8.30. Harry Peterson-Nedry (a friend of the author) owns a vineyard and winery in Newberg, Oregon. He grows several varieties of grapes and produces wine. Harry has used factorial designs for process and product development in the winemaking segment of the business. This problem describes the experiment conducted for the 1985 Pinot Noir. Eight variables, shown in Table P8.5, were originally studied in this experiment:

Harry decided to use a design with 16 runs. The wine was tastetested by a panel of experts on March 8, 1986. Each expert ranked the 16 samples of wine tasted, with rank 1 being the best. The design and the taste-test panel results are shown in Table P8.6.

(a) What are the alias relationships in the design selected by Harry?

(b) Use the average ranks as a response variable.
Analyze the data and draw conclusions. You will find it helpful to examine a normal probability plot of the effect estimates.

(c) Use the standard deviation of the ranks (or some appropriate transformation such as log s) as a response variable. What conclusions can you draw about the effects of the eight variables on variability in wine quality?

(d) After looking at the results, Harry decides 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 this have on the results and conclusions from parts

(b) and (c)?

(e) Suppose that just before the start of the experiment, Harry and Judy discovered that the eight new barrels they ordered from France for use in the experiment would not arrive in time, and all 16 runs would have to be made with old barrels. If Harry just drops column C from their design, what does this do to the alias relationships?
Does he need to start over and construct a new design?

(f) Harry knows from experience that some treatment combinations are unlikely to produce good results. For example, the run with all eight variables at the high level generally results in a poorly rated wine. This was confirmed in the March 8, 1986 taste test. He wants to set up a new design for their 1986 Pinot Noir using these same eight variables, but he does not want to make the run with all eight factors at the high level. What design would you suggest?

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A B C D E F Resist Thickness Run Volume Batch Time (sec) Speed Acc. Cover Left Center Right Avg. Range 1 2 3 4 5533 Batch 2 14 7350 5 Off 4531 4531 4515 4525.7 16 Batch 1 6 7350 5 Off 4446 4464 4428 4446 36 Batch 1 6 6650 5 Off 4452 4490 4452 4464.7 38 Batch 2 14 7350 20 Off 4316 4328 4308 4317.3 20 5 3 Batch 1 14 7350 5 Off 4307 4295 4289 4297 18 67 5 Batch 1 6 6650 20 Off 4470 4492 4495 4485.7 25 3 Batch 1 6 7350 5 On 4496 4502 4482 4493.3 20 8 5 Batch 2 14 6650 9 5 Batch 1 14 6650 10 3 Batch 1 14 6650 11 3 Batch 2 14 6650 20 12 3 Batch 1 6 7350 13 5 Batch 1 6 6650 14 3 Batch 1 6 6650 20 15 16 18 19 20 21 23 25 29 30 SATRAA222 5 Batch 2 14 7350 5 Batch 2 6 7350 17 3 Batch 2 14 7350 3 Batch 1 14 6650 20 5 Batch 2 6 7350 3 Batch 2 6 7350 5 Batch 1 14 6650 3 Batch 2 6 6650 5 Batch 1 14 7350 24 3 Batch 2 6 7350 5 Batch 1 14 7350 26 3 Batch 2 6 6650 27 3 Batch 1 14 7350 28 5 Batch 2 6 6650 5 Batch 1 6 7350 5 Batch 2 6 6650 31 5 Batch 2 14 6650 32 3 Batch 2 14 6650 25588588558888848858255 20 Off 4542 4547 4538 4542.3 9 Off 4621 4643 4613 4625.7 30 On 4653 4670 4645 4656 25 On 4480 4486 4470 4478.7 16 20 Off 4221 4233 4217 4223.7 16 On 4620 4641 4619 4626.7 22 On 4455 4480 4466 4467 25 20 On 4255 4288 4243 4262 45 On 4490 4534 4523 4515.7 44 On 4514 4551 4540 4535 37 Off 4494 4503 4496 4497.7 9 20 Off 4293 4306 4302 4300.3 13 Off 4534 4545 4512 4530.3 33 20 On 4460 4457 4436 4451 24 On 4650 4688 4656 4664.7 38 20 Off 4231 4244 4230 4235 14 20 On 4225 4228 4208 4220.3 20 On 4381 4391 4376 4382.7 15 20 Off 4533 4521 4511 4521.7 22 20 On 4194 4230 4172 4198.7 58 Off 4666 4695 4672 4677.7 29 20 On 4180 4213 4197 4196.7 33 20 On 4465 4496 4463 4474.7 33 On 4653 4685 4665 4667.7 32 Off 4683 4712 4677 4690.7 35