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Testing for effects on variance in experiments with factorial treatment structure and nested errors. (English) Zbl 0871.62065
Summary: There is increased interest in industrial experiments aimed at improving quality by reducing the variability of a product characteristic while maintaining the desired mean level of the characteristic. Analysis of treatment effects on variability, however, is more difficult than analyzing the effects on mean performance.
We extend the results of M. Zelen [ibid. 1, 269-288 (1959)] to test for treatment effects on variance when there are two sources of variability: that which exists between production runs or setups and variability within runs. Bootstrap critical values are developed to handle possibly nonnormal errors at either level of variability.

MSC:
62K15 Factorial statistical designs
62P30 Applications of statistics in engineering and industry; control charts
62J10 Analysis of variance and covariance (ANOVA)
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