Solution Found!
If Y is a random variable that has an F distribution with
Chapter 7, Problem 29E(choose chapter or problem)
QUESTION:
Problem 29E
If Y is a random variable that has an F distribution with ν1 numerator and ν2 denominator degrees of freedom, show that U = 1/Y has an F distribution with ν2 numerator and ν1 denominator degrees of freedom.
Questions & Answers
QUESTION:
Problem 29E
If Y is a random variable that has an F distribution with ν1 numerator and ν2 denominator degrees of freedom, show that U = 1/Y has an F distribution with ν2 numerator and ν1 denominator degrees of freedom.
ANSWER:
Step 1 of 2
Let and follows chi-square distribution with degree of freedom respectively.
The F-ratio is defined as: