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 5

Tectonic discrimination analysis of felsic magmas from the Sierra de las Cruces using multidimensional diagrams [22]^a.

Figure name	Figure type	Total number of samples	Number of discriminated samples
			Arc			Within-plate	Collision
			IA + CA [𝑥±𝑠]; (𝑝IA+CA)	IA [𝑥±𝑠]; (𝑝IA)	CA [𝑥±𝑠]; (𝑝CA)	CR + OI [𝑥±𝑠]; (𝑝CR+OI)	Col [𝑥±𝑠]; (𝑝Col)
Major elements	1+2-3+4-5	46	46  [0.91±0.08]; (0.700–0.987)	—	—	0	0
	1-2-3+4	46	—	0	46  [0.92±0.03]; (0.815–0.969)	0	—
	1-2-5	46	—	0	46  [0.91±0.05]; (0.666–0.965)	—	0
	1-3+4-5	46	—	27  [0.50±0.29]; (0.056–0.933)	—	0	19  [0.30±0.19]; (0.031–0.804)
	2-3+4-5	46	—	—	46  [0.95±0.05]; (0.767–0.995)	0	0
All major element based diagrams	{∑𝑛}  {∑prob}; [% prob]	{230}	{46}  {39.234}; [---]	{27}  {35.511}; [17.2%]	{138}  {152.57}; [ 74.1% ]	{0}  {0.0}; [0.0%]	{19}  {17.938}; [8.7%]
Major and trace elements	1+2-3+4-5	46	46  [0.84±0.33]; (0.556–0.946)	—	—	0	0
	1-2-3+4	46	—	3 [0.22±0.14]; (0.010–0.651)	43  [0.74±0.13]; (0.324–0.934)	0	—
	1-2-5	46	—	3  [0.20±0.14]; (0.007–0.671)	43  [0.71±0.12]; (0.296–0.919)	—	0
	1-3+4-5	46	—	33  [0.49±0.22]; (0.025–0.907)	—	0	13  [0.35±0.16]; (0.045–0.699)
	2-3+4-5	46	—	—	46  [0.87±0.07]; (0.660–0.953)	0	0
All major and trace element based diagrams	{∑𝑛}  {∑prob}; [% prob]	{230}	{46}  {36.007}; [---]	{39}  {47.423}; [23.4%]	{132}  {127.66}; [ 63.0% ]	{0}  {0.0}; [0.0%]	{13}  {27.658}; [13.6%]
Trace elements	1+2-3+4-5	46	46  [0.87±0.08]; (0.656–0.973)	—	—	0	0
	1-2-3+4	46	—	1 [0.14±0.13]; (0.003–0.560)	45  [0.85±0.12]; (0.440–0.990)	0	—
	1-2-5	46	—	0	46  [0.82±0.06]; (0.599–0.913)	—	0
	1-3+4-5	46	—	16 [0.38±0.30]; (0.001–0.953)	—	0	30  [0.57±0.28]; (0.047–0.975)
	2-3+4-5	46	—	—	46  [0.95±0.05]; (0.744–0.996)	0	0
All trace element based diagrams	{∑𝑛}  {∑prob}; [% prob]	{230}	{46}  {37.178}; [---]	{17}  {31.627}; [14.9%]	{137}  {145.56}; [ 68.7% ]	{0}  {0.0}; [0.0%]	{30}  {34.795}; [16.4%]

aFor explanation see the footnote of Figure 6. For details of principles, equations, and application rules of the multidimensional diagrams see [22].