Discuss how a fractional factorial design can be performed for the problem in Exercise 9.3.1.
Exercise 9.3.1
Suppose a large retail chain decides to introduce clothing in two types of materials€™ (ordinary, fine) qualities. Each store will have two different proportions (40, 60%) displayed. At the end of the month, profits from each store for these two types of clothing are recorded. Table 9.3.1 represents the average profits for each of the quality-proportion combinations.
Discuss this as a one-factor-at-a-time experiment to predict the average amount of profit.
Table 9.3.1 Two Types of Clothing and Profit

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Quality Average Profit $10,000 $25,000 $9500 7 Proportion (%) Ordinary Ordinary