SciELO - Scientific Electronic Library Online

SciELO - Scientific Electronic Library Online

Referencias del artículo

VERMA, Surendra P.. Geochemometrics. Rev. mex. cienc. geol [online]. 2012, vol.29, n.1, pp. 276-298. ISSN 1026-8774.

    Agrawal, S., Guevara, M., Verma, S.P., 2004, Discriminant analysis applied to establis major–element field boundaries for tectonic varieties of basic rocks: International Geology Review, 46(7), 575–594. [ Links ]

    Agrawal, S., Guevara, M., Verma, S.P., 2008, Tectonic discrimination of basic and ultrabasic rocks through log–transformed ratios of immobile trace elements: International Geology Review, 50(12), 1057–1079. [ Links ]

    Aitchison, J., 1982, The statistical–analysis of compositional data: Journal of the Royal Statistical Society Series B–Methodological, 44(2), 139–177. [ Links ]

    Aitchison, J., 1984, Reducing the dimensionality of compositional data set: Mathematical Geology, 16(6), 617–635. [ Links ]

    Aitchison, J., 1986, The Statistical Analysis of Compositional Data: Chapman and Hall, London and New York, 416 p. [ Links ]

    Aitchison, J., 1999, Logratios and natural laws in compositional data analysis: Mathematical Geology, 31(5), 563–580. [ Links ]

    Aitchison, J., Egozcue, J.J., 2005, Compositional data analysis: where are we and where should we be heading?: Mathematical Geology, 37(5), 829–850. [ Links ]

    Albarède, F., 1983, Inversion of batch melting equations and the trace element pattern of the mantle: Journal of Geophysical Research, 88(B12), 10573–10583. [ Links ]

    Allègre, C.J., Treuil, M., Minster, J.F., Minster, B., Albarède, F., 1977, Systematic use of trace element in igneous process. Part I: Fractional crystallization processes in volcanic suites: Contributions to Mineralogy and Petrology, 60(1), 57–75. [ Links ]

    Álvarez del Castillo, A., Santoyo, E., García–Valladares, O., Sánchez–Upton, P., 2010, Evaluación estadística de correlaciones de fracción volumétrica de vapor para la modelación numérica de flujo bifásico en pozos geotérmicos: Revista Mexicana de Ingeniería Química, 9(3), 285–311. [ Links ]

    Andrews, J.E., Brimblecombe, P., Jickells, T.D., Liss, P.S., Reid, B., 2004, An Introduction to Environmental Chemistry. Second edition: Oxford, Blackwell Publishing, 296 p. [ Links ]

    Appelo, C.A.J., Postma, D., 1993, Geochemistry, Groundwater and Pollution. Second edition: Rotterdam, A.A. Balkema, 649 p. [ Links ]

    Armstrong–Altrin, J.S., 2009, Provenance of sands from Cazones, Acapulco, and Bahía Kino beaches, Mexico: Revista Mexicana de Ciencias Geológicas, 26(3), 764–782. [ Links ]

    Arnórsson, S. (editor), 2000, Isotopic and chemical techniques in geothermal exploration, development and use. Sampling methods, data handling, interpretation: Vienna, International Atomic Energy Agency, 351 p. [ Links ]

    Arnórsson, S., Gunnlaugsson, E., 1985, New gas geothermometers for geothermal exploration–calibration and application: Geochimica et Cosmochimica Acta, 49(6), 1307–1325. [ Links ]

    Asuero, A.G., González, G., 2007, Fitting straight lines with replicated observations by linear regression. III weighting data: Critical Reviews in Analytical Chemistry, 37(3), 143–172. [ Links ]

    Bacon, J.R., Linge, K.L., Parrish, R.R., Van Vaeck, L., 2006, Atomic spectrometry update. Atomic mass spectrometry: Journal of Analytical Atomic Spectrometry, 21(8), 785–818. [ Links ]

    Barnett, V., Lewis, T., 1994, Outliers in Statistical Data. Third edition: Chichester, John Wiley, 584 p. [ Links ]

    Baumann, K., 1997, Regression and calibration for analytical separation techniques. Part II: Validation, weighted and robust regression: Process Control and Quality, 10(1), 75–112. [ Links ]

    Bevington, P.R., Robinson, D.K., 2003, Data Reduction and Error Analysis for the Physical Sciences. Third edition: McGrawHill, NewYork, 320 p. [ Links ]

    Bohrson, W.A., Spera, F.J., 2001, Energy–constrained open–system magmatic processes II: application of energy–constrained assimilation – fractional crystallization (EC–AFC) model to magmatic systems: Journal of Petrology, 42(5), 1019–1041. [ Links ]

    Bohrson, W.A., Spera, F.J., 2003, Energy–constrained open–system magmatic processes IV: geochemical, thermal and mass consequences of energy–constrained recharge, assimilation and fractional crystallization (EC–RAFC): Geochemistry Geophysics Geosystems, 4(2), 8002, doi:10.1029/2002GC000316. [ Links ]

    Brooks, C., Hart, S.R., Wendt, I., 1972, Realistic use oftwo–error regression treatments as applied to rubidium–strontium data: Reviews of Geophysics and Space Physics, 10(2), 551–577. [ Links ]

