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Physical Sciences and Mathematics Commons

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Statistics and Probability

University of Kentucky

Biostatistics

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Full-Text Articles in Physical Sciences and Mathematics

Estimation Of Exposure Distribution Adjusting For Association Between Exposure Level And Detection Limit, Yuchen Yang, Brent J. Shelton, Thomas Tucker, Li Li, Richard Kryscio, Li Chen Aug 2017

Estimation Of Exposure Distribution Adjusting For Association Between Exposure Level And Detection Limit, Yuchen Yang, Brent J. Shelton, Thomas Tucker, Li Li, Richard Kryscio, Li Chen

Statistics Faculty Publications

In environmental exposure studies, it is common to observe a portion of exposure measurements to fall below experimentally determined detection limits (DLs). The reverse Kaplan–Meier estimator, which mimics the well‐known Kaplan–Meier estimator for right‐censored survival data with the scale reversed, has been recommended for estimating the exposure distribution for the data subject to DLs because it does not require any distributional assumption. However, the reverse Kaplan–Meier estimator requires the independence assumption between the exposure level and DL and can lead to biased results when this assumption is violated. We propose a kernel‐smoothed nonparametric estimator for the exposure distribution without imposing …


An Exploratory Statistical Method For Finding Interactions In A Large Dataset With An Application Toward Periodontal Diseases, Joshua Lambert Jan 2017

An Exploratory Statistical Method For Finding Interactions In A Large Dataset With An Application Toward Periodontal Diseases, Joshua Lambert

Theses and Dissertations--Epidemiology and Biostatistics

It is estimated that Periodontal Diseases effects up to 90% of the adult population. Given the complexity of the host environment, many factors contribute to expression of the disease. Age, Gender, Socioeconomic Status, Smoking Status, and Race/Ethnicity are all known risk factors, as well as a handful of known comorbidities. Certain vitamins and minerals have been shown to be protective for the disease, while some toxins and chemicals have been associated with an increased prevalence. The role of toxins, chemicals, vitamins, and minerals in relation to disease is believed to be complex and potentially modified by known risk factors. A …