Missing two key parameters in the pooled testing strategy

Abstract The pooled testing strategy [1] misses two key parameters, the infection prevalence p and its variance mentioned many times in the paper as the key determinants of any pooled testing strategy. For illustrating their methods, the authors used p from other studies that employed individual tests. It turned that that no statistical estimators for p and its variance have ever been derived for testing data of pooled samples since the first formulation of testing strategies based on pooled sampled in 1943 [2]. Here I derive the maximum likelihood estimators for p and its variance based on tests of pooled samples. This should result in significant saving in time, resource, and costs.