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This paper deals with the theory of a proposed method for the statistical study of measuring processes. The practical aspects of the method, including computational details, are discussed in a companion paper published in the ASTM Bulletin. In the present article a theoretical framework is proposed for the mathematical expression of the sources of variation in measuring methods and a suitable method of statistical analysis is described. Particular attention is given, both here and in the companion paper, to interlaboratory studies of test methods. An illustration based on data taken from the chemical literature is appended.
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