包含純凈效應(yīng)的分區(qū)組部分因析設(shè)計(jì).pdf

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?！痵in2m呻FFDsofresolutionIIIandIVandpro譏dedmethodstoconstructsuchdesignsIntheseconstructeddesiglls，somecanevencontain

7、themaKirrmmnumberofclear2矗’sInthisthesisweextendtheresultsofchenandHedayat(1998)andTangetal_(2002)totheblockedFFDsInchapter1tochapter3，thecleaTeffectconceptisdiscussedfortheblockedfractionalfactorialdesignsFirst，sometheo

8、reticalresultsonthee]dsteⅡceofclearmainenbcts，blocke丹毛ctsand七吣factoriⅡteractionsf2矗’s)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