Suppose that in Problem 13-22 four technicians had been used. Assuming that all the factors are fixed, how many blocks should be run to obtain an adequate number of degrees of freedom on the test for differences among technicians?

Problem 13-22

Consider the split-split-plot design described in Example 13-3. Suppose that this experiment is conducted as described and that the data shown in the following table are obtained. Analyze the data and draw conclusions.

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Technician 1 2 3 Replicates (or Blocks) Dosage Strengths 1 1 3 1 3 Wall Thickness 1 95 71 108 96 70 108 95 70 100 1 104 82 115 99 84 100 102 81 106 101 85 117 95 83 105 105 84 113 4 108 85 116 97 85 109 107 87 115 1 95 78 110 100 72 104 92 69 101 2 2 106 84 109 101 79 102 100 76 104 3 103 86 116 99 80 108 101 80 109 4 109 84 110 112 86 109 108 86 113 1 96 70 107 94 66 100 90 73 98 2 105 81 106 100 84 101 97 75 100 3 106 88 112 104 87 109 100 82 104 4 113 90 117 121 90 117 110 91 112 1 90 68 109 98 68 106 98 72 101 2 100 84 112 102 81 103 102 78 105 3 102 85 115 100 85 110 105 80 110 4 114 88 118 118 85 116 110 95 120 3. 2. 434 3. 4.