A blended estimator for a measure of agreement with a gold standard

St. Laurent developed a measure of agreement for method comparison studies in which an approximate method of measurement was compared to a gold standard method of measurement. The measure of agreement proposed was shown to be related to a population intraclass correlation coefficient. In this paper, the authors develop a family of estimators for the measure of agreement based on pivotal quantities. A blend of two particular members of the family is suggested as an estimator itself. In general, the blended estimator outperforms the maximum likelihood estimator in terms of bias and mean-squared error.