# MPA 505 Project 4 Analytical Methods

Question 1: Contingency tables allow us to
examine data from two categorical variables (at the nominal or ordinal levels of
measurement) and in some cases provide us with useful descriptive statistics to
examine the intersections of those data.

However,
we are also interested in relationships, and a number of measures of
association are available to us aid in our understanding of relationships. With
that in mind, discuss the calculation of the chi-square test statistic, and
note (generally) what the results of a chi-square test tell us about the
relationship.

Next,
provide a brief explanation of the concept of proportional reduction in error
(PRE), and outline what we can learn from the test statistic for PRE tests like
gamma, Kendall’s tau-b, and tau-c. Finally, provide an interpretation of the
values of the chi-square and PRE measures of association and significance levels
in Table 1.1 below. (Note: In your
interpretation, you can assume we’re using the same variable names from earlier
group projects: patient perception of
general health
and satisfaction with
health care services
… you’re also free to create your own plausible
relationship for the purposes of the discussion. Bonus points for humor.).

Table 1.1. Calculated Measures of
Association

Test

Value

Significance

Chi-square

42.45

0.000

gamma

0.502

0.000

Kendall’s
tau-b

0.323

0.000

Kendall’s
tau-c

0.249

0.000

Instructions:

You’re
free to use the course textbooks and any other scholarly materials you can find
(for example, articles in peer-reviewed journals) to craft thoughtful and
complete answers. While you’re free to use your course textbooks and class
notes.

A
complete response for each question will be between 1 and 1.5 pages long (of
normal text, 12 point font, double-spaced, 1 inch margins). All text should
have appropriate support, and should include in-text citations and a reference
list (formatted using APA style guidelines).