Probability: Difference between revisions

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===F Distribution===
===F Distribution===
Too many. See [https://en.wikipedia.org/wiki/F-distribution the Wikipedia Page].
Too many to list. See [[Wikipedia:F-distribution]].
Most important are Chi-sq and T distribution


Most important are Chi-sq and T distribution:
* If <math>X \sim \chi^2_{d1}</math> and <math>Y \sim \chi^2_{d2}</math> then <math>\frac{X/d1}{Y/d2} \sim F(d1,d2)</math>
* If <math>X \sim \chi^2_{d1}</math> and <math>Y \sim \chi^2_{d2}</math> then <math>\frac{X/d1}{Y/d2} \sim F(d1,d2)</math>
* If <math>X \sim t_{(n)}</math> then <math>X^2 \sim F(1, n)</math> and <math>X^{-2} \sim F(n, 1)</math>
* If <math>X \sim t_{(n)}</math> then <math>X^2 \sim F(1, n)</math> and <math>X^{-2} \sim F(n, 1)</math>