Show that the asymptotic distribution for the CMH test for a set of \(q 2 \times 2\) tables is valid as long as the total size is large. More precisely, (Q_{CMH}\rightarrow_{d}N(0,1)\)if(\Sigma_{i=1}^{q} n^{(h)}\rightarrow\) \(\infty\).

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TABLE 3.3: A set of q 2 x 2 tables y 1 0 Total (1) (1) (1) 1 n11 112 nit (1) (1) (1) 0 121 N22 n2+ (1) Total n(1) Y X 1 0 Total (a) (q) (9) 1 11 n12 (a) (a) (a) 0 n21 122 12+ Total ni (g) (g) n(9)