67
(of which there are 2 different elements), and let r be
any arbitrary element of
R = {r : r is a permutation of the integers l,2,...,n^}.
Now, under the null hypothesis,
(X
liA2i
,C.) 2 (x
f
2 i
iCi>
t f
and thus letting = min(X^,C^) and X2^ = mi n ( X2 ^ C ^ ) it
follows that
Xll)
for i=1,2,.
Now, let k
n^ and these pairs are also exchangeable.
}. be an operator such that
(X
li
X2 i )
if
k = 1
(X2f Xll>
if
O
II
Thus, under Hq and using the exchangeability property, it
f o 1lows
l(Xll- X21> (X12 X22>>-"'>