Online Archive of University of Virginia Scholarship
Improving Evaluations of Cancer Screening through Better Methods of Estimating Preclinical Distributions448 views
Author
Weinstock, Justin, Statistics - Graduate School of Arts and Sciences, University of Virginia0000-0001-5941-0408
Advisors
Kafadar, Karen, AS-Statistics, University of Virginia
Abstract
In a randomized controlled cancer screening trial, the screen-detected cancers present a length-biased sample of all preclinical durations, as cases that progress more slowly prior to diagnosis are more likely to be caught by regular screening than their faster-paced counterparts. This leads to an overestimate of the life-extending benefits of the screening test being evaluated. Previous research has shown that the severity of the length-biased sampling effect depends on the joint distribution of preclinical and clinical durations, but these simulation studies did not make data-driven choices for the distributions of these cancer growth periods.
We discovered that a mixture of two exponential distributions fit the clinical durations from three historic screening trials well after developing a simple exploratory procedure to estimate the parameters of such a mixture model. Furthermore, we found that, when simulating preclinical durations from the same type of mixture distribution, the parameters could be inferred from the pattern of diagnoses in the trial, a key finding given that preclinical durations are unobservable in a real trial. We used these simulated results to train a predictive model to estimate the distribution of preclinical durations from observable trial outcomes. Finally, we calculated the mean length-biased sampling effect under a variety of preclinical duration distributions, screening test sensitivity models, and screening programs. Using our approach to predict preclinical duration distribution parameters from trial outcomes could allow for the length-biased sampling effect to be more accurately specified for a real cancer screening trial.
Degree
PHD (Doctor of Philosophy)
Keywords
cancer screening; mixture distributions; length-biased sampling
Language
English
Rights
All rights reserved (no additional license for public reuse)
Weinstock, Justin. Improving Evaluations of Cancer Screening through Better Methods of Estimating Preclinical Distributions. University of Virginia, Statistics - Graduate School of Arts and Sciences, PHD (Doctor of Philosophy), 2020-05-09, https://doi.org/10.18130/v3-r58d-wr83.