The effects of normal mixtures and autocorrelation on the fraction non-conforming

In this article the effects of mixtures of two normal distributions on the fraction nonconforming are studied in the context of capability analysis. When the output from several processes is mixed, the quality characteristic variables of the resulting mix may result in a normal mixture distribution. This can happen in cases such as monitoring an output from several suppliers, several machines, or several workers. This study considered the independence case and autocorrelated processes for a mixture of two normal distributions, using a autoregressive model of order one, AR(1). It is shown that the true attained process fraction nonconforming (corresponding to specific values for some capability index) can be very different from what is expected when the data are independent normal random variables.Journal ArticleAuthor's accepted manuscrip