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Book 1 Page 200 Hypothesis Testing #654

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siqi-zheng opened this issue Aug 22, 2024 · 0 comments
Open

Book 1 Page 200 Hypothesis Testing #654

siqi-zheng opened this issue Aug 22, 2024 · 0 comments

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@siqi-zheng
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siqi-zheng commented Aug 22, 2024

I believe a negative sign is missing in the highlighted part. That is, $Pr(test(\tilde D) \leq \textbf{-test(D)}|\tilde D \sim H_0)$. Otherwise, the sum of $Pr(test(\tilde D) \geq test(D)|\tilde D \sim H_0) + Pr(test(\tilde D) \leq test(D) | \tilde D \sim H_0) = 1$. Also this assumes test(D) is positive.
2024-08-22 160851

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