A capture–recapture approach for screening using two diagnostic tests with availability of disease status for the test positives only

Böhning, Dankmar and Patilea, Valentin (2008) A capture–recapture approach for screening using two diagnostic tests with availability of disease status for the test positives only. Journal of the American Statistical Association, 103, (481), 212-221. (doi:10.1198/016214507000000383).


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The article considers screening human populations with two screening tests. If any of the two tests is positive, then full evaluation of the disease status is undertaken; however, if both diagnostic tests are negative, then disease status remains unknown. This procedure leads to a data constellation in which, for each disease status, the 2 × 2 table associated with the two diagnostic tests used in screening has exactly one empty, unknown cell. To estimate the unobserved cell counts, previous approaches assume independence of the two diagnostic tests and use specific models, including the special mixture model of Walter or unconstrained capture–recapture estimates. Often, as is also demonstrated in this article by means of a simple test, the independence of the two screening tests is not supported by the data. Two new estimators are suggested that allow associations of the screening test, although the form of association must be assumed to be homogeneous over disease status. These estimators are modifications of the simple capture–recapture estimator and easy to construct. The estimators are investigated for several screening studies with fully evaluated disease status in which the superior behavior of the new estimators compared to the previous conventional ones can be shown. Finally, the performance of the new estimators is compared with maximum likelihood estimators, which are more difficult to obtain in these models. The results indicate the loss of efficiency as minor

Item Type: Article
Digital Object Identifier (DOI): doi:10.1198/016214507000000383
ISSNs: 0162-1459 (print)
1537-274X (electronic)
Keywords: capture–recapture, capture–recapture estimator under screening test dependence, diagnostic test accuracy, testing independence
Subjects: H Social Sciences > HA Statistics
Divisions : Faculty of Medicine > Primary Care and Population Sciences
Faculty of Social and Human Sciences > Mathematical Sciences > Statistics
Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute
ePrint ID: 210443
Accepted Date and Publication Date:
March 2008Published
Date Deposited: 08 Feb 2012 15:29
Last Modified: 31 Mar 2016 13:49
URI: http://eprints.soton.ac.uk/id/eprint/210443

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