Taguchi method is widely used in practice. Taguchi method consists of the collection of procedures which Dr. Gen-ichi Taguchi had been developing for years. Particularly, MT (Mahalanobis Taguchi) system has come into wide use. The prototype of MT system is called MT procedure, which discriminates extraordinary samples from normal ones by using Mahalanobis distance. This type of procedure is long-established in the fields of statistical science. However, Dr. Taguchi had been developing a lot of simple procedures which were incorporated with innovative ideas.
In this paper we deal with MT procedure, MTA procedure, RT procedure and T procedure which are major in MT system, and point out their theoretical properties. Furthermore, we propose several improved procedures and discuss their efficiencies. This paper consists of our related papers which were published.
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