Bayesian Credible Sets for Odds Ratio of Two Binomial Proportions Using Double Sampling with False-Positive Misclassification

Abstract

KEY WORDS AND PHRASESBayesian approach; binary data; double sampling; false positive; interval estimation; misclassification; odds ratios SYNOPTIC ABSTRACTA Bayesian approach is considered for a point and interval estimation for odds ratios of two binomial proportion parameters using doublesampling data subject to false-positive misclassification. For such data, we derive an easy-to-implement, closed-form algorithm for drawing from the posterior distributions. Application of this algorithm is illustrated using data collected about student laboratory grades from a course.