P-Values and Critical Values

The goodness-of-fit statistic reports a measure of the deviation of the fitted distribution from the input data. As mentioned earlier, the smaller the fit statistic is, the better the fit. But how small a value is needed for a "good" fit? For fits to sample data, this section explains how P-values and critical values can be used to analyze the "goodness" of a fit.

For the discussion below, suppose we have a distribution fitted to a set of N sampled values, and a corresponding fit statistic, s.

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P-Values

Critical Values

Calculation Methods in BestFit


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