A 3 x 5 table is considered to test the association of two variables having 3 and 5 categories respectively. A Chi-square test statistic with value 19.0 was obtained. What is the degrees of freedom associated with this test?
To determine the degrees of freedom associated with a Chi-square test, we need to use the formula:
df = (r - 1) x (c - 1),
where df is the degrees of freedom, r is the number of rows, and c is the number of columns.
In this case, we have a 3 x 5 table, so r = 3 and c = 5.
Substituting those values into the formula, we get:
df = (3 - 1) x (5 - 1) = 2 x 4 = 8.
Therefore, the degrees of freedom associated with this test is 8.
To determine the degrees of freedom associated with a Chi-square test, we need to know the dimensions of the table.
In this case, we have a 3 x 5 table, which means there are 3 rows and 5 columns.
To calculate the degrees of freedom, we need to subtract 1 from each dimension and then multiply the results.
In this case, the degrees of freedom is (3-1) x (5-1) = 2 x 4 = 8.
Therefore, the degrees of freedom associated with this Chi-square test is 8.