Description
Book SynopsisProvides a comprehensive practical guide to the broadly used statistical language of R assuming no previous knowledge of either statistics or R. A unique focus allows unprecedented coverage of the preparation of data for the application of statistical methods, and the presentation of the results, as well as the statistical applications themselves.
Trade Review"The overall presentation is clear and it is very well motivated. ... The text covers a wide range of subjects and is a useful tool for graduate students, practitioners and those interested in statistical computing." (
Journal of Applied Statistics, February 2010)
"The carefully selected examples (over 300) from different disciplines bring clarity to otherwise difficult, complex statistical concepts. Summing Up: Highly recommended." (CHOICE, July 2009)
"This book will most certainly be of great use to upper undergraduate and first-year graduate students or anyone starting to use R for some applied project." (MAA Reviews, April 2009)
Table of ContentsPreface.
Part I: Data in statistics and R.
1. Basic R.
1.1 Preliminaries.
1.2 Modes.
1.3 Vectors.
1.4 Arithmetic operators and special values.
1.5 Objects.
1.6 Programming.
1.7 Packages.
1.8 Graphics.
1.9 Customizing the workspace.
1.10 Projects.
1.12 Assignments.
2. Data in statistics and in R.
2.1 Types of data.
2.2 Objects that hold data.
2.3 Data organization.
2.4 Data import, export and connections.
2.5 Data manipulation.
2.6 Manipulating strings.
2.7 Assignments.
3. Presenting data.
3.1 Tables and the flavors of apply ()
3.2 Bar plots.
3.3 Histograms.
3.4 Dot charts.
3.5 Scatter plots.
3.6 Lattice plots.
3.7 Three-dimensional plots and contours.
3.8 Assignments.
Part II: Probability, densities and distributions.
4. Probability and random variables.
4.1 Set theory.
4.2 Trials, events and experiments.
4.3 Definitions and properties of probability.
4.4 Conditional probability and independence.
4.5 Algebra with probabilities.
4.6 Random variables.
4.7 Assignments.
5. Discrete densities and distributions.
5.1 Densities.
5.2 Distribution.
5.3 Properties.
5.4 Expected values.
5.5 Variance and standard deviation.
5.6 The binomial.
5.7 The Poisson.
5.8 Estimating parameters.
5.9 Some useful discrete densities.
5.10 Assignments.
6. Continuous distributions and densities.
6.1 Distributions.
6.2 Densities.
6.3 Properties.
6.4 Expected values.
6.5 Variance and standard deviation.
6.6 Areas under density curves.
6.7 Inverse distributions and simulations.
6.8 Some useful continuous densities.
6.9 Assignments.
7. The normal and sampling densities.
7.1 The normal density.
7.2 Applications of the normal.
7.3 Data transformations.
7.4 Random samples and sampling densities.
7.5 A detour: using R efficiently.
7.6 The sampling density of the mean.
7.7 The sampling density of proportion.
7.8 The sampling density of intensity.
7.9 The sampling density of variance.
7.10 Bootstrap: arbitrary parameters of arbitrary densities.
7.11 Assignments.
Part III: Statistics.
8. Exploratory data analysis.
8.1 Graphical methods.
8.2 Numerical summaries.
8.3 Visual summaries.
8.4 Assignments.
9. Point and interval estimation.
9.1 Point estimation.
9.2 Interval estimation.
9.3 Point and interval estimation for arbitrary densities.
9.4 Assignments.
10. Single sample hypotheses testing.
10.1 Null and alternative hypotheses.
10.2 Large sample hypothesis testing.
10.3 Small sample hypotheses testing.
10.4 Arbitrary parameters of arbitrary densities.
10.5 p-values.
10.6 Assignments.
11. Power and sample size for single samples.
11.1 Large sample.
11.2 Small samples.
11.3 Power and sample size for arbitrary densities.
11.4 Assignments.
12. Two samples.
12.1 Large samples.
12.2 Small samples.
12.3 Unknown densities.
12.4 Assignments.
13. Power and sample size for two samples.
13.1 Two means from normal populations.
13.2 Two proportions.
13.3 Two rates.
13.4 Assignments.
14. Simple linear regression.
14.1 Simple linear models.
14.2 Estimating regression coefficients.
14.3 The model goodness of fit.
14.4 Hypothesis testing and confidence intervals.
14.5 Model assumptions.
14.6 Model diagnostics.
14.7 Power and sample size for the correlation coefficient.
14.8 Assignments.
15. Analysis of variance.
15.1 One-way, fixed-effects ANOVA.
15.2 Non-parametric one-way ANOVA.
15.3 One-way, random-effects ANOVA.
15.4 Two-way ANOVA.
15.5 Two-way linear mixed effects models.
15.6 Assignments.
16. Simple logistic regression.
16.1 Simple binomial logistic regression.
16.2 Fitting and selecting models.
16.3 Assessing goodness of fit.
16.4 Diagnostics.
16.5 Assignments.
17. Application: the shape of wars to come.
17.1 A statistical profile of the war in Iraq.
17.2 A statistical profile of the second Intifada.
References.
R Index.
General Index.
