Roy Surupa, Banerjee Tathagata
Department of Statistics, St Xavier's College, Kolkata, India.
Indian Institute of Management, Ahmedabad, Vastrapur, Ahmedabad, India.
Biom J. 2019 May;61(3):714-728. doi: 10.1002/bimj.201800125. Epub 2019 Jan 15.
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.
我们考虑从分组检测数据中估计一种罕见疾病的患病率，以及两个特定个体组的对数优势比。对于低患病率疾病，对数优势比的最大似然估计存在严重偏差。然而，对得分函数进行费思校正会使估计量有相当大的改进。此外，对于低患病率疾病，如果诊断测试不完善，发现分组检测比分个体检测能更精确地估计对数优势比。
