A note on the quality of Statistical Quality Control procedures

Statistical Quality Control (SQC) deals with the questions how to monitor, control and improve the quality of products and manufacturing processes by means of statistical methods. To this end the quality of products and processes is defined and statistical methods are used to determine the actual quality value. As there are many different statistical methods which can be used in a given situation, the question arises about the quality of statistical methods. Searching statistical literature for an answer reveals that statistical methods are evaluated rather by means of auxiliary criteria like, for instance, unbiasedness and consistency than by a unified measure reflecting quality. Hence, this paper is concerned with filling the existing gap by developing a measure for the quality of statistical procedures.