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Wendt & Carl 1991

Wendt, I. and Carl, C. (1991). The Statistical Distribution of the Mean Squared Weighted Deviation. Chemical Geology 86(4): 275-285.

The probability distribution of the mean squared weighted deviation (MSWD) is derived and its dependence on degrees of freedom f is shown. The expectation (or mean) value of MSWD = 1 and is not a function of f. However, the +1-sigma-range of the expectation value of the MSWD decreases with increasing f. The standard deviation of the MSWD is sigma = +/- (2/f)1/2. If MSWD > 1 + 2(2/f)1/2, there is only < 5% probability that the data define an isochron. Use of MSWD as a criterion for accepting or rejecting the assumption of an isochron may be applied only if analytical errors sigma-x(i) and sigma-y(i) are well known.

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Keywords
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Journal
Chemical Geology
http://www.elsevier.com/wps/product/cws_home/503324

Publisher
Elsevier Science
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