Testing multi-characteristic product capability indices

Abstract

Recently, studies associated with testing the quality and performance of each process for a product with multi-characteristics are proposed more often. However, most studies are limited to discussing one single type of quality characteristic. Practically, a multi-characteristic product is potentially composed of three types: smaller-the-better, larger-the-better, and nominal-the-best. In this paper, we propose an integrated product capability index which considers these three different types of quality characteristics. According to the theory of testing hypothesis, we develop a testing procedure for the product capability index to judge whether the process capabilities of total quality characteristics meet the customers’ demands. In addition, the relationship between the product capability index and the yield of the entire product will be introduced. Finally, an example is provided as a practical application.

Appendix

Table 3 The critical value ω based on α=0.05, v=1

Table 4 The critical value ω based on α=0.1, v=1

Table 5 The critical value ω based on α=0.05, v=1.33

Table 6 The critical value ω based on α=0.1, v=1.33

Table 7 The critical value ω based on α=0.05, v=1.50

Table 8 The critical value ω based on α=0.1, v=1.50

Table 9 The critical value ω based on α=0.05, v=2.00

Table 10 The critical value ω based on α=0.1, v=2.00