Cover image for Statistics and data with R : an applied approach through examples
Title:
Statistics and data with R : an applied approach through examples
Personal Author:
Publication Information:
Chichester, UK : Wiley, 2008
Physical Description:
xviii, 599 p. : ill. ; 25 cm.
ISBN:
9780470758052
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30000010201337 QA276.45.R3 C63 2008 Open Access Book Book
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Summary

Summary

R, an Open Source software, has become the de facto statistical computing environment. It has an excellent collection of data manipulation and graphics capabilities. It is extensible and comes with a large number of packages that allow statistical analysis at all levels - from simple to advanced - and in numerous fields including Medicine, Genetics, Biology, Environmental Sciences, Geology, Social Sciences and much more. The software is maintained and developed by academicians and professionals and as such, is continuously evolving and up to date. Statistics and Data with R presents an accessible guide to data manipulations, statistical analysis and graphics using R.

Assuming no previous knowledge of statistics or R, the book includes:

A comprehensive introduction to the R language. An integrated approach to importing and preparing data for analysis, exploring and analyzing the data, and presenting results. Over 300 examples, including detailed explanations of the R scripts used throughout. Over 100 moderately large data sets from disciplines ranging from Biology, Ecology and Environmental Science to Medicine, Law, Military and Social Sciences. A parallel discussion of analyses with the normal density, proportions (binomial), counts (Poisson) and bootstrap methods. Two extensive indexes that include references to every R function (and its arguments and packages used in the book) and to every introduced concept.


Author Notes

In the 30 years he has been teaching, Professor Cohen has taught a range of subjects from ecology and computer programming to statistics and data analysis with R. The recipient of numerous research grants, he is also the author and co-author of dozens of articles published in a wide range of journals, and has contributed chapters to a number of edited texts. He has also edited and authored four books.


Reviews 1

Choice Review

This interesting, useful, and understandable book by Yosef Cohen (Univ. of Minnesota) and Jeremiah Cohen (Vanderbilt) presents statistical concepts/techniques using examples from diverse fields including medicine, social sciences, biology, ecology, environmental sciences, law, and the military. The self-contained, three-part work requires no prior knowledge of statistics or R. Part 1 explains how to work with R, a flexible program useful for analyzing all sorts of data arising in numerous scientific areas. Part 2 addresses probability, random variables, and their distributions, including most standard discrete and continuous probability distributions, and standard sampling distributions of estimators. Part 3 starts with exploratory data analysis, then discusses estimating parameters, testing hypotheses, and power and sample size involving both one and two samples. It also includes a discussion of simple linear regression, analysis of variance, and simple logistic regression. The final chapter, " ... The Shape of Wars to Come," statistically analyzes the Iraq war and the second Intifada. Chapters contain problem sets obtained from different disciplines. The book also provides a good list of references, two indexes, one pertaining to R, the other related to subject matter/concepts, and an accompanying Web site. The carefully selected examples (over 300) from different disciplines bring clarity to otherwise difficult, complex statistical concepts. Summing Up: Highly recommended. Upper-division undergraduates, researchers/faculty, and professionals/practitioners. D. V. Chopra Wichita State University


Table of Contents

Preface
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