我在paper上看到它說,McNemar test is a score statistic.
所以我想它應該是可以推導的..
我找到某篇paper上有提到,只不過有點疑問
observations
_____________________________
standard trt
new trt + - sum
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+ x11 x10 x1+
- x01 x00 x0+
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sum x+1 x+0 n
probability model
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standard trt
new trt + - sum
_____________________________
+ p11 p10 p1
- p01 p00 q1
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sum p0 q0 1
Define δ= p1-p0 = p10-p01
we can reparameterize the multinomial probabilities as
p10 = p01+δ and p11+p00 = 1-2*p01-δ
The log likelihood can expressed as
L = x10*ln(p01+δ) + x01*ln(p01) + (x00+x11)*ln(1-2p01-δ)
Question:
如果上面的log likelihood 我把它整理回去會變成
L = x10*ln(10) + x01*ln(p01) + (x00+x11)*ln(p00+p11)
為什麼不是 L = x10*ln(p10) + x01*ln(p01) + x00*ln(p00) + x11*ln(p11) ??
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這個問題困擾我很久了
謝謝囉..
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