In: Statistics and Probability
Suppose you are performing a test of independence for 2 categorical variables with alpha=0.05. The row variable has 4 categories and the column variable has 5 categories. What is the critical value?
Solution:
Given:
R = Number of rows = 4
C = Number of columns = 5
Level of significance =
We have to find the critical value to perform a test of independence for 2 categorical variables.
df = (R-1) X (C -1)
df = ( 4-1) X ( 5-1)
df = 3 X 4
df = 12
Look in Chi-square table for df = 12 and right tail area = 0.05
and find corresponding chi-square critical value.
Chi-square critical value = 21.026