Understanding the Concepts and Skills Give correct answer for in using F-procedures to make inferences for two population standard deviations, why should the distributions (one for each population) of the variable under consideration be normally distributed or nearly so?

Rivka Thorpe

Rivka Thorpe

Answered question

2020-10-21

Understanding the Concepts and Skills Give correct answer for in using F-procedures to make inferences for two population standard deviations, why should the distributions (one for each population) of the variable under consideration be normally distributed or nearly so?

Answer & Explanation

Szeteib

Szeteib

Skilled2020-10-22Added 102 answers

By the definition of F — distribution we have F=XV1YV2 Where X&Y are two independent chi-square variates with V1 and V2 degrees of freedom Now for a χ2 - variate is a very necessary to assume that the variable under consideration is a normal variate because the χ2 -variate is defined as the square of standard normal variate. Therefore for the F-procedures to make inferences for two population standard deviations. The distributions (one for each population) of the variable under consideration is normally distributed or nearly so.

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