基于数理统计的试卷质量分析方法

:1004-4736(2007)01-0078-03,,(,430074):,.,,,.:;;;:O212.1:A:2006-09-08:(1949-),,,.:.0,,,.,.,;,,,,..,,2005,[1].12000,,131,100,61.69,19.03.,,,,,,.PearsonV2[2]H0:F(x)=N(61.69,19.03).1.1V2Table1V2Testtable152930394049505960697079808990100ni9915223023158npi5.2810.4318.8425.3126.9721.1613.146.01ni-npi3.72-1.43-3.84-3.313.031.841.861.99(ni-npi)2npi2.620.200.780.430.340.160.260.661,ni,pi[3,4],8i=1(ni-npi)2npi=5.45,A=0.05,5,V20.05(5)5.45,,.1.2,:1Fig.1Frequencyhistogram291Vol.29No.1200701J.WuhanInst.Tech.Jan.2007a.n,100,nQ1,Q2,,Qn:100=ni=1Qib.N,xijij,i=1,2,,N,j=1,2,,n,:xi=nj=1xij,i=1,2,,N.j:Xvj=1NNi=1xij,S2j=1NNi=1(xij-Xvj)2.c.Sij=xij-XvjSj,j=1,2,,nij,,,,.aj,bjj.4[5].::.jDjDj=1-XvjQj,j=1,2,,n.D:D=1100nj=1QjDj.D0.2,D0.5;D.:.,,,,,,:Q=(Qij)nn,,Qij=1NNk=1(xkj-Xvi)(xkj-Xvj)öSiSj.,,,.Qij0.2,i,j=1,2,,n.:.,.jDjDj=Hj-Ljaj-bj,j=1,2,,n.Hj,Ljj.D:D=1100nj=1QjDj.,,,0.4,0.20.39,0.2.::B=nn-11-nj=1S2jS2,S2=1NNi=1(xi-Xv)2,Xv=1NNi=1xi.,,,,.,0.5.312,16,16,6,6,6,6,6,8,8,8,7,7,131(,):a.,,.2.b..3.2Table2Degreeofdifficulty,divisionandreliance0.320.180.520.240.480.190.160.510.640.340.500.780.380.390.310.490.520.530.390.270.570.490.560.460.480.440.63971:3Table3Correlationcoefficientmatrix10.32110.2420.19610.3240.1800.18910.2940.2300.3790.22810.3330.1550.2330.5430.31610.0900.2180.2180.1210.2500.18110.2370.1420.2750.4030.2380.2830.07010.1820.1900.2650.3210.3280.2270.0980.34510.2820.2290.3480.5570.3030.4130.2080.4160.34910.3430.2230.2640.3790.2300.3340.0920.2080.3340.29410.2160.2110.2000.2000.1740.1700.2810.2730.3160.3660.25012,,,,.,,,,,,.,.0.38,;;,0.63,.3,0.2,.,,,,.,,,.:[1].[J].,2001,22(4):13-16.[2],.[M].:,2005.[3].[J].,2005,(6):21-22.[4].[J].,2002,(4):90-91.[5].[J].,1988,(1):22-24.AnalysismethodonthequalityofexaminationpaperbasedonstatisticsXIONGDe-zhi,LIUWei-kai,NINGXiao-qing(SchoolofScience,WuhanInstituteofTechnology,Wuhan430074,China)Abstract:Thequalityanalysisofexaminationpaperistheimportantpartofeducationalstatistics,anditmayreflectateachersteachingqualityreally.Basedonstatistics,thequalityanalysisiscarriedoutforexaminationpaperofhighermathematic,andquantitycriteriafortheexaminationpaperarepresented.Themethodissimple,reliableandapplicabletoassessexaminationpaperquality.Itisgoodforestablishingpaper.Keywords:educationalmeasurement;examinationpaperquality;statistics;quantityanalysis:0829