【机差自由度估算法】.pdf
ERRATA Page.line for read Productmoments Product-moments E,Si=1i i=1 thesethreestatistics these three statistics(n-1)(n-h+1)(n-1)(n-h+1) [(x-x)](x-x)[(e-.] [(e-,) x.x.Where where Ee[S(x-x.Ee[S(xs-x.]2 Eif E-mn involued involved 勘 表 真 行 正 E.gE E.-e
and thecombinedproduct-momentofr,r.rathorderas:Cr1,r2.,rA=n(n-1)(n-h+1)i=1 On simple sampling and in the simplest case theexpectations ofc,C and C-viz.,Ec,,Ecand Ec,;-are the moments of 1st and 2nd order and the product-moment of1,1thorder respectively,that is/,μand,all being measured frompo
(VIII) n-1 n Em=E(e-∈(e-∈.= whereEmeans expectationof the statistics onright sideandoisvariance ofnormalpopulation.Owing to the theorems above we may add the fourth properties of normalerror:(iv)Thenormalerrorsareindependentofeachother sothat Eee=0.