Asked by Holly Phillip on Jun 30, 2024
Verified
A contingency table test with 4 rows and 15 degrees of freedom implies:
A) 5 columns
B) 6 columns
C) 9 columns
D) 11 columns
E) 60 columns
Degrees of Freedom
The number of independent values or quantities which can be assigned to a statistical distribution or to the final calculation of a statistic without violating any constraints.
Contingency Table
A table often used in statistics to display the frequency distribution of variables, helping to analyze the relationship between them.
- Detect mistakes in utilizing chi-square tests and rectify calculations of degrees of freedom.
Verified Answer
CM
Charles MatthewJun 30, 2024
Final Answer :
B
Explanation :
For a contingency table test, the number of columns is equal to the number of categories being compared in both the row and column variables. Degrees of freedom (df) are calculated by (number of rows - 1) x (number of columns - 1). Therefore, (df + 1) = number of cells in the table. Solving this equation for the number of columns, we get: number of columns = (df + 1) / number of rows - 1. Plugging in the values given in the question, we get: number of columns = (15 + 1) / 4 - 1 = 3.5. Since the number of columns has to be a whole number, the closest option is 6, making B the correct answer.
Learning Objectives
- Detect mistakes in utilizing chi-square tests and rectify calculations of degrees of freedom.