ABSTRACT
In Chapter 3, we dealt with the problem of deciding whether the main effects of factors and the effect of the two-factor interactions should enter the prediction equation Y so that the best settings of factors that optimize theV location parameter can be obtained. However, the decision that was made in Chapter 3 was based on two non-statistical techniques, the Pareto chart and the factor contribution technique. In this chapter, we provide the experimenter with a widely used statistical technique called the analysis of variance (ANOVA) and its application in location optimization for two-level factorial designs. We begin with a simple example that illustrates the analysis of variance technique. In the manufacture of synthetic fiber, the material that isExample 6.1: still in the form of a continuous flow is subjected to high temperatures in order to improve its shrinkage properties. The data below are the results of two temperature tests at 120°C and 140°C, in percent shrinkage of the fiber.
