Why is the statistic t=r sqrt((n-2)/(1-r ^2)) approx t (n-2)?

Madison Costa

Madison Costa

Answered question

2022-11-04

Why is the statistic t = r n 2 1 r 2 t ( n 2 )?

Answer & Explanation

Envetenib8ne

Envetenib8ne

Beginner2022-11-05Added 17 answers

Testing the null hypothesis H 0 : β 1 = 0, the statistic
T = β ^ 1 0 S S x x
possesses a t distribution with n 2 degrees of freedom if the null hypothesis is true. Show that the equation for T can also be written as
T = r n 2 1 r 2

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