嵌套法構(gòu)造超飽和試驗(yàn)設(shè)計(jì).pdf

1、南開(kāi)大學(xué)碩士學(xué)位論文嵌套法構(gòu)造超飽和試驗(yàn)設(shè)計(jì)姓名：蔡朝陽(yáng)申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計(jì)指導(dǎo)教師：劉民千20070501AbstractSupersaturateddesignisaldndoffractionalfactorialdesigninwhichthenumberofrubsisnotenoughtoestimateallthemaineffectsIthasrecentlyreceivedmuchinterestb

2、ecauseofitspotentialinfactorscreeningexperimentsConstructionmethodshavemainlyfocusedontwolevelandmultilevelcB8∞HowevermuchpracticalexperienceindicatesnIatmixed—levelsupersaturateddesignshavemorewidell嘲Thispaperproposes80

3、meconstructionmethodsofmixedlevelsupersaturateddesignsMostofthepreviousstudieshavefocusedOilbalanceddesigns，ieeachcolumnofthedesignhasequaloccurrencepropertyofthelevelsSatterthwaite(1959)proposedtheideaofsupersaturatedde

4、ignsinrandombalancedesignsBoothandc以(1962)firstexaminedthesedesignssystematicallyandproposedtheE(s2)criterionAfterthen，therehadbeenlittlestudyOllthesubjectofsupersaturateddesignsuntiltheappearanceoftheworkbyLin(1993)andW

5、u(1993)Sincethen，therehasbeenalargenumberofpapersonthissubjectMultilevelsupersaturateddesignswerefirstlystudiedbyYamadaandLin(1999)，whoproposedthe妒criteriontoevaluatedthreelevelsupersaturateddesignsThen，YamadaandMatsui(2

6、002)andYamadaandLin(2002)used妒tomJuatemixedlevelsupersaturateddesignsFang，LinandLiu(2003)proposedtheE(厶DD)criterionforcomparingmixedlevelsupersaturateddesignsandpresentedamethodforconstructingE(厶oD)optimalsupersaturatedd

7、esignsAndthenFang，Ge，Liu，andQin(2004)andKonkouvinosandMantas(2005)constructedmanyE(，ⅣoD)optimalmixedlevelsupersaturateddesignsLi，LiuandZhang(2004)derivedalowerboundof釅alongwiththestt伍cientandnecessal了conditionforachievin