chi-squared function - Hutchinson encyclopedia article about chi-squared function

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chi-squared function

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chi-squared function

Function that in probability theory provides a test for deviation from a null hypothesis. It is usually represented as being made up of:

(observed frequency of result − expected frequency of result)²/expected frequency of result

in which the top line indicates the (squared) deviation from the expected.

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This can be achieved by plotting the cumulative chi-squared function which is the weighted sum of the squares of the difference between observed and calculated powder diffraction patterns up to that point in the diffraction pattern.

Powder diffraction: least-squares and beyond by David, W.I.F. / Journal of Research of the National Institute of Standards and Technology

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