定量因子超飽和設計的最優(yōu)性準則.pdf

1、南開大學碩士研究生畢業(yè)(學位)論文姓名：年級：專業(yè)：研究方向：論文題目：導師：完成時間：黃超二零零三級概率論與數(shù)理統(tǒng)計試驗設計定量因子超飽和設計的最優(yōu)性準則劉民千教授二零零六年三月南開大學數(shù)學科學學院統(tǒng)計學系二零零六年五月Abstracthctorialdesigns缸ecommonlyusedinmos七scienti士icstudies1nsuchastudManlln出erof矗)(edlevels(settings)缸esele

2、ctedforeachfactor，andthensome1evelcombinatioIls缸echosentobetherunsinan唧erimentThefactorscanbenominalorquaⅡtitativeAnoⅡ1in出factorisafactorwhoselevelscanbeorderedfreelyForinstance，thegenderofahllmanOnthecontrast，whenrefert

3、oqu觚tita土ivefactors，theirlevelsmwaysreqllireaorder蹦(etemperatllreasafactor，ifwesetthelevelstobe100G，200C，300G，thele、relorderisfixedatonceDuetothedi髓rencebetWeenthese七wo1【iⅡdsoffactorsdi＆rentl【indsofanalvsismethodsarerequ

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6、dselectingdesignsNotthes鋤eascombinatorialisomorphism，geometrc甜isomorphismisoRenusedbydesignswithquantitativefactorschengandYe(2004)hasgivenacriteriontojudgethegoodnessofgeometircallynonisomorphicdesi目1sAsupersaturatedde8

7、ign(ssD)isadesigninwhichthedegreesoffreedomfor出1itsm咖efEectsexceedthetotalnumberofdistinctfactorial1evelcombina上ionsofthedesignThemajnreasonforconsideringSSDsisrun8izeeconomyBasedonthee丑ectsp盯sityprinciple，wecanutilateSS

8、DsforscreellingsigD埴cantfactorsAtpresent，a11e)dstingcriteriaforSSDsareinv甜iant而thlevelpermutationHowever，forSSDs而thquantitativefactors，kvelpermutation而Uresultindi＆rentdesigIl8Tllisarticleproposesanewcriterionforev胡uating

9、SSDsWithquantitativefactorsThecomp缸isonandan出ysisresllltsshoⅣitshighe伍ciencyindjscriminatinggeometircallynoIlisomorphicdesignsandtheadvantageincomputationKeyWbrds：Supersaturateddesign，quantitativefactor，geometricalisomor