics Theses
Bioequivalence determines if two drugs are alike. The three kinds of bioequivalence are Average, Population, and Individual Bioequivalence. These Bioequivalence criteria can be evaluated using aggregate and disaggregate methods. Considerable work assessing bioequivalence in a frequentist method exists, but the advantages of Bayesian methods for Bioequivalence have been recently explored. Variance parameters are essential to any of theses existing Bayesian Bioequivalence metrics. Usually, the prior distributions for model parameters use either informative priors or vague priors. The Bioequivalence inference may be sensitive to the prior distribution on the variances. Recently, there have been questions about the routine use of inverse …