正交飽和效應(yīng)模型的統(tǒng)計分析.pdf

1、華東師范大學(xué)博士學(xué)位論文正交飽和效應(yīng)模型的統(tǒng)計分析姓名：張曉琴申請學(xué)位級別：博士專業(yè)：概率論與數(shù)理統(tǒng)計指導(dǎo)教師：茆詩松張應(yīng)山20070501AbstractThereafemanymaturedsolutionstothestatisticanalysisoftWO—levelorthogonalsaturateddesignsundertheassumptionof“ParetoPrinciple”Butthe“ParetoPrinc

2、iple”doesnotalwaysworksoitisnecessarytOfindsomeeffectivestatisticmethodstocommonsaturateddesignsTosolvetheproblem，thedissertationmakestwonewstatisticanalysismethodsThedissertationisdividedintosixchaptersChapterOneisanint

3、roductionItdescribesthecommonmodelofsaturateddesigns，andmakesabriefintroductiontothreetypicalstatisticmethodsofsaturateddesignsTheyatehalfnotnlalploLLenthmethodMar以methodThenitanalysistheirapplicationscopesandtheiradvant

4、agesanddisadvantagesChapterTwoisastudyoforthogonalsaturateddesignsthatsatisfynml(nisthelinemarkoforthogonalarraysortheexperimentrim；misthenumberoffactorsconsideredthelevelnumberjis易0=1，，m))Undernleassumptionof“ParetoPrin

5、ciple”isneglected，thestudiesprovideaneweffectivestatisticmethodstoorthogonalsaturateddesignsthatis。thestatisticanalysisismadewithnoncentralFstatistic，butthismethodCallnotbeusedintwolevelorthogonalsaturateddesignsChapterT

6、hreeisarepresentationofaasstatisticanalysismethodbasedontwolevelorthogonalsaturatextdesignsundertheassumptionof“ParetoPrinciple”isneglectedThemethodisnamedtheProcedureofSearchingZeroeffectsThemethodCansolveorthogonalsatu

7、rateddesigns謝tlllessthanmsignificantfactorsfmisthetotalnumbersoffactorseonsidered)ThenitisappliedtOorthogonalsaturateddesignssatisfiednm1thatismultilevelorthogonalsaturateddesignsChapterFourisanintroductionofanewexperime

8、ntdesignnamedorthogonalbalancedblockdesignsA≈(口)ThenitshowsbalancedblockorthogonalarraysGL，l(b1U1‰)byusingbalancedblockdesignsD暑xkm)0=1，，m，)anditsrelativepropertyChapterFiveisallintroductionofastatisticmodethatCanbeappli

9、edintheanalysisoftheresultsbyGL(b1111‰)ThenitisabouttheLeastSquaresEstimationofunknownparametersandtheirpropertyFurthermore，itintroducesthesumofsquaresdecompositionofthemodelChapterSixisastudyofsaturatedandunsaturatedcas