File:Chi-square median approx.png

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English: This replacement for the en.wikipedia's non-free and not-very-good plot File:Chi on SAS.png (from this blog) shows the numerically computed median of the chi-squared distribution, and the approximation from the Wilson–Hilferty transformation, at integer degrees of freedom (circles) and also as a continuous function that could be transformed to represent the median of the gamma distribution. The median and approximation are too close to see a difference, so their difference (absolute error) is also plotted, and also the relative error, which is difference (median - approx) divided by the true median. For degrees of freedom less than 2/9, the approximation goes negative, so the curves are cut off at that point.
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Author Dicklyon

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Chi-squared distribution median and approximation based on Wilson-Hilferty transformation

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25 November 2020

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current11:57, 26 November 2020Thumbnail for version as of 11:57, 26 November 20201,256 × 1,090 (124 KB)wikimediacommons>Dicklyonheavier lines, larger circles

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