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Unformatted text preview: STAT 8200 Design of Experiments for Research Workers Lab 7 Due: Tuesday, November 30 Example: Seven different hardwood concentrations are being studied to determine their effect on the paper produced. However, the pilot plant can only produce three runs each day. As days may differ, the analyst uses the balanced incomplete block design that follows. Hardwood Days Concentration 1 2 3 4 5 6 7 2 114 120 117 4 126 120 119 6 137 117 134 8 141 129 149 10 145 150 143 12 120 118 123 14 136 130 127 Obtain the file paper.sas from the course web page, run it and examine the program and its associated output. This design is a balanced incomplete block design with a = 7 treatments (the hardwood concentrations) and b = 7 blocks (the days). Each block is of size k = 3 because only three runs could be completed per day. Each treatment occurs r = 3 times in the design and each pair of treatment occurs in the design = 1 time. Examine the output from paper.sas. In the first section of paper.sas the classical intrablock analysis is performed. The Type I sums of squares are given for DAY and CONC. These SS s are really SS Day ( unadj ) and SS Conc ( adj ) respectively. The Type III SS s are really SS Day ( adj ) and SS Conc ( adj ) . Only the Type I SS s sum to SS T , but the Type III SS s are the appropriate ones for inference on both DAYs and CONCentrations....
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- Fall '08