粗大误差四种判别准则的比较和应用-熊艳艳

231Vol.23No.120102PHYSICALEXPERIMENTOFCOLLEGEFeb.2010:2009-10-26:1007-2934(2010)01-0066-03熊艳艳,吴先球(,510006):,,,。:;;;:G642.423:A,[1]。,。,,。,[2-3]。,[4]、[5-6]、[7-8][1]。,。,,,。11.1[4],99.73%,n10σ。Xi,X、viσ。Xi-X3σ,Xi,;Xi-X≤3σ,Xi,。,,。1.2[5-6](n100),95%,。:,G(a,n)G0,G1、Gn:G1=(X-X1)/σ,Gn=(Xn-X)/σ(1)G1≥GnG1G0,X1;Gn≥G1GnG0,Xn;G1G0GnG0,“”。,G1、GnG0,,。1.3[7-8]p=m/nPXi-XZcσ(mEcσ,P)。DOI:10.14139/j.cnki.cn22-1228.2010.01.008Xi,vi≥ZcσXi,Xi。,。1.4[1]。,a0.01.,R1、R2,nD(a,n):R1R2,R1D(a,n),X1,;R2R1,R2D(a,n),Xn;R1D(a,n)R2D(a,n),。22.1,,。,:X1,X2,X3……Xnx、viσ。i,vikσ(2),k。,[9]。1、n≤30,、3≤n≤250,1。2.2、:,,3,n=25,(a=0.01)3,n=185,3。。(1)3≤n25,(a=0.01)。,,,。,。X、viσ(a=0.01)。(2)25≤n≤185,(a=0.05)。(a=0.01),,,(a=0.05)。(3)n185,。,。,,:。,。,1。13≤n25,(a=0.01)25≤n≤185(a=0.05),n185673,,,,,,,。1、,,,。,。,。:[1].[J].,1997,11(1):54-64.[2],,.[J].,2007,34(7):26-27.[3].[J].,1995,15(1):19-22.[4].[M].:.2003:68-76.[5],,.[M].:,1989:66-68.[6],.[J].,2006:20-21.[7].[M].:,1979:42-46.[8],,,.Origin[J].:,2003,17(1):45-49.[9].[J].1998,2:41-42.TheGeneralizingApplicationofFourJudgingCriterionsforGrossErrorsXIONGYan-yan,WUXian-qiu(SouthChinaNormalUniversity,GuangdongGuangzhou510006)Abstract:Atpresent,therearekindsofwaystoremovetheabnormalnumbersindataprocessing.Butthereisnouniformstandardforit.Thisarticleanalyzesthefeaturesoffourwaysofjudginggrosserror,andgivingthesuggestionwhichcouldapplythesecriterionsthroughgeneralizingandintegrating.Keywords:Grosserror;abnormalvalue;removing;judgingcriterions68