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<p>give an equation of the correction factor for small samples of n < 20. See <a href="page.php?w=unbiased_estimation_of_standard_deviation">unbiased estimation of standard deviation for further discussion.</></p>

<p><big> Derivation </big></p>
<p>The standard error on the mean may be derived from the <a href="page.php?w=variance">variance</a> of a sum of independent random variables, given the <a href="page.php?w=Variance">definition</a> of variance and some <a href="page.php?w=Variance">properties</a> thereof. If  is a sample of  independent observations</p><p>
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