1、210-27Phosphoric Acid89-11011121314-101Yield-22NitrogenSurface Plot of Yield8.2 9.2 10.2 11.2 12.2 13.2 10-110-1NitrogenPhosphoric AcidContour Plot of Yieldkk22110XXXYjijiijk1i2iiik1iii0XXXXY403515039.5X40.541.5155Y30160X21908517076.5X177.578.579.580.5175Y80180X2UncodedCodedYieldX1X2X1*X2*Y30150-1-1
2、39.3401501-140.930160-1140.0401601141.5351550040.3351550040.5351550040.7351550040.2351550040.6Ignore“time-temperature”interaction,i.e.analyze as a First-Order Model.21x325.0 x775.0425.40y The First-Order Model is valid.403515039.5Time40.541.5155Yield30160Temperature21x325.0 x775.0425.40y eTemperatur
3、325.0Time775.0425.40YieldStdOrderABC1-1-1-12-1-103-1-114-10-15-1006-1017-11-18-1109-111100-1-1110-10120-111300-114000150011601-11701018011191-1-1201-10211-112210-123100241012511-12611027111(2)(3)(1)(4)RunABC1-1-1021-103-11041105-10-1610-17-101810190-1-11001-1110-1112011130001400015000(2)(3)(1)RunABC
4、1-1-1-121-1-13-11-1411-15-1-1161-117-11181119-1.68200101.68200110-1.68201201.68201300-1.68214001.682150001600017000180001900020000=nfwhere nf is number of runsin factorial portion of CCD(8 runs)(6+6 runs)(20 runs)(2)(3)(1)Numbers in parenthesis =the number of replicated center points.For CCD,k21n4nf
5、cScenario3k FactorialBox-BehnkenCCDk=3with no interactions 27(1)=2815(3)=1813(3)=16k=4with 3 2-factor interactions 81(1)=8227(3)=3020(4)=24k=5with 1 2-factor interaction 243(1)=24446(6)=5220(2)=22k=5with all 2-factor interactions 243(1)=24446(6)=5233(7)=40k=7with 7 2-factor interactions2187(1)=218862(6)=6833(3)=36Source:Understanding Industrial Designed Experiments Stephen R Schmidt&Robert G Launsby18017573.574.5Temperature8075.576.577.578.579.580.58517090YieldTimeSurface Plot for Yield75 76 77 78 79 80 908580180175170TimeTemperatureContour Plot for Yield
