The successful Clarkson knife-gate valve contains a wafer that is thin and light

Question

The successful Clarkson knife-gate valve contains a wafer that is thin and light. Yet, the wafer is so strong it can operate with up to 150 pounds-per-square-inch (psi) of pressure on it, making it much stronger than those of competing brands. Suppose Tyco engineers have developed a new wafer that is even stronger. They want to set up an experimental design to test the strength of the wafer but they want to conduct the tests under three different temperature conditions, 7o degree, 110 degree, and 150 degree. In addition, suppose Tyco uses two different suppliers (company A and company B) of the synthetic materials that are used to manufacture the wafers. Some wafers are made primarily of raw materials supplied by company A, and some are made primarily of raw materials from company B. Thus, the engineers have set up a2 times 3 factorial design with temperature and supplier as the independent variables and pressure (measured in psi) as the dependent variable. Data are gathered and are shown here. Analyze the data and discuss the business implications of the findings. If you were conducting the study, what would you report to the engineers?

Explanation / Answer

We performed 2 way ANOVA using excel add in:

based on p-values, we conclude that only temperature factor has significant effect.

Anova: Two-Factor With Replication SUMMARY 110-deg 150-deg Total 163 Count 3 3 6 Sum 474 423 897 Average 158 141 149.5 Variance 13 21 100.3 158 Count 3 3 6 Sum 476 447 923 Average 158.6667 149 153.8333 Variance 2.333333 43 46.16667 Total Count 6 6 Sum 950 870 Average 158.3333 145 Variance 6.266667 44.8 ANOVA Source of Variation SS df MS F P-value F crit Suppliers 56.33333 1 56.33333 2.840336 0.130414 5.317655 temperature 533.3333 1 533.3333 26.89076 0.000837 5.317655 Interaction 40.33333 1 40.33333 2.033613 0.191687 5.317655 Within 158.6667 8 19.83333 Total 788.6667 11

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