Asked by Jayleen Ailani on Jul 19, 2024
Verified
For an F distribution, the number of degrees of freedom for the numerator
A) must be larger than the number of degrees of freedom for the denominator.
B) must be smaller than the number of degrees of freedom for the denominator.
C) must be equal to the number of degrees of freedom for the denominator.
D) can be larger, smaller, or equal to the number of degrees of freedom for the denominator.
F Distribution
A probability distribution that arises frequently as the null distribution of a test statistic, especially in variance analysis.
Degrees of Freedom
The number of independent values or quantities that can vary in the calculation of a statistic.
Numerator
The top number of a fraction, showing the number of parts out of the denominator considered.
- Comprehend the notion of degrees of freedom within the framework of estimating variance and standard deviation.
Verified Answer
SD
Sahily D'OttoneJul 25, 2024
Final Answer :
D
Explanation :
The F distribution does not have a requirement for the relationship between the numerator and denominator degrees of freedom; they can be larger, smaller, or equal to each other.
Learning Objectives
- Comprehend the notion of degrees of freedom within the framework of estimating variance and standard deviation.