Tables for
Volume H
Powder diffraction
Edited by C. J. Gilmore, J. A. Kaduk and H. Schenk

International Tables for Crystallography (2018). Vol. H, ch. 3.8, p. 325

Section Combining the correlation coefficients

C. J. Gilmore,a G. Barra and W. Donga*

aDepartment of Chemistry, University of Glasgow, University Avenue, Glasgow, G12 8QQ, UK
Correspondence e-mail: Combining the correlation coefficients

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Correlation coefficients are not additive, so it is invalid to average them directly; they need to be transformed into the Fisher Z value to give[{\rho _{ij}}\, = \,\tanh \left [{\left({{{\tanh }^{ - 1}}{R_{ij}}\, + \,{{\tanh }^{ - 1}}{r_{ij}}} \right)/2} \right]. \eqno(3.8.3)]

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