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10.22 For a 2 X 2 table, derive cov( P+1, P1+ ), and show that var[vn (P+1 - P1+ )] equals (10.1). 10.1.1 Inference for Dependent Proportions One comparison of the marginal distributions uses 8 = 4 - 714. Let d = P+1 - P1+ = P2+ -P+2. From formula (1.3) for multinomial covariances, cov( p + 1, P, + ) = cov(p1 + P2, Pu + P12) simplifies to ("(1722 - 712721). Thus, var( vn d) = 1 + (1 - 1+) + +1(1 - 7+1) - 2(5 17122 - 7127121). (10.1)