对试卷信度计算公式的改进

jerrymouse1986
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2021-02-27

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X(:,36,;,272125,).,,.G449,,,,.(Kuder)(Richardson)(Cronbach).,19379r=nn-11-ni=1piqin/s2,n,pii,qi=1-pi,s2.,1951r=nn-11-ni=1s2i(/s2P,s2ii.,,.,,.,n,1,2,,n;m,1,2,m;xij(i=1,2,,m;j=1,2,,n)ij,.xj=1mmi=1xij,s2j=1m-1mi=1(xij-xj)2,(j=1,2,,n),eij=xij-xjsjN(0,1),(i=1,2,,m;j=1,2,,n).,(eij)mn()24319987JournalofQufuNormalUniversityVol.24No.3July1998X:19970815mn.12jn1x11x12x1jx1n2x21x22x2jx2nixi1xi2xijxinmxm1xm2xmjxmnei=1nnj=1eij,e=1mmi=1ei,(i=1,2,,m),Q21Q22Q21=nmi=1(ei-e)2,Q22=nj=1mi=1(eij-ei)2Q21Q22m-1m(n-1),FF=Q21/(m-1)Q22/m(n-1)=m(n-1)mQ21Q22Q21,Q22.,F1,F,.,:r=1-1/F,,FF(m-1,m(n-1)),=0.010.050.10,F(m-1,m(n-1))F0.01F0.05F0.10:FF0.01,;F0.01FF0.05,;F0.05FF0.01,;FF0.01,.:;,;.,.1..:,19872..:,199788()1998