    Bruns, R.E., Scarminio, I.S., De Barros Neto, B., 2006, Statistical Design – Chemometrics: Amsterdam, Elsevier, 412 p. [ Links ]

    Buccianti, A., Mateau–Figueras, G., Pawlowsky–Glahn, V. (editors), 2006, Compositional Data Analysis in the Geosciences: from Theory to Practice: Geological Society Special Publication No. 262, London, 212 p. [ Links ]

    Butler, J.C., 1979, Trends in ternary petrologic variation diagrams – fact or fantasy?: American Mineralogist, 64(9–10), 1115–1121. [ Links ]

    Chayes, F., 1960, On correlation between variables of constant sum: Journal of Geophysical Research, 65(12), 4185–4193. [ Links ]

    Chayes, F., 1965, Classification in a ternary–diagram by means of discriminant functions: The American Mineralogist, 50(10), 1618–1633. [ Links ]

    Chayes, F., 1978. Ratio Correlation. A Manual for Students of Petrology and Geochemistry: The University of Chicago Press, Chicago and London, 99 p. [ Links ]

    Chayes, F., 1985, Complementary ternaries as a means of characterizing silica saturation in rocks of basaltic composition: Journal of Geology, 93(6), 743–747. [ Links ]

    Consolmagno, G.J., Drake, M.J., 1976, Equivalence of equations describing trace element distribution during equilibrium partial melting: Geochimica et Cosmochimica Acta, 40(11), 1421–1422. [ Links ]

    Cribb, J.W., Barton, M., 1996, Geochemical effects of decoupled fractional crystallization and crustal assimilation: Lithos, 37(4), 293–307. [ Links ]

    D'Amore, F., Panichi, C., 1980, Evaluation of deep temperatures of hydrothermal systems by a new gas geothermometer: Geochimica et Cosmochimica Acta, 44(3), 549–556. [ Links ]

    del Río Bocio, J.F., Riu, J., Boqué, R., Rius, F.X., 2003, Limits of detection in linear regression with error in the concentration: Journal of Chemometrics, 17(7), 413–421. [ Links ]

    DePaolo, D.J., 1981, Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization: Earth and Planetary Science Letters, 53(2), 189–202. [ Links ]

    Diáz–González, L., Santoyo, E., Reyes–Reyes, J., 2008, Tres nuevos geotermómetros mejorados de Na/K usando herramientas computacionales y geoquimiométricas: aplicación a la predicción de temperaturas de sistemas geotérmicos: Revista Mexicana de Ciencias Geológicas, 25(3), 465–482. [ Links ]

    Dixon, W.J., 1950, Analysis of extreme values: Annals of Mathematical Statistics, 21(4), 488–506. [ Links ]

    Dixon, W. J., 1951, Ratios involving extreme values: Annals of Mathematical Statistics, 22(1), 68–78. [ Links ]

    Dixon, W.J., 1953, Processing data for outliers: Biometrics, 9(1), 74–89. [ Links ]

    Dougherty–Page, J.S., Bartlett, J.M., 1999, New analytical procedures to increase the resolution of zircon geochronology by the evaporation technique: Chemical Geology, 153(1–4), 227–240. [ Links ]

    Draper, N.R., Smith, H., 1998, Applied Regression Analysis, Third edition: New York, John Wiley, 706 p. [ Links ]

    Efstathiou, C.E., 2006, Estimation of type I error probability from experimental Dixon's "Q" parameter on testing for outliers within small size data sets: Talanta, 69(5), 1068–1071. [ Links ]

    Egozcue, J.J., Pawlowsky–Glahn, V., Mateu–Figueras, G., BArceló–Vidal, C., 2003, Isometric logratio transformations for compositional data analysis: Mathematical Geology, 35(3), 279–300. [ Links ]

    Esbensen, K., Geladi, P., 1990, The start and early history of chemometrics –selected interviews. 2. Journal of Chemometrics, 4(6), 389–412. [ Links ]

    Espinosa–Paredes, G., Verma, S.P., Vázquez–Rodríguez, A., Núñez–Carrera, A., 2010, Mass flow rate sensitivity and uncertainty analysis in natural circulation boiling water reactor core from Monte Carlo simulations: Nuclear Engineering and Design, 240(5), 1050–1062. [ Links ]

    Faber, K., Kowalski, B.R., 1997, Improved estimation of the limit of detection in multivariate calibration: Fresenius Journal of Analytical Chemistry, 357(7), 789–795. [ Links ]

    Faure, G., 2001, Origin of Igneous Rocks. The Isotopic Evidence: Springer, Berlin, 496 p. [ Links ]

    Ferrús, R., Egea, M.R., 1994, Limit of discrimination, limit of detection and sensitivity in analytical systems: Analytica Chimica Acta, 287(1–2), 119–145. [ Links ]

    Freeze, A.R., Cherry, J.A., 1979, Groundwater: New Jersey, Prentice Hall, 604 p. [ Links ]

    Gasparik, T., 2003, Phase diagrams for geoscientists: an atlas of the Earth's interior: Berlin, Springer, 462 p. [ Links ]

