Refer to the subject-specific modelfor binary matched pairs.

With S(w) as the spectral density of the excitation stress at x = 0. show that the mean square…
February 3, 2022
A marriage counselor is interested in the proportion the clients she counsels that stay married….
February 3, 2022

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.

Rating of Performance of Prime Minister

First

Second Survey

Total

Survey

Approve Disapprove

Approve

794

150

944

Disapprove

86

570

656

Total

880

720

1600

 
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