多響應(yīng)線性模型的復(fù)合最優(yōu)設(shè)計.pdf

1、上海師范大學碩士學位論文多響應(yīng)線性模型的復(fù)合最優(yōu)設(shè)計姓名：顧原申請學位級別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計指導教師：岳榮先20100401AbstractExperimentaldesignisatechniqueforarrangingexperimentseconomicallyandscientlfi。callv，basedontlletheoriesofprobabilityandstatistics，whichhasextensi

2、veapplicationinindustryproducingandtheengineeringdesignOptimaldesignisanimportantbranchoftheexpen。mentaldesignItisdesignedasapilotforthetestpurpose，throughestablishingtheproperdesigncriteriaandobtainingtheoptimalsolution

3、accordingtothedesigncriteriaInpractice，themodelsoftenhavemorethanoneresponseSimultaneouslyiffacedwithmultipleregressionmodelsarelikelytobeadopted，inordertOmakethesemodelsfittedwithhighefficiencywecanusethecompounddesignt

4、ooptimizethedesignThestudyaboutabovetwokindsofoptimaldesignisobtainedmoreattention，butacombinationoftwodesignresearchdevelopsrelativelyslowTherefore，thisarticlemainlystudiesD—andAoptimalcriterionofthecompoundmultirespons

5、elinearmodelOptimalcriteriaandequivalencetheoremwerees。tablishedWiththecovariancematrixknownornotknown，thearticleproposednewiterativealgorithmrespectivelyandfindtheoptimaldesignthroughsimulationOntheresearchoftheoptimald

6、esignbasedonDoptimalcriterion，ageneralmodelISdeftnedWiththecovariancematrixisknown，weconstructthecompoundD—optimalcriteriaandequivalencetheoremInasimplemodel，derivedtheoptimalsolution；Ifdisplaysolutioncannotbefoundweuseg

7、iveniterativealgorithmWegett11eanswerthroughMatlab0ntlleresearchoftheoptimaldesignbasedonAoptimalcriterion，theequivalencetheoremiscOnstfllctedNomatterthecovariancematrixisknownornot，theoptimaldesignofcom。poundstructuresi

8、sgiventhroughiterativealgorithmInbothcases，numericMexamplesalegivenrespectivelytOverifythefeasibilityofiterativealgorithmsConsequentlythepaperhasdeepresearchesonseveralareasofcompounddesignsformultiresponselinearmodelsMo