Abstract
Methods of the nested analysis of variance procedures are discussed and a formalized three-way nested model is outlined. A summary of the statistical tests for the assumptions relevant to the model is given together with an outline of the numerical methods for calculating the sum of squares, the degrees of freedom, the mean squares, the tests of significance, and the estimate of variance components. Several methods are given for obtaining confidence limits for variance components. Procedures are presented for utilizing the variance components to estimate process and/or control limits and to obtain the most efficient or optimum sampling scheme. Some differences between the nested analysis of variance model and the crossed analysis of variance model are explained.
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