Inference based on taguchi's saturated designs

Abstract

The present paper studies the validity of inferential procedures which follow the Taguchi method, under saturated designs. The distribution of the signal to noise (S/N) ratio Y [ILM0001] is investigated,for normal parent distributions. We further investigate the distribution of orthonormal contrasts of such S/N variables. Finally, we discuss and provide critical values for mod-F tests of significance of parameters, when the k smallest SS values are pooled to serve as error variance estimate

Keywords:

• Saturated Designs
• Signal-to-Noise Ratio
• Taguchi
• Inference