Mastering scientific computing with R /
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Author / Creator: | Gerrard, Paul, author. |
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Imprint: | Birmingham, England : Packt Publishing, 2015. [Sebastapol, California] : Safari Books Online, 2016. |
Description: | 1 online resource : illustrations |
Language: | English |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11306229 |
Table of Contents:
- ""Cover""; ""Copyright""; ""Credits""; ""About the Authors""; ""About the Reviewers""; ""www.PacktPub.com""; ""Table of Contents""; ""Preface""; ""Chapter 1: Programming with R""; ""Data structures in R""; ""Atomic vectors""; ""Operations on vectors""; ""Lists""; ""Attributes""; ""Factors""; ""Multidimensional arrays""; ""Matrices""; ""Data frames""; ""Loading data into R""; ""Saving data frames""; ""Basic plots and the ggplot2 package""; ""Flow control""; ""The for() loop""; ""The apply() function""; ""The if() statement""; ""The while() loop""; ""The repeat{} and break statement""
- ""Functions""""General programming and debugging tools""; ""Summary""; ""Chapter 2: Statistical Methods with R""; ""Descriptive statistics""; ""Data variability""; ""Confidence intervals""; ""Probability distributions""; ""Fitting distributions""; ""Higher order moments of a distribution""; ""Other statistical tests to fit distributions""; ""The propagate package""; ""Hypothesis testing""; ""Proportion tests""; ""Two sample hypothesis tests""; ""Unit root tests""; ""Summary""; ""Chapter 3: Linear Models""; ""An overview of statistical modeling""; ""Model formulas""
- ""Explanatory variables interactions""""Error terms""; ""The intercept as parameter 1""; ""Updating a model""; ""Linear regression""; ""Plotting a slope""; ""Analysis of variance""; ""Generalized linear models""; ""Generalized additive models""; ""Linear discriminant analysis""; ""Principal component analysis""; ""Clustering""; ""Summary""; ""Chapter 4: Nonlinear Methods""; ""Nonparametric and parametric models""; ""The adsorption and body measures datasets""; ""Theory-driven nonlinear regression""; ""Visually exploring nonlinear relationships""; ""Extending the linear framework""
- ""Polynomial regression""""Performing a polynomial regression in R""; ""Spline regression""; ""Nonparametric nonlinear methods""; ""Kernel regression""; ""Kernel weighted local polynomial fitting""; ""Optimal bandwidth selection""; ""A practical scientific application of kernel regression""; ""Locally weighted polynomial regression and the loess function""; ""Nonparametric methods with the np package""; ""Nonlinear quantile regression""; ""Summary""; ""Chapter 5: Linear Algebra""; ""Matrices and linear algebra""; ""Matrices in R""; ""Vectors in R""; ""Matrix notation""
- ""The physical functioning dataset""""Basic matrix operations""; ""Element-wise matrix operations""; ""Matrix subtraction""; ""Matrix addition""; ""Matrix sweep""; ""Basic matrix-wise operations""; ""Transposition""; ""Matrix multiplication""; ""Matrix inversion""; ""Determinants""; ""Triangular matrices""; ""Matrix decomposition""; ""QR decomposition""; ""Eigenvalue decomposition""; ""Lower upper decomposition""; ""Cholesky decomposition""; ""Singular value decomposition""; ""Applications""; ""Rasch analysis using linear algebra and a paired comparisons matrix""