Bayesian Inference for Medical Screening Tests: Approximations Useful for the Analysis of Acquired Immune Deficiency Syndrome
开发了大样本贝叶斯方法，用于评估献血中人类免疫缺陷病毒抗体筛查测试的准确性，并估计疾病在人群中的流行率，用加拿大和英国数据说明。
SUMMARY In this paper, we develop large sample Bayesian methods for assessing the accuracy of screening tests that are used to detect antibodies to the human immunodeficiency virus in donated blood, and for assessing the prevalence of the disease in the population sampled from. We obtain approximate joint and marginal posterior distributions for the predictive values positive and negative of a test and, additionally, we obtain approximate predictive distributions for the number of future individuals that will test positively or be truly positive out of a new sample or population of interest. We illustrate our methods with data from Canada and the UK.