1、南開大學(xué)碩士研究生畢業(yè)(學(xué)位)論文姓名;年級(jí):專業(yè):研究方向:論文題目:導(dǎo)師;完成時(shí)間:陳寶江二零零二級(jí)概率論與數(shù)理統(tǒng)計(jì)試驗(yàn)設(shè)計(jì)包含純凈效應(yīng)的分區(qū)組部分因析設(shè)計(jì)張潤(rùn)楚教授二零零五年三月南開大學(xué)數(shù)學(xué)科學(xué)學(xué)院統(tǒng)計(jì)學(xué)系二零零五年五月露筆毽囂墨霹鐾奶全爻公最12”AbstractExperimenta|designsarewidelyusedinscientmcirⅣestigationofindustry,agriculture,biolog
2、y’medicine,communication,computerscienceandsooninrecentyearsRegulartwolevel壬ractionalfactorialdesigns(FFDs)arethemostcommonlyllsedde_signsforexperiment8Blockingiscommonlyusedindesignofexperimentsteducesvstema七icvariation
3、aⅡdinhanceDrecisionofeff毛ctestimation~【inimumaberrationandclearcriteriaaretwoimportantcriteriaforseIectingoptimalfractionalfactor—ialdesiEns,inbothunblockedandblockedcasesThisthesism越nlyconcentratesonblocI(edfraction8lfa
4、ctorialdesignswithcleareH色ctsandtheconnectionofclear,minimumaberrationandbkckedminiInumaberrationcriteriaIftheinteractionsbetweentreatmentfactorsandblockfActorsandthree—factororhighe卜orderinteractioⅡsbeh孵entreatmen土facto
5、rsarene91igible、alltheclearefkctsareestimableinblockedFFDsSoitisimportanttodiscussthedesigninvolvingchemaxiⅡmmnumberofcleare髓ctsChenandHed鰣ac(19981discussedthe2m—pFFDswithresOlutionIIIOrIVcontainingclear2丘’sandgave8compl
6、etec18ssmcationoftheexistenceofcle盯e胎ctsTangetal_(2002)gavethelo帆randupperboundsonthem刪mumnumberofclear2矗’sin2m呻FFDsofresolutionIIIandIVandpro譏dedmethodstoconstructsuchdesignsIntheseconstructeddesiglls,somecanevencontain
7、themaKirrmmnumberofclear2?!痵InthisthesisweextendtheresultsofchenandHedayat(1998)andTangetal_(2002)totheblockedFFDsInchapter1tochapter3,thecleaTeffectconceptisdiscussedfortheblockedfractionalfactorialdesignsFirst,sometheo
8、reticalresultsonthee]dsteⅡceofclearmainenbcts,blocke丹毛ctsand七吣factoriⅡteractionsf2?!痵)inregular2m—p:2‘designswithres01utionIIIIV—andIVareobtained,wherea2m一9:2‘designmeansa2m—pdesignin2‘blocksAndthen,theblockeddesig皿scont
9、ainingclear2?!痵aremainlvconsideredandtheupperandlowerboundsonthemaximumnumberofclear2丘’sin2m一9:2‘desi只nswichres01utionIIIandIV—arederi、fedThelo、verboundsareachievedthroughconstructingspeci丘cdesignsSometablesarea|sotabula
10、tedforcomparingtheboundswithtruevalues,whichshowthatmanydesi肛sconstructedbyourmethodscontainthem捌mumnumberofclear2丘1sInchapter4,we丘rstshowthatundersomegivenconditions,ablockeddesignD=(Do,B)h船blockedminimumaberrationisequ