Question: Harry and Judy Peterson-Nedry own a vineyard and winery in Newberg, Oregon. They grow several varieties of grapes and manufacture wine. Harry and Judy have used factorial designs for process and product development in the winemaking segment of their business. This problem describes the experiment conducted for their 1985 Pinot Noir. Eight variables shown below, were originally studied in the experiment:

Harry and Judy decide to use a \[2_{IV}^{8-4}\] design with 16 runs. The wine was tasted by a panel of experts on March 8, 1986. Each expert ranked all 16 samples of wine tasted, with rank 1 being the best. The design and the taste-test panel results are shown below.

1. What are the alias relationships in the design selected by Harry and Judy?
2. Use the average ranks ( \[\bar{y}\] ) as a response variable. Analyze the data and draw conclusions.
3. Use the standard deviations of the ranks (or some appropriate transformations such as log standard deviation s ) as a response variable. What conclusions can you draw about the effects of the eight variables on variability in wine quality?
4. After looking at the results Harry decide that one of the panel members (DCM) knows more about beer than he does about wine, so they decide to delete his ranking. What effect would have this have on the results and conclusions from parts (b) and (c)?

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