Doctor of Philosophy, The Ohio State University, 2010, Statistics
Multiple sclerosis (MS) is an autoimmune disease in which the body's own immune
system attacks the central nervous system. Relapsing remitting MS
(RRMS) is an initial stage of the disease where the patient experiences distinct
phases of relapse and remittance. Magnetic resonance imaging (MRI) is commonly
used to monitor the RRMS disease progression. MRI scans of the brain are taken each month and the total number of new MRI lesions seen during the follow-up period is used as the response variable of interest. The Negative Binomial (NB) and the Poisson-Inverse Gaussian (P-IG) distributions have been shown to fit this over-dispersed data well. Currently, only nonparametric tests are being used to test for the treatment effect in RRMS trials, but the NB and P-IG distributions have been used for simulating the MRI data for the power analyses of these tests and determination of the associated sample sizes.
We consider three different trial designs in our study, namely parallel
group (PG), baseline vs. treatment (BVT), and parallel group with a baseline correction (PGB). We identify the treatment effect by the parameter γ, with 1-γ representing the proportion reduction in the mean count of new lesions. For these designs we investigate the finite-sample properties of likelihood based parametric tests such as the likelihood ratio test (LRT) and Rao's score test (RST) for γ, and Wald tests (WT) for g(γ) with g(γ) = γ, γ2, √γ, and log(γ).
We use the NB and the P-IG models for PG trials and propose optimal likelihood based tests. Recently, tests based on the NB model have been proposed for PG trials; they rely on the chi-square approximation and do not maintain Type I error rates for small samples. We propose simulation based tests that maintain Type I error rates, and for the NB model we also consider the case of unequal dispersion parameters for the two groups. For BVT and PGB trials, assuming a bivariate NB (BNB) model, we investigate various parametric test (open full item for complete abstract)
Committee: Haikady N. Nagaraja PhD (Advisor); Jason C. Hsu PhD (Committee Member); Eloise Kaizar PhD (Committee Member); Thomas J. Santner PhD (Committee Member)
Subjects: Biostatistics; Statistics