作者rockefeller (rockefellerN N )
看板Statistics
标题[请益] some theorem proof
时间Thu Feb 16 09:16:14 2006
If the expected frequencies E are large enough in every cell
then under H0,
2*summation[Olog(O/E)]~summation[(O-E)^2/E]
Hint: Consider a second-order expension of logx around 1
logx~(x-1)-1/2(x-1)^2
Under H0 we expect O/E~1,so we apply the second order expansion on
logO/E and finish the algebra.
Could anyone help me complete the details?
Thanks a lot.
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