    Gawlowski, J., Bartulewics, J., Gierczak, T., Niedzielski, J., 1998, Tests for outliers. A Monte Carlo evaluation of the error of first type: Chemical Analysis (Warsaw), 43, 743–753. [ Links ]

    Geladi, P., Esbensen, K., 1990, The start and early history of chemometrics. 1. Selected interviews: Journal of Chemometrics, 4(5), 337–354. [ Links ]

    Giggenbach, W.F., 1980, Geothermal gas equilibria: Geochimica et Cosmochimica Acta, 44(12), 2021–2032. [ Links ]

    Gladney, E.S., Jones, E.A., Nickell, E.J., 1992, 1988 compilation of elemental concentration data for USGS AGV–1, GSP–1 and G–2: Geostandards Newsletter, 16(2), 111–300. [ Links ]

    Gómez–Arias, E., Andaverde, J., Santoyo, E., Urquiza, G., 2009, Determination of the viscosity and its uncertainty in drilling fluids used for geothermal well completion: application in the Los Humeros field, Puebla, Mexico: Revista Mexicana de Ciencias Geológicas, 26(2), 516–529. [ Links ]

    González–Ramírez, R., Díaz–González, L., Verma, S.P., 2009, Eficiencia relativa de 15 pruebas de discordancia con 33 variantes aplicadas al procesamiento de datos geoquímicos: Revista Mexicana de Ciencias Geológicas, 26(2), 501–515. [ Links ]

    Govindaraju, K., 1994, 1994 compilation of working values and sample description for 383 geostandards: Geostandards Newsletter, Special Issue, 1–158. [ Links ]

    Grubbs, F.E., 1950, Sample criteria for testing outlying observations: Annals of Mathematical Statistics, 21, 27–58. [ Links ]

    Grubbs, F.E., Beck, G., 1972, Extension of sample sizes and percentage points for significance tests of outlying observations: Technometrics, 14(4), 847–854. [ Links ]

    Güell, O.A., Holcombe, J.A., 1990, Analytical applications of Monte Carlo techniques: Analytical Chemistry, 62(9), 529A–542A. [ Links ]

    Guevara, M., Verma, S.P, Velasco–Tapia, F., 2001, Evaluation of GSJ intrusive rocks JG1, JG2, JG3, JG1a, and JGb1 by an objective outlier rejection statistical procedure: Revista Mexicana de Ciencias Geológicas, 18(1), 74–88. [ Links ]

    Guevara, M., Verma, S.P., Velasco–Tapia, F., Lozano–Santa Cruz, R., Girón, P., 2005, Comparison of linear regression models for quantitative geochemical analysis: An example using x–ray fluorescence spectrometry: Geostandards and Geoanalytical Research, 29(3), 271–284. [ Links ]

    Hall, A., 1996, Igneous Petrology. Second edition: Essex, England, Longman, 551 p. [ Links ]

    Hammersley, J.M., Handscomb, 1964, Monte Carlo Methods: Norwich, England, Fletcher and Son Ltd., 174 p. [ Links ]

    Hayes, K., Kinsella, A., 2003, Spurious and non–spurious power in performance criteria for tests of discordancy: The Statistician, 52(1), 69–82. [ Links ]

    Hayes, K., Kinsella, A., Coffey, N., 2007, A note on the use of outlier criteria in Ontario laboratory quality control schemes: Clinical Biochemistry, 40(3–4), 147–152. [ Links ]

    Henley, R.W., Truesdell, A.H., Barton Jr., P.B., Whitney, J.A., 1985, Fluid–Mineral Equilibria in Hydrothermal Systems: Society of Economic Geologists, 266 p. [ Links ]

    Hernández–Martínez, J.L., Verma, S.P., 2009, Reseña sobre las metodologías de campo, analíticas y estadísticas empleadas en la determinación y manejo de datos de los elementos de tierras raras en el sistema suelo–planta: Revista de la Facultad de Ciencias Agrarias, Universidad Nacional de Cuyo, 41(2), 153–189. [ Links ]

    Hertogen, J., Gijbels, R., 1976, Calculation of trace element fractionation during partial melting: Geochimica et Cosmochimica Acta, 40(3), 313–322. [ Links ]

    Hinich, M.J., Talwar, P.P., 1975, A simple method for robust regression: Journal of the American Statistical Association, 70(349), 113–119. [ Links ]

    Hofmann, A.W., Feigenson, M.D., 1983, Case studies on the origin of basalt. I. Theory and reassessment of Grenada basalts: Contributions to Mineralogy and Petrology, 84(4), 382–389. [ Links ]

    Howard, J.L., 1994, A note on the use of statistics in reporting detrital clastic compositions. Sedimentology, 41(4), 747–753. [ Links ]

    Iglewicz, B., Martínez, J., 1982, Outlier detection using robust measures of scale: Journal of Statistical Computation and Simulation, 15, 285–293. [ Links ]

    Imai, N., Terashima, S., Itoh, S., Ando, A., 1995, 1994 compilation values for GSJ reference samples, "Igneous rock series": Geochemical Journal, 29(1), 91–95. [ Links ]

    IUPAC, 1978, Nomenclature, symbols, units and their usage in spectrochemical analysis – II data interpretation: Spectrochimica Acta, Part B 33(6), 242–245. [ Links ]

