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1、试验设计简介Pioneer–Ronald.A.FisherIntroducethreebasicprinciples,analysisofvarianceFrankYatestheoryof analysisofvarianceYates'salgorithmbalancedincomplete blockdesignDavidJohnFinneybecameassistantto DrFrankYates atRothamstedExperimentalStation in1939R.C.BoseCombinatorialDesignsGeorgeE.P.BoxInd
2、ustrialEra:processmodelling,optimization,responsesurfacemethodology.Essentially,allmodelsarewrong,butsomeareuseful.------G.E.P.BoxG.TaguchiQualityimprovement,RobustparameterdesignsIntroductiontoExperimentalDesignStatisticalModelsReviewofRegressionAnalysisSomeexamplesHowtoknowtheweightsby
3、balance?ABDCMethod1:Takethemeanofthe4measuresforeachobject.ABCDy11111-11-111-1-11-1-1120.28.09.71.9Method2:Combinatorialmethod16times4timesoperatorABCD59.860.060.860.859.859.860.260.459.960.060.760.760.560.960.461.060.860.660.560.5Sheldon(1960)Goal:Isthereanydifferencebetweentheoperators
4、?One-wayLayoutpulphandsheetsoperator化工试验在某化工产品的合成工艺中,考虑反应温度(A)、压力(B)和催化剂用量(C),并选择了试验范围分别为:温度(A):80oC~120oC;压力(B):4~6大气压;催化剂用量(C):0.5%~1.5%;我们需要选择这三个因素的最佳组合,以达到高产的目的。许多产品都是混合多种成分在一起形成的。面粉水糖蔬菜汁椰子汁盐发酵粉乳酸钙咖啡粉香料色素面包怎样确定各种成分的比例呢?经验试验混料试验加工面包试验环保试验在水及食物中的某些化学元素,吃多了对人体是有害的,为了研究这些元素对人体健康的影响。Cadmi
5、um(Cd)镉Copper(Cu)铜Zinc(ZN)锌Nickel(Ni)镍Chromium(Cr)铬Lead(Pb)铅因素0~200~200~200~200~200~200.01,0.05,0.1,0.2,0.4,0.8,1,2,4,5,8,10,12,14,16,18,200.01,0.05,0.1,0.2,0.4,0.8,1,2,4,5,8,10,12,14,16,18,200.01,0.05,0.1,0.2,0.4,0.8,1,2,4,5,8,10,12,14,16,18,200.01,0.05,0.1,0.2,0.4,0.8,1,2,4,5,8,10,12,1
6、4,16,18,200.01,0.05,0.1,0.2,0.4,0.8,1,2,4,5,8,10,12,14,16,18,200.01,0.05,0.1,0.2,0.4,0.8,1,2,4,5,8,10,12,14,16,18,20范围和水平24,137,569TheUsefulnessofExperimentalDesignExperimentsareperformedbyinvestigatorsinvirtuallyallfieldsofinquiry,usuallytodiscoversomethingaboutaparticularprocessorsyste
7、m.Awelldesignedexperimentisanefficientmethodoflearningabouttheworld(AtkinsonandDonev,1992).一个精心设计的试验是认识世界的有效方法.Makeityourmottodayandnight.Experiment!Anditwillleadyoutothelight.Experiment!TwoProblems:Design:HowtochooseasetofexperimentalpointsonthedomainModeling:Howtofindan