Question

An$F-$curve has $\mathrm{df}=(8,19)$. What is the number of degrees of freedom for the

a. denominator?

b. numerator?

Short answer

(a) The number of degrees of freedom for the denominator is$19.$

(b) The number of degrees of freedom for the numerator is $8$.

Step-by-step solution

Part (a) Step 1: Given information

Given in the question that, We need to find the number of degrees of freedom for the numerator if an -curve has $\mathrm{df}=(8,19)$.

Part (a) Step 2: Explanation

Given: $df=(8,19)$on a $F$-curve.

Instead of having one degree of freedom, an F-curve has two.

Degrees of freedom for the numerator are the first number of degrees of freedom for an F-curve, while degrees of freedom for the denominator are the second.

Given the fact that$df=(8,19)$

Because the second number in the supplied df is $19$, the denominator's number of degrees of freedom is $19$.

Part (b) Step 1: Given information

Given in the question that, Given in the question that, We need to flnd the number of degrees of freedom for the denominator if an $F$-curve has $\mathrm{df}=(8,19)$.

Part (b) Step 2: Explanation

Given: $\mathrm{df}=(8,19)$is an F-curve.

Instead of having one degree of freedom, an F-curve has two.

Degrees of freedom for the numerator are the first number of degrees of freedom for an F-curve, while degrees of freedom for the denominator are the second.

Given the fact that$df=(8,19)$

Because the first integer in the provided df is $8$, the numerator's number of degrees of freedom is also $8$.