https://www.chenk.top/en/tags/confidence-intervals/Recent content in Confidence Intervals on Chen Kai BlogHugoenWed, 28 Aug 2024 09:00:00 +0000https://www.chenk.top/en/probability-statistics/07-hypothesis-testing/Wed, 28 Aug 2024 09:00:00 +0000https://www.chenk.top/en/probability-statistics/07-hypothesis-testing/<p>You&rsquo;ve estimated a parameter. You&rsquo;ve quantified the bias-variance tradeoff. Now comes the question that drives most applied statistics: &ldquo;Is this effect real, or just noise?&rdquo;</p> <p>Hypothesis testing is the formal framework for answering this question. It&rsquo;s also the most widely misunderstood part of statistics. Entire papers have been written about how researchers misinterpret p-values, how significance thresholds are arbitrary, and how the multiple testing problem inflates false discoveries. Understanding both the theory and the pitfalls is essential for anyone who works with data.</p>