    Jain, R.B., 1981, Percentage points of many–outlier detection procedures: Technometrics, 23(1), 71–75. [ Links ]

    Jensen, J.L., Lake, L.W., Corbett, P.W.M., Goggin, D.J., 1997, Statistics for Petroleum Engineers and Geoscientists: Prentice–Hall, Upper Saddle River, 390 p. [ Links ]

    Jochum, K.P., Bruckner, S.M., 2008, Reference materials in geoanalytical and environmental research – Review for 2006 and 2007: Geostandards and Geoanalytical Research, 32(4), 405–452. [ Links ]

    Jochum, K.P., Nohl, U., 2008, Reference materials in geochemistry and environmental research and the GeoReM database: Chemical Geology, 253(1–2), 50–53. [ Links ]

    Kaplan, I., 1963, Nuclear Physics: Addition–Wesley, Reading, 770 p. [ Links ]

    Kump, P., 1997, Some considerations on the definition of the limit of detection in X–ray fluorescence spectrometry: Spectrochimica Acta Part B, 52(3), 405–408. [ Links ]

    Langmuir, C.H., Bender, J.F., Bence, A.E., Hanson, G.N., 1977, Petrogenesis of basalts from the famous area: mid–atlantic ridge: Earth and Planetary Science Letters, 36(1), 133–156. [ Links ]

    Lavine, B., Workman, J., 2008, Chemometrics: Analytical Chemistry, 80(12) 4519–4531. [ Links ]

    Law, A.M., Kelton, W.D., 2000, Simulation Modeling and Analysis: McGraw Hill, Boston, 760 p. [ Links ]

    Le Maitre, R.W., Streckeisen, A., Zanettin, B., Le Bas, M.J., Bonin, B., Bateman, P., Bellieni, G., Dudek, A., Schmid, R., Sorensen, H., 2002, Woolley, A.R., 2002, Igneous rocks. A classification and glossary of terms: recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks. Second edition: Cambridge, Cambridge University Press, 236 p. [ Links ]

    Le Roex, A.P., Erlank, A.J., 1982, Quantitative evaluation of fractional crystallization in Bouvet Island lavas: Journal of Volcanology and Geothermal Research, 13(3–4), 309–338. [ Links ]

    Madhavaraju, J., González–León, C.M., Lee, Y.I., Armstrong–Altrin, J.S., Reyes–Campero, and L.M., 2010, Geochemistry of Aptian–Albian Mural Formation of Bisbee Group, Northern Sonora, Mexico: Cretaceous Research, 31(4), 400–414. [ Links ]

    Mahon, K.L., 1996, The New "York" regression: application of an improved statistical method to geochemistry: International Geology Review, 38, 293–303. [ Links ]

    Maronna, R.A., Martin, R.D., Yohai, V.J., 2006, Robust Statistics: John Wiley, Chichester, 403 p. [ Links ]

    Marroquín–Guerra, S.G., Velasco–Tapia, F., Díaz–González, L., 2009, Statistical evaluation of geochemical reference materials from the Centre de Recherches Petrographiques et Geochimiques (France) by applying a schema for the detection and elimination of discordant outlier values: Revista Mexicana de Ciencias Geológicas, 26(2), 530–542. [ Links ]

    McIntyre, G.A., Brooks, C.K., Compston, W., Turek, A., 1966, The statistical assessment of Rb–Sr isochrons: Journal of Geophysical Research, 71(22), 5459–5468. [ Links ]

    Miller, J.N., Miller, J.C., 2005, Statistics and Chemometrics for Analytical Chemistry. Fifth edition: Pearson Prentice Hall, Essex, England, 271 p. [ Links ]

    Minster, J.F., Allègre, C.J., 1978, Systematic use of trace elements in igneous processes Part III. Inverse problem of batch partial melting in volcanic suites: Contributions to Mineralogy and Petrology, 68(1), 37–52. [ Links ]

    Mocak, J., Bond, A.M., Mitchell, S., Scollary, G., 1997, A statistical overview of standard (IUPAC and ACS) and new procedures for determining the limits of detection and quantification: application to voltametric and stripping techniques (Technical Report): Pure & Applied Chemistry, 69(2), 297–328. [ Links ]

    Najafzadeh, A., Jafarzadeh, M., Musavi–Harami, R., 2010, Provenance and tectonic setting of Upper Devonian silisiclastic rocks of Ilanqareh Formation, NW Iran: Revista Mexicana de Ciencias Geológicas, 27(3), 545–561. [ Links ]

    Nicholson, K., 1993, Geothermal Fluids: Chemistry and Exploration Techniques: Berlin, Springer–Verlag, 263 p. [ Links ]

    Nicholls, J., Russell, J.K. (editors), 1990, Modern methods of igneous petrology: understanding magmatic processes: Mineralogical Society of America, 314 p. [ Links ]

    O'Hara, M.J., 1977, Geochemical evolution during fractional crystallisation of a periodically refilled magma chamber: Nature, 266, 503–507. [ Links ]

    O'Hara, M.J., 1980, Nonlinear nature of the unavoidable long–lived isotopic, trace and major element contamination of a developing magma chamber: Philosophical Transactions of the Royal Society of London, 297, 215–227. [ Links ]

