包含純凈效應的混水平部分因析裂區(qū)設計.pdf

1、曲阜師范大學碩士學位論文包含純凈效應的混水平部分因析裂區(qū)設計姓名：陳詳菲申請學位級別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計指導教師：呂玉華趙勝利20090301一一一墊皇塹薹盔堂堡圭堂垡迨塞一●__—’_——____、______●___—I__●________‘_。_?！??！！Ｒ?。。。。—‘——_————‘——一‘—?！?。—‘‘?！。_。。。?！?。。?！??！瘛。?！??！籑ixedlevelf

2、ractionalfactorialsplitplotdesignscontainingcleareffectsAbstractFractionalfactorial(FF)designs8recommonly11s甜forfactorialexperimentsCleareffectsisapopularoptimalitycriterionforselectingdesignsInfactorialinvestigationsesp

3、eciallythoseinvolvingphysicalexperiments，there’areoftenfactorswithfourlevelsThenmixed—leveldesignsaxeusedintheexperimentsSuchdesignscanbeconstructedfromtwoleveldesignsbythemethodofreplacement，whichwasfirstformaHyintroduc

4、edbyAddelman(1962)anddevelopedbyWu(1989)，Wueta1(1992)，Hedayateta1(1992)andZhangandShao(2001)Adesignwith訖twolevelfactorsandmfo：levelfactorsisusuallydenotedby2”4”ZhaoandZhang(2008)gaveacompleteclassificationoftheexistenceo

5、fcleartwofactorinteractioncomponents(2FIC)of2n4仇designs，Whenthelevelsofsomeofthefactorsaredi伍culttobechangedorcontrolled，itmaybeimpracticalorevenimpossibletoperformtheexperimentaln】nsofFFdesignsinacompletelyrandomorderTh

6、ismotivatesustousefractionalfactorialsplit—plot(FFSP)designstomeetthespecialdemandsFFSPdesignshavereceivedmuchattentioninrecentyearsIftherearebothtwoandfourlevelfactorsinanexperimentanditisdi伍culttochangeorcontroltheleve

7、lsofsomefactomasplitplot2(nln2)一(七lb)4m’designcanbeusedThispaperconsiderstheregularsplitplot2(hin2)一(詹l詹2)4mdesignsItconsistsoftwochapters。Chapter1introducesthebasicdefinitionsrelatedtoFFdesign，optimalitycriterionandfrac

8、tionalfactionalsplitplotdesignChapter2givesacompleteclassficationofthe2(件1斗們)一似lkD4mdesignscontainingvariouscleareffectsSection21givesasimplesummaryontheliteratureSection22introducesthenotationsanddefinitionsoftwo“typeso

9、fmixedlovelfractionalfactorialsplitplotdesigns，2(n1徹)一(hk2)4：designsand2(nl耽)一(七lh)40designsacco：dingtothedifferenceofthefourlevelfactorinWPsectionorinSPsection，andgivestheconceptofthreetypesoftwofactorinteractioncompone