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This book highlights major problems in the statistical analysis of compositions that have been known for over a century, as well as the corresponding solutions that have been put forward by specialists over the past 30 years. The basic assumptions of normality or multi-normality are pointed out and methods to test and achieve them are also covered. The conventional major and trace element geochemistry and modeling equations are discussed, and are followed by a more sophisticated multidimensional approach to data handling.
Dr. S. P. Verma is a Geochemist dedicated to the study of Mexican volcanoes and geothermal fields, as well as to research in Analytical Geochemistry and Geochemometrics. He has published more than 250 peer-reviewed articles in international journals, book chapters, and peer-reviewed conference proceedings.
Basic Concepts of Geochemistry and Composition of Earth Materials.- Major Element Geochemistry.- Trace Element Geochemistry.- Basic Concepts of Statistics.- Handling of Univariate Data.- Discordancy Tests for Univariate Data.- Significance Tests.- Monte Carlo Simulation.- Bivariate Data and Calibration of Experimental Systems.- Multivariate Data.- Multidimensional techniques for Compositional data analysis.- Multidimensional diagrams for tectonic discrimination of igneous and sedimentary rocks.- Multidimensional Classification for Altered Igneous Rocks.- Statistical Criteria for the Presentation of Results of an Experiment.