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Full-Text Articles in Physical Sciences and Mathematics
Analysis Of Dependently Truncated Sample Using Inverse Probability Weighted Estimator, Yang Liu
Analysis Of Dependently Truncated Sample Using Inverse Probability Weighted Estimator, Yang Liu
Mathematics Theses
Many statistical methods for truncated data rely on the assumption that the failure and truncation time are independent, which can be unrealistic in applications. The study cohorts obtained from bone marrow transplant (BMT) registry data are commonly recognized as truncated samples, the time-to-failure is truncated by the transplant time. There are clinical evidences that a longer transplant waiting time is a worse prognosis of survivorship. Therefore, it is reasonable to assume the dependence between transplant and failure time. To better analyze BMT registry data, we utilize a Cox analysis in which the transplant time is both a truncation variable and …
Prevalence Of Chronic Diseases And Risk Factors For Death Among Elderly Americans, Guangming Han
Prevalence Of Chronic Diseases And Risk Factors For Death Among Elderly Americans, Guangming Han
Mathematics Theses
The main aim of this study is to explore the effects of risk factors contributing to death in the elderly American population. To achieve this purpose, we constructed Cox proportional hazard regression models and logistic regression models with the complex survey dataset from the national Second Longitudinal Study of Aging (LSOA II) to calculate the hazard ratios (HR)/odds ratios (OR) and confidence interval (CI) of risk factors. Our results show that in addition to chronic disease conditions, many risk factors, such as demographic factors (gender and age), social factors (interaction with friends or relatives), personal health behaviors (smoking and exercise), …
Cox Model Analysis With The Dependently Left Truncated Data, Ji Li
Cox Model Analysis With The Dependently Left Truncated Data, Ji Li
Mathematics Theses
A truncated sample consists of realizations of a pair of random variables (L, T) subject to the constraint that L ≤T. The major study interest with a truncated sample is to find the marginal distributions of L and T. Many studies have been done with the assumption that L and T are independent. We introduce a new way to specify a Cox model for a truncated sample, assuming that the truncation time is a predictor of T, and this causes the dependence between L and T. We develop an algorithm to obtain the adjusted risk sets and use the Kaplan-Meier …