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1、南開大學碩士學位論文AModellingTheyonGMCItsApplication姓名：周晶申請學位級別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計指導教師：張潤楚20080501AbstractAbstractForcomparingandassessingfractionalfactorialdesigns，Zhang，Li，ZhaoandAi(2007)proposedanewaliasingpattern，analiasedeffectnu
2、mberpattern(AENP)，andbasedontheAENPproposedanewcriterion，generalminimumlowerorderconfounding(hereafterGMCforshort)criterionThisnewtheoryhasbeenrapidlydevelopedinrecentTheGMCoitedonhasmanybetterproperties，comparingwithman
3、yothercri—terions。suchasmaximumresolution(BoxandHunter(1961))，MinimumAberrationcriterion(Franklin(1984))，MaximumClearEffectscriterion(WuandChen(1992))，MaximumEstimateCapacitycriterion(Sun(1993))，wecanlearnfromZLZA(2007)R
4、ecentlyZhangWeiandLi(2008)hasdevelopedthistheorytotheoptimalblockedfractionalfactorialdesignInthispaperwedevelopageneralapproachbasedonasoundstatisticalprincipleWeextendamodellingtheoryonGMCtothegeneralcri。teflonofaberra
5、tionThenbasedontherelationshipbetweenAENPandthenewwordlengthpattern，wegivethespecificalapplicationwhenfractionalfactorialdesignisblockedFFD，orFFDwhensome2factorinteractionsareimportantKeywordsGeneralminimumlowerorderconf
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