Correlation coefficient of response variances in compound noise and product array experiments

ABSTRACT

In robust parameter design, a compound noise experiment has been frequently used for reducing the number of experimental runs compared to a product array experiment. However, the results obtained by the compound noise experiment and the product array experiment are often much different. This paper derives an expression of the correlation coefficient of response variances in the compound noise and the product array experiments, which gives an explanation of that difference.

KEYWORDS:

• Compound noise
• correlation coefficient
• product array
• response variance
• robust parameter design.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62K25

Acknowledgments

The author would like to thank anonymous reviewers for constructive comments, which improved the paper. The author also would like to thank Dr. Teruo Mori for his valuable suggestions.

Funding

This work was supported by JSPS KAKENHI [grant number 15K15952].