A composite binomial model derived from correlated ramdom variables
Motivated by a corrlelatin problem in a power calculation of proficienc y testing, a composite binomial model is developed to describe the distribution for the number of outliers from measurement results of multiple nalytes contained in a sdingle sampler. This model is different from other binomial models in that its component Bernoulli variables are derived from correlateed random variables. By modeling the correlated random variables to Bernoulli variables, various composite binomial distributions can be derived. Formulas for calculating the Probabilities of the composite binomial distribution are provided. Although the composite binomial model is dev eloped for a powercalculation,it can be applied to other problems related to a sum of correlated Bernoulli variables.