For K = 1, the generalized CMH correlation statistic equals formula XXXXXXXXXXWhen there truly is a trend, Section 2.5.3 noted that this test is more powerful than the X 2 and G 2 tests of Section...

For K = 1, the generalized CMH correlation statistic equals formula (2.10). When there truly is a trend, Section 2.5.3 noted that this test is more powerful than the X²
and G²
tests of Section 2.4.3. To illustrate, for Table 6.12 on job satisfaction and income, construct the marginal 4 × 4 table.

a. Show that the Pearson X²
= 11.5 with df = 9 (P = 0.24). Show that the correlation statistic with equally-spaced scores is M²
= 7.6 based on df = 1 (P = 0.006). Interpret.

b. Conduct an analysis with a model for which you would expect the test of the income effect also to be powerful.