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In computing which of the following statistical tests are the degrees of freedom of the numerator…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET June 2024 Re-Exam (26.08.2024) Shift-I
In computing which of the following statistical tests are the degrees of freedom of the numerator and denominator used?
AZ
BChi-square
CT
DF ✓ Correct
Correct answer: (D) F — The F test uses numerator and denominator degrees of freedom, so that is the answer.
Explanation
The F test uses numerator and denominator degrees of freedom, so that is the answer.
The F statistic is a ratio of two variances.
The variance in the numerator has its own degrees of freedom.
The variance in the denominator has separate degrees of freedom.
So the F test uses two sets of degrees of freedom, numerator and denominator.
The Z, chi-square and t tests do not use this pair, so the answer is F.

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