2019
DOI: 10.1002/bimj.201800125
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Estimation of log‐odds ratio from group testing data using Firth correction

Abstract: We consider the estimation of the prevalence of a rare disease, and the log-odds ratio for two specified groups of individuals from group testing data. For a low-prevalence disease, the maximum likelihood estimate of the log-odds ratio is severely biased. However, Firth correction to the score function leads to a considerable improvement of the estimator. Also, for a low-prevalence disease, if the diagnostic test is imperfect, the group testing is found to yield more precise estimate of the log-odds ratio than… Show more

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Cited by 6 publications
(11 citation statements)
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“…The simplicity of the idea, and its easy implementation, has led to its wide applicability in different fields (see Roy and Banerjee 15 and the references therein). Its use in the screening of sexually transmitted disease like chlamydia, gonorrhoea 21 and HIV 22,23 is worth mentioning.…”
Section: Dorfman Pooled Testing Techniquementioning
confidence: 99%
See 1 more Smart Citation
“…The simplicity of the idea, and its easy implementation, has led to its wide applicability in different fields (see Roy and Banerjee 15 and the references therein). Its use in the screening of sexually transmitted disease like chlamydia, gonorrhoea 21 and HIV 22,23 is worth mentioning.…”
Section: Dorfman Pooled Testing Techniquementioning
confidence: 99%
“…It is interesting to observe that most experts recommend use of pooled testing only for the screening purpose. However, the data collected by pooled testing can also be effectively utilized for the estimation of prevalence of the virus, which is a later development in pooled testing re-search 15 . This fact is not as widely known as the use of pooled testing for screening purpose in the general scientific community.…”
Section: Introductionmentioning
confidence: 99%
“…The simplicity of the idea, and its easy implementation, have led to its wide applicability in different fields, see Roy and Banerjee ( 2019 ) and the references therein. Its use in the screening of sexually transmitted diseases like chlamydia, gonorrhea (Lewis et al 2012 ), and HIV (Litvak et al 1994 ; Wein and Zenios 1996 ) is worth mentioning.…”
Section: Dorfman Pooled Testing Techniquementioning
confidence: 99%
“…It is interesting to observe that most experts recommend the use of pooled testing only for screening purpose. However, the data collected by pooled testing can also be effectively utilized for the estimation of the prevalence of the virus, which is a later development in pooled testing research (Roy and Banerjee 2019 ). This fact is not as widely known as the use of pooled testing for screening purposes in the general scientific community.…”
Section: Introductionmentioning
confidence: 99%
“…For a low prevalence, this strategy leads to mass screening using relatively fewer tests. This idea has gained wide applicability: sexually transmitted disease detection, bacteria in food detection and chemical compound discovery for use in new pharmaceuticals (see Bilder et al, 2020); studies of plant disease, fisheries, genotyping, see Roy & Banerjee (2019) and the references within. American Red Cross and the European Blood Alliance uses it to screen donated blood for infectious diseases (see Aprahamian et al, 2019;Bilder, 2014).…”
Section: Literature Review: Different Applications Of Pooled Testingmentioning
confidence: 99%