Interim analysis of clinical trials: Simulation studies of fractional Brownian motion

Interim clinical trial monitoring procedures were motivated by ethical and economic considerations. Classical Brownian motion (Bm) techniques for statistical monitoring of clinical trials were widely used. Conditional power argument and α-spending function based boundary crossing probabilities are popular statistical hypothesis testing procedures under the assumption of Brownian motion. However, it is not rare that the assumptions of Brownian motion are only partially met for trial data. Therefore, I used a more generalized form of stochastic process, called fractional Brownian motion (fBm), to model the test statistics. Fractional Brownian motion does not hold Markov property and future observations depend not only on the present observations but also on the past ones. In this dissertation, we simulated a wide range of fBm data, e.g., H = 0.5 (that is, classical Bm) vs. 0.5< H <1, with treatment effects vs. without treatment effects. Then the performance of conditional power and boundary-crossing based interim analyses were compared by assuming that the data follow Bm or fBm. Our simulation study suggested that the conditional power or boundaries under fBm assumptions are generally higher than those under Bm assumptions when H > 0.5 and also matches better with the empirical results. ^

The effects of antipsychotic medications on eye movements in schizophrenia

Schizophrenia is the most prevalent mental disorder in the world, affecting approximately one percent of the population. Antipsychotic medications have successfully treated schizophrenic psychotic symptoms for years, however their positive effects on cognitive dysfunction, a core feature of schizophrenia, are inconclusive. Recent studies have shown that improved cognitive functioning is most often associated with the best long-term prognosis. Thus, clarifying the cognitive effects of commonly prescribed antipsychotic medications is pivotal to improving quality of life and long-term care of schizophrenic patients.^ Previous studies on cognitive dysfunction in schizophrenia utilized complex neuropsychological tasks requiring many intact areas of the brain for proper completion. These complexities make interpretation of acquired data difficult. Recently, eye movements have been identified as a more effective surrogate for investigating cognitive functioning. Eye movements are easily measured, require known discrete areas of the brain for processing, and are ubiquitous. They influence what we attend to and process in the brain; thus they are a pivotal aspect of cognitive functioning. This study sought to examine the effects of antipsychotic medications on eye movements in forty-two schizophrenic patients. These patients were divided equally into the three tested medication groups: haloperidol, olanzapine, and aripiprazole. To the extent possible, these groups were further separated into task-impaired and task-nonimpaired subgroups, and again analyzed. Clinical and neuropsychological scales were administered to assess clinical and eye movement changes.^ The results of this study found the olanzapine-treated group exhibited superior cognitive effects to the aripiprazole-treated group, who was superior to the haloperidol-treated group. Furthermore, upon subdivision into cognitively impaired and nonimpaired subgroups, both olanzapine-treated subgroups continued to show improvement, while only the aripiprazole-treated impaired subgroup showed cognitive benefit. The haloperidol-treated nonimpaired subgroup actually demonstrated worsening effects. Interestingly, despite the cognitive decline of some subgroups, the clinical assessment results indicated virtually all subgroups exhibited significant clinical improvement. Hence, careful selection of an antipsychotic medication is crucial, as this study shows some treatments may help whereas others may hinder cognitive functioning in schizophrenia. ^ The results of this study are extremely important given the relationship between cognitive improvement and long-term prognosis in schizophrenia. Finally, and perhaps most importantly, these results indicate that clinical improvement is not necessarily indicative of cognitive improvement. ^

The relationship between supermarket nutrient movements and the mortality rates from fat-associated and non-fat-associated cardiovascular disease: Development of an ecologic method for determining community food patterns

Supermarket nutrient movement, a community food consumption measure, aggregated 1,023 high-fat foods, representing 100% of visible fats and approximately 44% of hidden fats in the food supply (FAO, 1980). Fatty acid and cholesterol content of foods shipped from the warehouse to 47 supermarkets located in the Houston area were calculated over a 6 month period. These stores were located in census tracts with over 50% of a given ethnicity: Hispanic, black non-Hispanic, or white non-Hispanic. Categorizing the supermarket census tracts by predominant ethnicity, significant differences were found by ANOVA in the proportion of specific fatty acids and cholesterol content of the foods examined. Using ecological regression, ethnicity, income, and median age predicted supermarket lipid movements while residential stability did not. No associations were found between lipid movements and cardiovascular disease mortality, making further validation necessary for epidemiological application of this method. However, it has been shown to be a non-reactive and cost-effective method appropriate for tracking target foods in populations of groups, and for assessing the impact of mass media nutrition education, legislation, and fortification on community food and nutrient purchase patterns. ^