| Document Type
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BL
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| Record Number
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879034
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| Main Entry
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Glover, David M.
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| Title & Author
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Modeling methods for marine science /\ David M. Glover, William J. Jenkins, and Scott C. Doney.
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| Publication Statement
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Cambridge ;New York, N.Y. :: Cambridge University Press,, 2011.
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| Page. NO
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1 online resource (xv, 571 pages) :: illustrations, maps
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| ISBN
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0511975724
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: 0521867835
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: 1139137387
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: 1139138944
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: 1139139738
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: 1139140515
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: 1139141406
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: 1139144723
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: 1283315068
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: 1316088081
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: 6613315060
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: 9780511975721
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: 9780521867832
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: 9781139137386
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: 9781139138949
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: 9781139139731
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: 9781139140515
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: 9781139141406
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: 9781139144728
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: 9781283315067
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: 9781316088081
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: 9786613315069
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9781139141406
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| Bibliographies/Indexes
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Includes bibliographical references (pages 552-563) and index.
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| Contents
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Cover; Title; Copyright; Dedication; Contents; Preface; 1 Resources, MATLAB primer, and introduction to linear algebra; 1.1 Resources; 1.2 Nomenclature; 1.3 A MATLAB primer; 1.4 Basic linear algebra; 1.5 Problems; 2 Measurement theory, probability distributions, error propagation and analysis; 2.1 Measurement theory; 2.1.1 Systems of measurements (scales); 2.1.2 Precision versus accuracy; 2.1.3 Systematic versus random errors; 2.1.4 Significant figures and roundoff; 2.1.5 Computational roundoff and truncation; 2.2 The normal distribution; 2.2.1 Parent versus sample distributions.
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2.2.2 Mean/median/mode/moments2.2.3 The normal (Gaussian) distribution; 2.2.4 Testing a normal distribution; 2.2.5 Standardization and normalization (Z-scores); 2.2.6 Calculating normal probabilities; 2.3 Doing the unspeakable: throwing out data points?; 2.3.1 Chauvenet's criterion; 2.4 Error propagation; 2.4.1 The general equation; 2.4.2 Assumptions regarding independence or orthogonality; 2.5 Statistical tests and the hypothesis; 2.5.1 Hypothesis building and test; 2.5.2 Example 1: testing a null hypothesis; 2.5.3 Example 2: testing for a normal distribution; 2.6 Other distributions.
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2.6.1 Student's t-distribution2.6.2 The F-distribution; 2.6.3 Poisson distribution; 2.6.4 Weibull distributions; 2.6.5 Log-normal transformations; 2.7 The central limit theorem; 2.8 Covariance and correlation; 2.8.1 Analysis of variance (ANOVA); 2.9 Basic non-parametric tests; 2.9.1 Spearman rank-order correlation coefficient; 2.9.2 Kendall's tau; 2.9.3 Wilcoxon signed-rank test; 2.9.4 Kruskal-Wallis ANOVA; 2.9.5 Mann-Whitney rank-sum test; 2.10 Problems; 3 Least squares and regression techniques, goodness of fit and tests, and nonlinear least squares techniques.
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3.1 Statistical basis for regression3.1.1 The chi-squared (?2) defined (and goodness of fit); 3.1.2 Look at your residuals; 3.2 Least squares fitting a straight line; 3.2.1 Doing things the hard way (the normal equations); 3.2.2 Uncertainties in coefficients; 3.2.3 Uncertainties in an estimated y-value; 3.2.4 Example: ocean heat content; 3.2.5 Type II regressions (two dependent variables); 3.3 General linear least squares technique; 3.3.1 Choose your model functions wisely; 3.3.2 There is an easier way: the design matrix approach; 3.3.3 Solving the design matrix equation with SVD.
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3.3.4 Multi-dimensional regressions3.3.5 Transformably linear models; 3.3.6 Non-coefficients; 3.4 Nonlinear least squares techniques; 3.4.1 Iterative techniques; 3.4.2 Uncertainties in nonlinear coefficients; 3.4.3 Example: Exponential phytoplankton growth; 3.4.4 Example: Gaussian on a constant background; 3.5 Problems; 4 Principal component and factor analysis; 4.1 Conceptual foundations; 4.1.1 The data matrix and the covariance matrix; 4.1.2 Standardization and normalization; 4.1.3 Linear independence and basis functions; 4.2 Splitting and lumping; 4.2.1 Discriminant analysis.
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| Abstract
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This is a textbook on modelling, data analysis and numerical techniques for advanced students and researchers in chemical, biological, geological and physical oceanography.
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| Subject
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Marine sciences, Statistics.
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| Subject
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Marine sciences-- Mathematical models.
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| Subject
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Oceanography, Statistics.
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Oceanography-- Mathematical models.
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Marine sciences.
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NATURE-- Ecosystems Habitats-- Oceans Seas.
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Oceanography-- Mathematical models.
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| Subject
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Oceanography.
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| Subject
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SCIENCE-- Earth Sciences-- Oceanography.
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| Dewey Classification
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551.4/6/015118
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| LC Classification
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GC10.4.M36G56 2011eb
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| Added Entry
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Doney, Scott Christopher.
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Jenkins, William J.
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