    O'Hara, M.J., 1993, Trace element geochemical effects of imperfect crystal–liquid separation: The Geological Society of London, Special Publication No. 76, 39–59. [ Links ]

    O'Hara, M.J., 1995, Trace element geochemical effects of integrated melt extraction and "shaped" melting regimes: Journal of Petrology, 36(4), 1111–1132. [ Links ]

    Otto, M. (1999) Chemometrics. Statistics and Computer Application in Analytical Chemistry: Weinheim, Wiley–VCH. 314 p. [ Links ]

    Ottonello, G., 1997, Principles of Geochemistry: New York, Columbia University Press, 894 p. [ Links ]

    Pandarinath, K., 2009a, Clay minerals in SW Indian continental shelf sediments cores as indicators of provenance and paleomonsoonal conditions: a statistical approach: International Geology Review, 51(2), 145–165. [ Links ]

    Pandarinath, K., 2009b, Evaluation of geochemical sedimentary reference materials of the Geological Survey of Japan (GSJ) by an objective outlier rejection statistical method: Revista Mexicana de Ciencias Geológicas, 26(3), 638–646. [ Links ]

    Pandarinath, K., 2011, Solute geothermometry of springs and wells of the Los Azufres and Las Tres Vírgenes geothermal fields, Mexico: International Geology Review, 53(9), 1032–1058. [ Links ]

    Philip, G.M., Skilbeck, C.G., Watson, D.F., 1987, Algebraic dispersion fields on ternary diagrams: Mathematical Geology, 19(3), 171–181. [ Links ]

    Potts, P. J., Tindle, A.G., Webb, P.C., 1992, Geochemical Reference Material Compositions: Boca raton: Whittles Publishing, CRC Press, 313 p. [ Links ]

    Powell, R., 1984, Inversion of the assimilation and fractional crystallization (AFC) equations; characterization of contaminants from isotope and trace element relationships in volcanic suites: Journal of the Geological Society of London, 141, 447–452. [ Links ]

    Prescott, P., 1979, Critical values for a sequential test for many outliers: Applied Statistics, 28(1), 36–39. [ Links ]

    Presnall, D.C., 1969, The geometrical analysis of partial fusion: American Journal of Science, 267(12), 1178–1194. [ Links ]

    R Development Core Team, 2009, R: A language and environment for statistical computing: R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R/project.org. [ Links ]

    Ragland, P.C., 1989, Basic Analytical Petrology: New York, Oxford University Press, 369 p. [ Links ]

    Reyment, R.A., Savazzi, E., 1999, Aspects of Multivariate Statistical Analysis in Geology: Amsterdam, Elsevier, 285 p. [ Links ]

    Rodríguez–Ríos, R., Aguillón–Robles, A., Leroy, J.L., 2007, Evolución petrológica y geoquímica de un complejo de domos topacíferos en el campo volcánico de San Luis Potosí (México): Revista Mexicana de Ciencias Geológicas, 24(3), 328–343. [ Links ]

    Rollinson, H.R., 1993, Using geochemical data: evaluation, presentation, interpretation: Essex, Longman Scientific Technical, 344 p. [ Links ]

    Rosner, B., 1975, On the detection of many outliers: Technometrics, 17(2), 221–227. [ Links ]

    Rosner, B., 1977, Percentage points for the RST many outlier procedure: Technometrics, 19(3), 307–312. [ Links ]

    Rousseeuw, P.J., Leroy, A.M., 1987, Robust Regression and Outlier Detection: John Wiley & Sons, New York, 329 p. [ Links ]

    Santoyo, E., Verma, S.P., 2003, Determination of lanthanides in synthetic standards by reversed–phase high performance liquid chromatography with the aid of a weighted least–squares regression model: estimation of method sensitivities and detection limits: Journal of Chromatography A, 997(1–2), 171–182. [ Links ]

    Santoyo, E., García, R., Galicia–Alanis, K.A., Verma, S.P., Aparicio, A., Santoyo–Castelazo, A., 2007, Separation and quantification of lanthanides in synthetic standards by capillary electrophoresis: a new experimental evidence of the systematic "odd–even" pattern observed in sensitivities and detection limits: Journal of Chromatography A, 1149(1), 12–19. [ Links ]

    Schilling, J.–G., Winchester, J.W., 1967, Rare–earth fractionation and magmatic processes, in Runcorn, S.K., (ed.), Mantles of the Earth and Terrestrial Planets. London: Interscience Publishers, pp. 267–283. [ Links ]

    Shapiro, S.S., Wilk, M.B., 1965, An analysis of variance test for normality (complete samples): Biometrika, 52(3–4), 591–611. [ Links ]

    Shapiro, S.S., Wilk, M.B., Chen, H.J., 1968, A comparative study of various tests for normality: Journal of American Statistical Association, 63(324), 1343–1371. [ Links ]

    Shaw, D.M., 1970, Trace element fractionation during anatexis: Geochimica et Cosmochimica Acta, 34(2), 237–243. [ Links ]

    Shaw, D.M., 1978, Trace element behaviour during anatexis in the presence of a fluid phase: Geochimica et Cosmochimica Acta, 42(6A), 933–943. [ Links ]

