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Article

A Statistical Method to Schedule the First Exam Using Chest X-Ray in Lung Cancer Screening

by
Farhin Rahman
and
Dongfeng Wu
*,†
Department of Bioinformatics and Biostatistics, School of Public Health and Information Sciences, University of Louisville, 485 E. Gray St., Louisville, KY 40202, USA
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2025, 13(16), 2623; https://doi.org/10.3390/math13162623
Submission received: 14 June 2025 / Revised: 31 July 2025 / Accepted: 4 August 2025 / Published: 15 August 2025
(This article belongs to the Special Issue Statistical Analysis and Modeling in Medical Research)

Abstract

We applied a recently developed statistical method to the National Lung Screening Trial (NLST) chest X-ray data, to find the optimal time for initiating chest X-ray screening in asymptomatic individuals. Incidence probability was used to control the risk of clinical incidence before the first exam, constraining it to a small value, given one’s current age. The simulation study shows that the optimal screening age remains relatively consistent as the current age increases. Notably, male heavy smokers tend to have slightly later screening ages compared to females, which contrasts with findings from the NLST study using computed tomography (CT) scans. After the future screening time/age is found, we can estimate the lead time distribution and the probability of overdiagnosis if one would be diagnosed at this future time/age. The lead time is relatively consistent across incidence probability and sensitivity, with a slight decrease in the mean lead time as the current age increases, and it is positively correlated with the sojourn time. The probability of overdiagnosis exhibits positive correlations with the mean sojourn time, incidence probability, and the current age, with only slight changes in sensitivity. Overall, the probability of overdiagnosis is small and is not a concern at a younger age.
Keywords: lung cancer; incidence probability; overdiagnosis; lead time; sensitivity lung cancer; incidence probability; overdiagnosis; lead time; sensitivity

Share and Cite

MDPI and ACS Style

Rahman, F.; Wu, D. A Statistical Method to Schedule the First Exam Using Chest X-Ray in Lung Cancer Screening. Mathematics 2025, 13, 2623. https://doi.org/10.3390/math13162623

AMA Style

Rahman F, Wu D. A Statistical Method to Schedule the First Exam Using Chest X-Ray in Lung Cancer Screening. Mathematics. 2025; 13(16):2623. https://doi.org/10.3390/math13162623

Chicago/Turabian Style

Rahman, Farhin, and Dongfeng Wu. 2025. "A Statistical Method to Schedule the First Exam Using Chest X-Ray in Lung Cancer Screening" Mathematics 13, no. 16: 2623. https://doi.org/10.3390/math13162623

APA Style

Rahman, F., & Wu, D. (2025). A Statistical Method to Schedule the First Exam Using Chest X-Ray in Lung Cancer Screening. Mathematics, 13(16), 2623. https://doi.org/10.3390/math13162623

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