Computer Science
Scientific paper
Dec 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gecoa..58.5479w&link_type=abstract
Geochimica et Cosmochimica Acta, vol. 58, Issue 24, pp.5479-5487
Computer Science
1
Scientific paper
A new method for identifying mineral controls on the chemical evolution of magmas has statistical power and interpretative reliability exceeding those of the conserved-denominator method. Conserved denominator (or "Pearce element-ratio") analysis compares two chemical variables that have each been divided by the same third chemical variable. The common divisor introduces "induced correlations" that tend to reduce statistical power--the method tends to assert the presence of mineral controls where none exist. No available method can remove or even quantify the effects of these induced correlations. By recasting chemical data into a new form, standard regression analysis serves to evaluate the same geochemical hypotheses, evaluated by common-denominator analysis. This new approach devolves from simple geometric relationships among compositional variables, is consistent with a linear mixing paradigm, and does not introduce induced correlations. Furthermore, tests for co-control by minerals with common cations (e.g., olivine and orthopyroxene) are easily formulated with this new method. Case studies involving olivine and olivine + plagioclase control, as well as synthetic-data studies, illustrate and verify this new method.
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