    Spear, F.S., 1995, Metamorphic phase equilibria and pressure–temperature–time paths. Second Edition: Washington, D.C., Mineralogical Society of America, 799 p. [ Links ]

    Spera, F.J., Bohrson, W.A., 2001, Energy–constrained open–system magmatic processes I: general model and energy–constrained assimilation and fractional crystallization (EC–AFC) formulation: Journal of Petrology, 42(5), 999–1018. [ Links ]

    Spera, F.J., Bohrson, W.A., 2002, Energy–constrained open–system magmatic processes 3: energy–constrained recharge, assimilation and fractional crystallization (EC–RAFC): Geochemistry Geophysics Geosystems, 3(12), 8001, doi:10.1029/2002GC000315. [ Links ]

    Spera, F.J., Bohrson, W.A., 2004, Open–system magma chamber evolution: an energy–constrained geochemical model incorporating the effects of concurrent eruption, recharge, variable assimilation and fractional crystallization (EC–Ec'RAcFC): Journal of Petrology, 45(12), 2459–2480. [ Links ]

    Tatsumi, Y., Eggins, S., 1995, Subduction zone magmatism: Japan, Blackwell Science, 211 p. [ Links ]

    Taylor, S.R., McLennan, S.M., 1985, The continental crust: its composition and evolution: Oxford, Blackwell Scientific, 312 p. [ Links ]

    Thompson, M., 1988, Variation of precision with concentration in an analytical system: Analyst 113(10), 1579–1587. [ Links ]

    Tietjen, G.L., Moore, R.H., 1972, Some Grubbs–type statistics for the detection of several outliers: Technometrics, 14(3), 583–597. [ Links ]

    Torres–Alvarado, I.S., Verma, S.P., Palacios–Berruete, H., Guevara, M., González–Castillo, O.Y., 2003, DCBase: a database system to manage Nernst distribution coefficients and its application to partial melting modeling: Computers & Geosciences, 29(9), 1191–1198. [ Links ]

    Torres–Alvarado, I.S., Smith, A.D., Castillo–Román, J., 2011, Sr, Nd, and Pb isotopic and geochemical constraints for the origin of magmas in Popocatépetl volcano (Central Mexico) and their relationship with adjacent volcanic fields: International Geology Review, 53(1), 84–115. [ Links ]

    Tsakanika, L.V., Ochsenkühn–Petropoulou, M.T., Mendrinos, L.N., 2004, Investigation of the separation of scandium and rare earth elements from red mud by use of reversed–phase HPLC: Analytical and Bionalytical Chemistry, 379(5–6), 796–802. [ Links ]

    Velasco, F., Verma, S.P., 1998, Importance of skewness and kurtosis statistical tests for outlier detection and elimination in evaluation of Geochemical Reference Materials: Mathematical Geology, 30(1), 109–128. [ Links ]

    Velasco, F., Verma, S.P., Guevara, M., 2000, Comparison of the performance of fourteen statistical tests for detection of outlying values in geochemical reference material databases: Mathematical Geology, 32(4), 439–464. [ Links ]

    Velasco–Tapia, F., Verma, S.P., 2001, First partial melting inversion model for a rift–related origin of the Sierra de Chichinautzin volcanic field, central Mexican Volcanic Belt: International Geology Review, 43(9), 788–817. [ Links ]

    Velasco–Tapia, F., Verma, S.P., (in press), Magmatic Processes at the volcanic front of Central Mexican Volcanic Belt: Sierra de Chichinautzin volcanic field (Mexico). Turkish Journal of Earth Sciences. [ Links ]

    Velasco–Tapia, F., Guevara, M., Verma, S.P., 2001, Evaluation of concentration data in geochemical reference materials: Chemie der Erde–Geochemistry, 61(1), 69–91. [ Links ]

    Verma, M.P., 2008, Qrtzgeotherm: an ActiveX component for the quartz solubility geothermometer: Computers & Geosciences, 34(12), 1918–1925. [ Links ]

    Verma, S.K., Pandarinath, K., Verma, S.P., 2012, Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant–function–based multi–dimensional diagrams for acid rocks: International Geology Review, 54(3), 325–347. [ Links ]

    Verma, S.P., 1992, Seawater alteration effects on REE, K, Rb, Cs, Sr, U, Th, Pb, and Sr–Nd–Pb isotope systematics of mid–ocean ridge basalt: Geochemical Journal, 26(3), 159–177. [ Links ]

    Verma, S.P., 1997, Sixteen statistical tests for outlier detection and rejection in evaluation of international geochemical reference materials: example of microgabbro PM–S: Geostandards Newsletter, Journal of Geostandards and Geoanalysis, 21(1), 59–75. [ Links ]

    Verma, S.P., 1998a, Improved concentration data in two international geochemical reference materials (USGS basalt BIR–1 and GSJ peridotite JP–1) by outlier rejection: Geofísica Internacional, 37(3), 215–250. [ Links ]

    Verma, S.P., 1998b, Error propagation in geochemical modeling of trace elements in two component mixing: Geofísica Internacional, 37(4), 327–338. [ Links ]

