Binomial Reliability Demonstration Tests with Dependent Data

Binomial reliability demonstration tests are a way to demonstrate the product or process capability where binary data are available. It is easy to compute the sample size for a binomial reliability demonstration test (BDRT) when the assumption of independent samples holds. However, the assumption of independence may not always be valid; thus, it is desirable to account for this dependence in a sample size calculation. We show how a Markov dependence model can be used to calculate the sample size. We provide tables of sample sizes and give an example for which a BRDT can be performed with dependent data.