8 research outputs found

    Semiparametric Regression with an Interval-Censored Covariate

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    In longitudinal studies, investigators are often interested in how the timing of an intermediateevent affects a future outcome. The intermediate event is often asymptomatic and its status can onlybe assessed at periodic examinations. Such an event is interval-censored in that its occurrence isonly known to lie in an interval induced by these examinations. The problem of interval-censoredcovariates has been previously studied only under restrictive conditions. In this dissertation, werelax these assumptions and present semiparametric regression models linking an interval-censoredintermediate event to various response variables.In the first chapter, we consider the case where the response variable of interest is continuous.We link the intermediate event and response through the rectified linear unit function, allowingfor interpretations in terms of duration of exposure to the intermediate event. We propose a nonparametricmaximum likelihood estimation approach using an expectation-maximization algorithm.We demonstrate the proposed approach through simulation studies and show that our method is robustto differential censoring patterns induced by missing visits. We present an application regressingsystolic blood pressure on interval-censored diabetes exposure.In the second chapter, we address the case where the response variable of interest is a rightcensoredevent time. We generalize the relationship between the outcome and intermediate event bylinking them through any non-constant function. We demonstrate the method through simulationstudies and a real data application.In the third chapter, we extend our previous work to longitudinal repeated measurements of acontinuous variable. We account for within-subject correlation through Gaussian-distributed randomeffects. We allow for time-dependent covariates to influence both the response and the occurrenceof the intermediate event. We demonstrate the approach through simulation studies and repeat theanalysis of Chapter 1 using repeated measurements of systolic blood pressure.In a brief fourth chapter, we develop regression models with an interval-censored covariate forresponse variables belonging to the exponential family. This extension provides researchers accessto analogs of generalized linear models such as logistic regression and the log-linear model. Wedemonstrate the performance of the approach, both with and without repeated measures, throughsimulation studies.Doctor of Philosoph

    Semiparametric linear regression with an interval-censored covariate in the atherosclerosis risk in communities study

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    In longitudinal studies, investigators are often interested in understanding how the time since the occurrence of an intermediate event affects a future outcome. The intermediate event is often asymptomatic such that its occurrence is only known to lie in a time interval induced by periodic examinations. We propose a linear regression model that relates the time since the occurrence of the intermediate event to a continuous response at a future time point through a rectified linear unit activation function while formulating the distribution of the time to the occurrence of the intermediate event through the Cox proportional hazards model. We consider nonparametric maximum likelihood estimation with an arbitrary sequence of examination times for each subject. We present an EM algorithm that converges stably for arbitrary datasets. The resulting estimators of regression parameters are consistent, asymptotically normal, and asymptotically efficient. We assess the performance of the proposed methods through extensive simulation studies and provide an application to the Atherosclerosis Risk in Communities Study

    An investigation into the leadership behavior of high school athletic directors

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    There is no abstract available for this research paper.School of Physical EducationThesis (M.A.

    An investigation into the leadership behavior of high school athletic directors

    No full text
    There is no abstract available for this research paper.Thesis (M.A.)School of Physical Educatio
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