Purpose
To provide a method of listing the observed and expected frequency of occurrence of classification variables in a matrix and place them in a contingency table.
Anatomy
Reference: Black Book
Terminology
A. Variable A.
B. Variable B.
C. k – Number of columns (equal to number of levels of Variable A).
D. r – Number of rows (equal to number of levels of Variable B).
E. fij – observed frequency of joint occurrence of variables.
F. Fij – expected frequency of joint occurrence of variables.
G. Li – Total of all occurrences of Bi.
H. Cj – Total of all occurrences of Aj.
I. n – Total number of observations.
Major Considerations
The population must be sampled at random.
Application Cookbook
1. Cross tabulate the variables and insert the observed frequencies into the contingency table.
2. From the observed values, calculate the expected frequencies and insert into the table. i.e. Fij = Cj Li
n
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