Asked by Vilimira Delcheva on Mar 10, 2024
Verified
A chi-square test of independence is applied to a contingency table with 4 rows and 5 columns for two qualitative variables. The degrees of freedom for this test will be:
A) 20
B) 16
C) 15
D) 12
E) 9
A) 20
B) 16
C) 15
D) 12
E) 9
Degrees of Freedom
The number of independent values or quantities that can vary in the analysis of data without violating any constraints.
Contingency Table
A chart utilized in statistics to represent the association among multiple categorical variables.
- Compute the degrees of freedom for chi-square tests across different structures of contingency tables.
Verified Answer
PW
Pershawn Williams
Mar 10, 2024
Final Answer :
D
Explanation :
The degrees of freedom for a chi-square test of independence is calculated as (number of rows - 1) * (number of columns - 1). For a table with 4 rows and 5 columns, this is (4-1)*(5-1) = 3*4 = 12.
Learning Objectives
- Compute the degrees of freedom for chi-square tests across different structures of contingency tables.