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)

Table 7

𝐴--𝐷 coefficients of hyperbolic Equations (10a)–(10d) for magma mixing between N1 and N3 end-members (northern Sierra de las Cruces sector), generated applying the mass-balance model by Zou [33].

Ratio-ratio system	𝑦-axis	𝑥-axis	Hyperbolic mixing equation coefficients
			𝐴	𝐵	𝐶	𝐷
1	[Fe2O3]adj/[K2O]adj	[SiO2]adj/[FeO]adj	0.81	−9.60	45.1	64.7
2	[Fe2O3]adj/[Al2O3]adj	[SiO2]adj/[FeO]adj	0.81	−44.5	−223	64.7
3	V/Ba	[SiO2]adj/[FeO]adj	−49.2	−1939	6792	7584
4	V/U	[SiO2]adj/[FeO]adj	−49.2	−9.95	67.2	7584
5	Cr/Th	[SiO2]adj/[FeO]adj	−481	−24.2	148	18168
6	Cr/Yb	[SiO2]adj/[FeO]adj	−481	−3.53	−43.5	18167
7	[MgO]adj/Eu	[SiO2]adj/V	−224	−96	−25.3	398
8	[MgO]adj/Hf	[SiO2]adj/V	−225	−451	−3.61	398
9	[CaO]adj/Ta	[SiO2]adj/V	149	−66	12.7	247
10	[CaO]adj/Zr	[SiO2]adj/V	149	−16840	280	247
11	Ga/Ni	[SiO2]adj/V	2038	2600	−5518	167
12	Ga/Rb	[SiO2]adj/V	2037	−8280	1685	167