Question

3. Refer to the scenario. Which of the following would be an ideal measure of association to calculate if the researcher re-did the study with 100 cities, and decided to measure size of city with five categories (very large, large, medium, small, very small) rather than three?

a. phi b. Cramer’s V c. Kendall’s tau-c d. Kendall’s tau-b

Answer 1

phi and Cramer’s V are measures of association of nominal variables.

Here size of city with five categories (very large, large, medium, small, very small) is an ordinal variable.

Kendall's Tau-C is usually used for rectangular tables. Kendall's Tau-B is usually used for square tables.

Since the levels of size the city and mayor’s assessment is different, it will be rectangular table (3 x 5).

So, the measures of asscoiation is,

c. Kendall’s tau-c

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