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Unformatted text preview: Analysis of Variance 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 number of units assembled during one week is recorded for each worker. Method A Method B Method C 58 58 48 64 69 57 55 71 59 66 64 47 67 68 49 Sample Mean 62 66 52 Sample Std. Dev. 5.244 5.148 5.568 This is an example of a completely randomized design . What is the factor? What are the treatments? What is the response variable? How many replications are there? 1 Goal : To test for the equality of k population means for a completely ran- domized design. The hypotheses: H : μ 1 = μ 2 = ··· = μ k H a : Not all population means are equal where μ j is the mean of the jth population....
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This note was uploaded on 01/24/2011 for the course STATISTICS 19897 taught by Professor Jager,abigaill during the Fall '10 term at Kansas State University.
- Fall '10