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EXTENDED QMODEL—objective definition of external end members in the analysis of mixtures

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Abstract

Analysis of empirical data considered to be mixtures of a finite number of end members has been a topic of increasing interest recently. The algorithms EXTENDED CABFAC and QMODEL by Klovan and Miesch (1976) represent a satisfactory solution to this problem if pure end members are captured within the data set or if the composition of “true” end members are known a priori. Where neither condition is satisfied, the composition of “external” end members can, under certain conditions, be deduced from the structure of the data. Described herein is an algorithm termed EXTENDED QMODEL which defines feasible end members which are “closest” to the data envelope.

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This research was supported in part by a grant from the Office of Naval Research (N00014-78C-0698 Code 483).

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Full, W.E., Ehrlich, R. & Klovan, J.E. EXTENDED QMODEL—objective definition of external end members in the analysis of mixtures. Mathematical Geology 13, 331–344 (1981). https://doi.org/10.1007/BF01031518

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