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      Application of discordancy and significance statistical tests for the comparison of dacitic volcanism from the central part of the Mexican Volcanic Belt Translated title: Aplicación de las pruebas estadísticas de discordancia y significancia en la comparación del vulcanismo dacítico de la parte central de Cinturón Volcánico Mexicano

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          Abstract

          Our aim is to show a statistical procedure along with two new computer programs (DODESSYS and UDASYS). For this task we compiled a database of 249 samples of dacite coming from four closely located Mexican Volcanic Belt (MVB) areas: monogenetic volcanoes from the Sierra de Chichinautzin and Valle de México, the Nevado de Toluca stratovolcano, the Iztaccíhuatl stratovolcano and the Popocatépetl stratovolcano. The discordancy and significance (ANOVA -ANalysis Of Variance-, Fishers' F and Student's t) statistical tests were applied at 99% confidence level. The final statistical was calculated for 98 geochemical parameters, these include major oxides, rare earth elements, trace elements and additional parameters, as well as log-ratio parameters used in new tectonic discrimination diagrams. These geochemical parameters were treated as univariate statistical samples and were classified according with the four MVB regions. Discordancy statistical tests detected discordant outliers in 124 (amount to about 35%) statistical samples. ANOVA tests showed significant differences among all groups in 32 parameters. The similarities and differences between the log-ratios parameters elements may eventually be useful in future to propose tectonic discrimination diagrams from a representative database.

          Translated abstract

          Nuestro objetivo es presentar una metodología estadística, junto con dos nuevos programas (DODESSYS y UDASYS). Para esta tarea compilamos una base de datos de 249 muestras de rocas dacitas provenientes de cuatro regiones del cinturón volcánico mexicano (MVB): volcanes monogenéticos de la Sierra de Chichinautzin y el Valle de México, estratovolcán Nevado de Toluca, estratovolcán Iztaccíhuatl y estratovolcán Popocatépetl. Las pruebas estadísticas de discordancia y significancia (ANOVA -ANalysis Of Variance-, F de Fisher y t de Student) fueron aplicadas al 99% de nivel de confianza. Se calculó la estadística final para 98 parámetros, incluyendo óxidos mayores, elementos de tierras raras, elementos traza y parámetros adicionales, tales como parámetros de relaciones logarítmicas usados en nuevos diagramas de discriminación tectónica. Estos parámetros fueron tratados como muestras estadísticas univariadas y fueron clasificados en cuatro regiones del MVB. Las pruebas estadísticas de discordancia detectaron datos discordantes en 124 (aproximadamente en el 35%) muestras estadísticas univariadas. La prueba ANOVA mostró diferencias significativas entre todos los grupos en 32 parámetros. Las similitudes y diferencias entre los parámetros de relaciones logarítmicas pueden ser útiles en el futuro para proponer diagramas de discriminación tectónica a partir de una base de datos representativa.

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          Most cited references98

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          A late-Quaternary monogenetic volcano field in central Mexico

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            Geochemical Evidence for Mantle Origin and Crustal Processes in Volcanic Rocks from Popocatépetl and Surrounding Monogenetic Volcanoes, Central Mexico

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              Quaternary volcanism near the Valley of Mexico: implications for subduction zone magmatism and the effects of crustal thickness variations on primitive magma compositions

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                Author and article information

                Journal
                ns
                Nova scientia
                Nova scientia
                Universidad de La Salle Bajío A. C., Coordinación de Investigación (León, Guanajuato, Mexico )
                2007-0705
                2014
                : 6
                : 11
                : 158-178
                Affiliations
                [01] Cuernavaca Morelos orgnameUniversidad Autónoma del Estado de Morelos orgdiv1Facultad de Ciencias México ldg@ 123456uaem.mx
                Article
                S2007-07052014000100010 S2007-0705(14)00601100010
                6c9ec6b2-2687-4ae7-8520-0a2c87ffeab3

                This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

                History
                : 29 October 2012
                : 29 October 2013
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 63, Pages: 21
                Product

                SciELO Mexico

                Categories
                Natural sciences and engineering

                statistical handling of compositional data,geochemical data,discordant outliers,Student's t,Fisher's F,ANOVA,manejo estadístico de datos composicionales,datos geoquímicos,datos discordantes,t de Student,F de Fisher

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