day27 - Multiple Comparison Procedures Example Chemitech...

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Multiple Comparison Procedures Example : Chemitech developed a new filtration system for municipal water supplies. The industrial engineering groups must determine the best assembly method for the new filtration system. There are three alternatives: method A, method B, and method C. 15 workers were randomly selected, and then each of the three methods was randomly assigned to five workers. The num- ber of units assembled during one week is recorded for each worker. We used the ANOVA F test to determine whether the average number of units assembled for the three methods was the same. The ANOVA table was: Source of Sum of Degrees of Mean Variation Squares Freedom Square F p -value Treatments 520 2 260 9.18 0.004 Error 340 12 28.3 Total 860 14 The hypotheses: The test statistic: The p -value and conclusion: 1
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Rejecting the null hypothesis for the F test only tells us that the popu- lation means are different. It does NOT tell us how the means are different.
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