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Bayes' Theorem
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---------------
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This page is inpired from `MathIsFun <https://www.mathsisfun.com/data/bayes-theorem.html>`__.
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Video
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=========
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.. raw:: html
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<video controls class="align-center" width="320" height="240" src="../_static/videos/bayes_theorem.mp4"></video>
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Example
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=========
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Hunter says she is itchy. There is a test for Allergy to Cats, but this test is not always right:
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For people that really do have the allergy, the test says "Yes" 80% of the time
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For people that do not have the allergy, the test says "Yes" 10% of the time ("false positive")
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If 1% of the population have the allergy, and Hunter's test says "Yes", what are the chances that Hunter really has the allergy?
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@ -65,6 +65,7 @@ When working with a sample, the following is an unbiased estimator of the standa
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To understand why denominator is :math:`n-1` see :ref:`Bessel's correction <bessel_correction>`.
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.. _sem:
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Standard Error of the Mean
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-----------------------------
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