For an F distribution with parameters $v _ { 1 } \text { and } v _ { 2 } , \text { where } v _ { 1 }$ is the number of numerator degrees of freedom, and $v _ { 2 }$ is the number of denominator degrees of freedom, which of the following statements are true?
A) $v _ { 1 } \text { must be larger than } v _ { 2 }$
B) $v _ { 1 } \text { must be smaller than } v _ { 2 }$
C) $v _ { 1 } \text { must equal } v _ { 2 }$
D) $v _ { 1 }$
Can be larger than, smaller than, or equal to $v _ { 2 }$
E) None of the above answers are true.

Question

Quizplus · Accepted Answer

The F distribution does not require $v_1$ to be larger, smaller, or equal to $v_2$. The number of degrees of freedom for the numerator ($v_1$) and the denominator ($v_2$) can vary independently, allowing $v_1$ to be larger than, smaller than, or equal to $v_2$.

For an F Distribution with Parameters v1 and v2, where v1v _ { 1 } \text { and } v _ { 2 } , \text { where } v _ { 1 }v1​ and v2​, where v1​

For an F Distribution with Parameters $v _ { 1 } \text { and } v _ { 2 } , \text { where } v _ { 1 }$