A likelihood ratio test for completed sampling in population size estimation studies. Issue 2 (14th September 2022)

• Record Type: Journal Article
• Authors: Farcomeni, Alessio
• Is Part Of: Biometrical journal. Volume 65:Issue 2(2023)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2022-09-14
• Subjects: ascertainment bias -- chi‐bar squared -- capture–recapture -- constrained optimization; Biometry -- Periodicals; Medical statistics -- Periodicals; 570.15195
• DOI: 10.1002/bimj.202200129
• Languages: English
• ISSNs: 0323-3847

Abstract

Abstract: We propose a likelihood ratio test to assess that sampling has been completed in closed population size estimation studies. More precisely, we assess if the expected number of subjects that have never been sampled is below a user‐specified threshold. The likelihood ratio test statistic has a nonstandard distribution under the null hypothesis. Critical values can be easily approximated and tabulated, and they do not depend on model specification. We illustrate in a simulation study and three real data examples, one of which involves ascertainment bias of amyotrophic lateral sclerosis in Gulf War veterans.