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I am reading ISLP chapter 3.2 about multiple linear regressions. F-statistic seems like to be a statistic calculated per sample. But also we know that it is just and estimation for the stat on whole population.

In that case, I wanted to verify this thing about F-distribution.

  • Is F-distribution a sampling distribution of something over all possible sampling in given population ?
  • Or is F-distribution a sampling distribution of something over all possible populations with?

I am not looking for a proof. Just some clarification.

amineh
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