Question

In chi-square test using r \(\times\) c contingency table, the degree of freedom will be:

• A. (r-1) (c-1)
• B. (r-1) + (c-1)
• C. (r-1) - (c-1)
• D. r+c-2

Hint:

Chi-square df = (r-1)(c-1).
Used for contingency tables.
Correct df is essential for accuracy.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Degrees of freedom are important in chi-square tests.
They depend on the dimensions of the table.

Step 2: Key Formula or Approach:
df = (Number of rows - 1) \(\times\) (Number of columns - 1).

Step 3: Detailed Explanation:
For a contingency table with r rows and c columns:
df = (r - 1) \(\times\) (c - 1).
This is the standard formula.
Other options are incorrect.
Thus, df = (r-1)(c-1).

Step 4: Final Answer:
The degree of freedom is (r-1)(c-1).
Hence, the correct option is (A).