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

Question

Quizplus · Accepted Answer

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.

A Contingency Table Test with 4 Rows and 15 Degrees