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Estimation of log‐odds ratio from group testing data using Firth correction
Author(s) -
Roy Surupa,
Banerjee Tathagata
Publication year - 2019
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.201800125
Subject(s) - odds ratio , statistics , firth , odds , likelihood ratio test , estimator , mathematics , score test , group testing , medicine , logistic regression , combinatorics , oceanography , geology
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 the individual testing.