Refer to the subject-specific modelfor binary matched pairs.
a. Show that exp(β) is a conditional odds ratio between observation and outcome. Explain the distinction between it and the odds ratio exp(β) for model.
b. Using the conditional distribution, show that = log(n21/n12).
c. For a random sample of n pairs, explain why
Similarily, state E(n12/n). Usipng their ratio for fixed n and as n →∞ explain why n21/n12 exp(β).
d. Show that the Mantel-Haenszel estimator of a common odds ratio in the 2×2×n form of the data simplifies to exp(= n21/n12 .
e. Use the delta method to show(10.10.for the SE of .
f. For a table of the form shown in Table 10.2, show that the CMH statistic is algebraically identical to the McNemar statistic (n21-n12)2/(n21 +n12)for tables of Table 10.1 type.
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