Research Article

Multivariate Analysis, Mass Balance Techniques, and Statistical Tests as Tools in Igneous Petrology: Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt)

Figure 3

Discriminant-function multidimensional diagrams [21], based on ln-transformed ratios of major elements, for the tectonic discrimination of intermediate Sierra de las Cruces rocks. Tectonic settings: IA: island arc, CA: continental arc, CR: continental rift, OI: ocean island, and Col: collision. The symbols are explained as inset in (a). In (a), five groups are represented as three groups by combining IA and CA as IA + CA and CR and OI as CR + OI. The other four diagrams ((b)–(e)) are for three groups at a time. The subscript mint refers to the set of multidimensional diagrams based on ln-transformed major element (m) ratios for intermediate (int) magmas. Filled circles display the compositional centroid for each tectonic setting. The percentages in each field are the discrimination effectivity. The thick lines represent equal probability discrimination boundaries in all diagrams. The coordinates of the field boundaries and additional information are reported in [21].
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(a)
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(b)
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(c)
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(d)
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(e)