    Verma, S.P., 2000, Error propagation in equations for geochemical modelling of radiogenic isotopes in two–component mixing: Proceedings of the Indian Academy of Sciences (Earth and Planetary Sciences), 109(1), 79–88. [ Links ]

    Verma, S.P., 2004, Solely extension–related origin of the eastern to west–central Mexican Volcanic Belt (Mexico) from partial melting inversion model: Current Science, 86(5), 713–719. [ Links ]

    Verma, S.P., 2005, Estadística Básica para el Manejo de Datos Experimentales: Aplicación en la Geoquímica (Geoquimiometría): México, D. F., Universidad Nacional Autónoma de México, 186 p. [ Links ]

    Verma, S.P., 2006, Extension related origin ofmagmas from a garnet–bearing source in the Los Tuxtlas volcanic field, Mexico: International Journal of Earth Sciences, 95(5), 871–901. [ Links ]

    Verma, S.P., 2009, Evaluation of polynomial regression models for the Student t and Fisher F critical values, the best interpolation equations from double and triple natural logarithm transformation of degrees of freedom up to 1000, and their applications to quality control in science and engineering: Revista Mexicana de Ciencias Geológicas, 26(1), 79–92. [ Links ]

    Verma, S.P., 2010, Statistical evaluation of bivariate, ternary and discriminant function tectonomagmatic discrimination diagrams: Turkish Journal of Earth Sciences, 19(2), 185–238. [ Links ]

    Verma, S.P., Agrawal, S., 2011, New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log–transformed ratios of high field strength elements and implications for petrogenetic processes: Revista Mexicana de Ciencias Geológicas, 28(1), 24–44. [ Links ]

    Verma, S.P., Andaverde, J., 2007, Coupling of thermal and chemical simulations in a 3–D integrated magma chamber–reservoir model: a new geothermal energy research frontier, in Ueckermann, H.I., (ed.) Geothermal Energy Research Trends: Nova Science Publishers, Inc., pp. 149–189. [ Links ]

    Verma, S.P., Díaz–González, L., 2012, Application of the discordant outlier detection and separation system in the geosciences: International Geology Review, 54(3), 593–614. [ Links ]

    Verma, S.P., Quiroz–Ruiz, A., 2006a, Critical values for six Dixon tests for outliers in normal samples up to sizes 100, and applications in science and engineering: Revista Mexicana de Ciencias Geológicas, 23(2), 133–161. [ Links ]

    Verma, S.P., Quiroz–Ruiz, A., 2006b, Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100, and applications in science and engineering: Revista Mexicana de Ciencias Geológicas, 23(3), 302–319. [ Links ]

    Verma, S.P., Quiroz–Ruiz, A., 2008, Critical values for 33 discordancy test variants for outliers in normal samples for very large sizes of 1,000 to 30,000: Revista Mexicana de Ciencias Geológicas, 25(3), 369–381. [ Links ]

    Verma, S.P., Quiroz–Ruiz, A., 2011, Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100, and applications in science and engineering [Rev. Mex. Cienc. Geol., 23 (2006), 302–319]: Revista Mexicana de Ciencias Geológicas 28 (1): 202. [ Links ]

    Verma, S.P., Santoyo, E., 1997, New improved equations for Na/K, Na/Li and SiO2 geothermometers by outlier detection and rejection: Journal of Volcanology and Geothermal Research, 79(1), 9–23. [ Links ]

    Verma, S.P., Santoyo, E., 2003a, An unusual systematic behaviour of detection limits for elements 55Cs to 73Ta: Analytical and Bionalytical Chemistry, 377(1), 82–84. [ Links ]

    Verma, S.P., Santoyo, E., 2003b, Evaluation of mass spectrometry and other techniques for the determination of rare–earth elements in geological materials, in Aggarwal, S.K. (ed.), ISMAS Silver Jubilee Symposium on Mass Spectrometry 2003, Vol. 1, Dona Paula, Goa: Indian Society for Mass Spectrometry, pp. 471–486. [ Links ]

    Verma, S.P., Santoyo, E., 2003c, In search of a systematic behaviour of limits of detection for heavy elements (74W to 92U), in Aggarwal, S.K., (ed.), ISMAS Silver Jubilee Symposium on Mass Spectrometry 2003, Vol. 2. Dona Paula, Goa: Indian Society for Mass Spectrometry, pp. 511–516. [ Links ]

    Verma, S.P., Santoyo, S., 2005, Is odd–even effect reflected in detection limits?: Accreditation and Quality Assurance, 10(4), 144–148. [ Links ]

    Verma, S.P., Orduña–Galván, L.J., Guevara, M., 1998, SIPVADE: A new computer programme with seventeen statistical tests for outlier detection in evaluation of international geochemical reference materials and its application to Whin Sill dolerite WS–E from England and Soil–5 from Peru: Geostandards Newsletter: Journal of Geostandards and Geoanalysis, 22(2), 209–234. [ Links ]

    Verma, S.P., Santoyo, E., Velasco–Tapia, F., 2002, Statistical evaluation of analytical methods for the determination or rare–earth elements in geological materials and implications for detection limits: International Geology Review, 44(4), 287–335. [ Links ]

