Table 4.12 refers to ratings of agricultural extension agents in North Carolina. In each of five districts, agents were classified by their race and by whether they qualified for a merit pay increase. a. Conduct the Cochran–Mantel–Haenszel test of the hypothesis that the merit pay decision is independent of race, conditional on the district. Interpret. b. Show how you could alternatively test the hypothesis in (a) using a test about a parameter in a logistic regression model. c. What information can you get from a model-based analysis that you do not get from the CMH test?
Table 4.12 refers to ratings of agricultural extension agents in North Carolina. In each of five districts, agents were classified by their race and by whether they qualified for a merit pay increase. a. Conduct the Cochran–Mantel–Haenszel test of the hypothesis that the merit pay decision is independent of race, conditional on the district. Interpret. b. Show how you could alternatively test the hypothesis in (a) using a test about a parameter in a logistic regression model. c. What information can you get from a model-based analysis that you do not get from the CMH test?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Table 4.12 refers to ratings of agricultural extension agents in North Carolina. In each of five districts, agents were classified by their race and by whether they qualified for a merit pay increase.
a. Conduct the Cochran–Mantel–Haenszel test of the hypothesis that the merit pay decision is independent of race, conditional on the district. Interpret.
b. Show how you could alternatively test the hypothesis in (a) using a test about a parameter in a logistic regression model.
c. What information can you get from a model-based analysis that you do not get from the CMH test?
Transcribed Image Text:Table 4.12. Data for Problem 4.15 on Merit Pay and Race
Blacks, Merit Pay
Whites, Merit Pay
No
No
9
3
4
7
4
District
NC
NE
NW
SE
SW
Yes
24
10
5
16
7
Yes
47
45
57
54
59
12
8
9
10
12
Source: J. Gastwirth, Statistical Reasoning in Law and Public Policy, Vol. 1,
1988, p. 268.
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