1、南開大學(xué)碩士學(xué)位論文近似正交設(shè)計的一個最優(yōu)準(zhǔn)則姓名：楊舟申請學(xué)位級別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計指導(dǎo)教師：劉民千20080501Abstract————————————————————————————————————————一一AbstractSupersaturateddesignisaformoffactorialdesigninwhichthedegreesoffreedomforauitsmaineffectsexceedthe

2、totalnumberofdistinctfactoriallevelcombinationsofthedesignThemainreasonforconsideringsupersaturateddesignisitsrunsizeeconomyBasedontheeffectsparsityprinciple，wecanutilizesupersaturateddesignsforscreensignificantfactorsTh

3、ereweremanyresearchesthatinvestigatedhowtoconstructtwo一1evelsupersaturateddesigns，suchasLin(1993，1995)，Nguyen(1996)，LiandWu(1997)，LiuandZhang(2000)，BufleLMead，EskridgeandGilmour(2001)TheE(s2)criterionisintroducedtoevalua

4、tedtwo—levelsupersaturateddesignAsfactorsinanexperimentmaybehavemorethantwolevelsordifferentlevelsIntheseandotherscenariosInulti1evelormixed—leveldesignsmaybeadoptedRecentresearchesonmixed1evelsupersaturateddesignsinclud

5、eYamadaandLin(1999，2002)，YarnadaandMatsui(2002)Fang，LinandLiu(2003)，F(xiàn)ang，Ge，LiuandQin(2004)，Li，LiuandZhang(2004)，KoukouvinosandMantas(2005)，Liu，F(xiàn)angandHickemell(2006)，andLiuandLin(2008)Thegoodnessofmixedlevelsupersaturat

6、eddesignscanbejudgedbyseveralcriteriaproposedfromdifferentviewpointsWeusuallyuseX2criterionproposedbyYamadaandLin(1999)andtheE(厶DD)criterionproposedbyFang，LiIlandLiu(2003)toevaluatemultilevelandmixed1evelsupersaturatedde

7、signsInthispaperGE(s2)criterionisemployedforcomparingsupersaturateddesignsfromtheviewpointoforthogonalityandalowerboundofGE(s2)whichCanserveasabenchmarkofdesignoptimalityisobtainedItisshownthattheexistingE(s21criterionis