    Verma, S.P., Guevara, M., Agrawal, S., 2006, Discriminating four tectonic settings: five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log–ratio transformation of major–element data: Journal of Earth System Science, 115(5), 485–528. [ Links ]

    Verma, S.P., Quiroz–Ruiz, A., Díaz–González, L., 2008a, Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000, and applications in quality control in Earth sciences: Revista Mexicana de Ciencias Geológicas, 25(1), 82–96, with 209 pages of electronic supplement 25–1–01 Critical values for 33 discordancy tests, available at http://satori.geociencias.unam.mx. [ Links ]

    Verma, S.P., Pandarinath, K., Santoyo, E., 2008b, SolGeo: a new computer program for solute geothermometers and its application to Mexican geothermal fields: Geothermics, 37(6), 597–621. [ Links ]

    Verma, S.P., Pandarinath, K., Velasco–Tapia, F., Rodríguez–Ríos, R., 2009a, Evaluation of the odd–even effect in limits of detection for electron microprobe analysis of natural minerals: Analytica Chimica Acta, 638(2), 126–132. [ Links ]

    Verma, S.P., Díaz–González, L., González–Ramírez, R., 2009b, Relative efficiency of single–outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibrations by a weighted least–squares linear regression model: Geostandards and Geoanalytical Research, 33(1), 29–49. [ Links ]

    Verma, S.P., Pandarinath, K., Verma, S.K., 2010, Statistically correct methodology for compositional data in new discriminant function tectonomagmatic diagrams and application to ophiolite origin: Advances in Geosciences 27, Solid Earth Science, 11–22. [ Links ]

    Verma, S.P., González–Ramírez, R., Rodríguez–Ríos, R., 2011a, Comparison of two sample preparation methods in x–ray fluorescence spectrometry for the analysis of Ni and Cr: Geostandards and Geoanalytical Research, 35(2), 183–192. [ Links ]

    Verma, S.P., Verma, S.K., Pandarinath, K., Rivera–Gómez, M.A., 2011b, Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America: Pure and Applied Geophysics, 168(8–9), 1501–1525. [ Links ]

    Verma, S.P., Gómez–Arias, E., Andaverde, J., 2011c, Thermal sensitivity analysis of emplacement of the magma chamber in Los Humeros caldera, Puebla, Mexico: International Geology Review, 53(8), 905–925. [ Links ]

    Verma, S.P., Arredondo–Parra, U.C., Andaverde, J., Gómez–Arias, E., Guerrero–Martínez, F., 2011d, Three–dimensional temperature field simulation of a cooling of a magma chamber, La Primavera caldera, Jalisco, Mexico, International Geology Review, DOI:1 0.1080/00206814.2011.585036 [ Links ]

    Villemant, B., Jaffrezic, H., Joron, J.–L., Treuil, M., 1981, Distribution coefficients of major and trace elements; fractional crystallization in the alkali basalt series of Chaine des Puys (Massif Central, France): Geochimica et Cosmochimica Acta, 45(11), 1997–2016. [ Links ]

    Viner, R.I., Zhang, T., Second, T., Zabrouskov, V., 2009, Quantification of post–translationally modified peptides of bovine a–crystallin using tandem mass tags and electron transfer dissociation: Journal of Proteomics, 72(5), 874–885. [ Links ]

    von Eynatten, H., Barceló–Vidal, C., Pawlowsky–Glahn, V., 2003, Modelling compositional change: the example of chemical weathering of granitoid rocks: Mathematical Geology, 35(3), 231–251. [ Links ]

    Wood, D.A., 1979, Dynamic partial melting: its application to the petrogeneses of basalts erupted in Iceland, the Faeroe Islands, the Isle of Skye (Scotland) and the Troodos Massif (Cyprus): Geochimica et Cosmochimica Acta, 43(7), 1031–1046. [ Links ]

    Yanagi, T., Ishizaka, K., 1978, Batch fractionation model for the evolution of volcanic rocks in an island–arc: an example from central Japan: Earth and Planetary Science Letters, 40(2), 252–262. [ Links ]

    York, D., 1966, Least–squares fitting of a straight line: Canadian Journal of Physics, 44, 1079–1086. [ Links ]

    York, D., 1969, Least squares fitting of a straight line with correlated errors: Earth and Planetary Science Letters, 5, 320–324. [ Links ]

    Young, D.A., 1998, N.L. Bowen and Crystallization–Differentiation: the Evolution of a Theory: Washington D.C., Mineralogical Society of America, 276 p. [ Links ]

    Zeyrek, M., Ertekin, K., Kacmaz, S., Seyis, C., Inan, S., 2010, An ion chromatography method for the determination of major anions in geothermal water samples: Geostandards and Geoanalytical Research, 34(1), 67–77. [ Links ]

    Zorn, M.E., Gibbons, R.D., Sonzogni, W.C., 1997, Weighted least–squares approach to calculating limits of detection and quantification by modeling variability as a function of concentration: Analytical Chemistry, 69(15), 3069–3075. [ Links ]

    Zorn, M.E., Gibbons, R.D., Sonzogni, W.C., 1999, Evaluation of approximate methods for calculating the limit of detection and limit of quantification: Environmental Science and Technology, 33(13), 2291–2295. [ Links ]