Abstract
The statistical properties of a single parameter are investigated by means of univariate analysis. Such a parameter could be, for example, the organic carbon content of a sedimentary unit, the thickness of a sandstone layer, the age of sanidine crystals in a volcanic ash or the volume of landslides. Both the number and the size of samples that we collect from a larger population are oft en limited by financial and logistical constraints. The methods of univariate statistics assist us to draw from the sample conclusions that apply to the population as a whole.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Recommended Reading
Bernoulli J (1713) Ars Conjectandi. Reprinted by Ostwalds Klassiker Nr. 107–108. Leipzig 1899
Dempster AP, Laird NM, Rubin DB (1977) Maximum Likelihood from Incomplete Data via the EM Algorithm. Journal of the Royal Statistical Society, Series B (Methodological) 39(1):1–38
Fisher RA (1935) Design of Experiments. Oliver and Boyd, Edinburgh
Helmert FR (1876) Über die Wahrscheinlichkeit der Potenzsummen der Beobachtungsfehler und über einige damit im Zusammenhang stehende Fragen. Zeitschrift für Mathematik und Physik 21:192–218
Pearson ES (1990) Student – A Statistical Biography of William Sealy Gosset. In: Plackett RL, with the assistance of Barnard GA, Oxford University Press, Oxford
Pearson K (1900) On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Phil. Mag. 50:157–175
Poisson SD (1837) Recherches sur la Probabilité des Jugements en Matière Criminelle et en Matière Civile, Précédées des Regles Générales du Calcul des Probabilités, Bachelier, Imprimeur-Libraire pour les Mathematiques, Paris
Sachs L, Hedderich J (2009) Angewandte Statistik: Methodensammlung mit R, 13., aktualisierte und erweiterte Auflage. Springer, Berlin Heidelberg New York
Snedecor GW, Cochran WG (1989) Statistical Methods, Eighth Edition. Blackwell Publishers, Oxford
Spiegel MR (2008) Schaum’s Outline of Probability and Statistics, 3nd Revised Edition. Schaum’s Outlines, McGraw-Hill Professional, New York
Student (1908) On the Probable Error of the Mean. Biometrika 6:1–25
Taylor JR (1996) An Introduction to Error Analysis – The Study of Uncertainties in Physical Measurements, Second Edition. University Science Books, Sausalito, California
The Mathworks (2010) Statistics Toolbox – User s Guide. The MathWorks, Natick, MA
The Mathworks (2010) MATLAB 7. Object-Oriented Programming. The MathWorks, Natick, MA
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Trauth, M.H. (2010). Univariate Statistics. In: MATLAB® Recipes for Earth Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12762-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-12762-5_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12761-8
Online ISBN: 978-3-642-12762-5
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)