Foundations and applications of statistics : an introduction using R / Randall Pruim.

Author/creator Pruim, Randall J.
Format Book
Publication InfoProvidence, R.I. : American Mathematical Society, ©2011.
Descriptionxviii, 615 pages : illustrations ; 27 cm.
Subjects
Mathematical statistics--Data processing.
R (Computer program language)

SeriesPure and applied undergraduate texts ; v. 13
Pure and applied undergraduate texts 13. ^A1010876
Contents Machine generated contents note: ch. 1 Summarizing Data -- 1.1.Data in R -- 1.2.Graphical and Numerical Summaries of Univariate Data -- 1.3.Graphical and Numerical Summaries of Multivariate Data -- 1.4.Summary -- Exercises -- ch. 2 Probability and Random Variables -- 2.1.Introduction to Probability -- 2.2.Additional Probability Rules and Counting Methods -- 2.3.Discrete Distributions -- 2.4.Hypothesis Tests and p-Values -- 2.5.Mean and Variance of a Discrete Random Variable -- 2.6.Joint Distributions -- 2.7.Other Discrete Distributions -- 2.8.Summary -- Exercises -- ch. 3 Continuous Distributions -- 3.1.pdfs and cdfs -- 3.2.Mean and Variance -- 3.3.Higher Moments -- 3.4.Other Continuous Distributions -- 3.5.Kernel Density Estimation -- 3.6.Quantile-Quantile Plots -- 3.7.Joint Distributions -- 3.8.Summary -- Exercises -- ch. 4 Parameter Estimation and Testing -- 4.1.Statistical Models -- 4.2.Fitting Models by the Method of Moments -- 4.3.Estimators and Sampling Distributions -- 4.4.Limit Theorems -- 4.5.Inference for the Mean (Variance Known) -- 4.6.Estimating Variance -- 4.7.Inference for the Mean (Variance Unknown) -- 4.8.Confidence Intervals for a Proportion -- 4.9.Paired Tests -- 4.10.Developing New Tests -- 4.11.Summary -- Exercises -- ch. 5 Likelihood-Based Statistics -- 5.1.Maximum Likelihood Estimators -- 5.2.Likelihood Ratio Tests -- 5.3.Confidence Intervals -- 5.4.Goodness of Fit Testing -- 5.5.Inference for Two-Way Tables -- 5.6.Rating and Ranking Based on Pairwise Comparisons -- 5.7.Bayesian Inference -- 5.8.Summary -- Exercises -- ch. 6 Introduction to Linear Models -- 6.1.The Linear Model Framework -- 6.2.Simple Linear Regression -- 6.3.Inference for Simple Linear Regression -- 6.4.Regression Diagnostics -- 6.5.Transformations in Linear Regression -- 6.6.Categorical Predictors -- 6.7.Categorical Response (Logistic Regression) -- 6.8.Simulating Linear Models to Check Robustness -- 6.9.Summary -- Exercises -- ch. 7 More Linear Models -- 7.1.Additive Models -- 7.2.Assessing the Quality of a Model -- 7.3.One-Way ANOVA -- 7.4.Two-Way ANOVA -- 7.5.Interaction and Higher Order Terms -- 7.6.Model Selection -- 7.7.More Examples -- 7.8.Permutation Tests and Linear Models -- 7.9.Summary -- Exercises -- Appendix A A Brief Introduction to R -- A.1.Getting Up and Running -- A.2.Working with Data -- A.3.Lattice Graphics in R -- A.4.Functions in R -- A.5.Some Extras in the fastR Package -- A.6.More R Topics -- Exercises -- Appendix B Some Mathematical Preliminaries -- B.1.Sets -- B.2.Functions -- B.3.Sums and Products -- Exercises -- Appendix C Geometry and Linear Algebra Review -- C.1.Vectors, Spans, and Bases -- C.2.Dot Products and Projections -- C.3.Orthonormal Bases -- C.4.Matrices -- Exercises -- Appendix D Review of Chapters 1-4 -- D.1.R Infrastructure -- D.2.Data -- D.3.Probability Basics -- D.4.Probability Toolkit -- D.5.Inference -- D.6.Important Distributions -- Exercises.
Bibliography noteIncludes bibliographical references and index.
LCCN 2010041197
ISBN9780821852330 (alk. paper)
ISBN0821852337 (alk. paper)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QA276.45.R3 P78 2011 ✔ Available Place Hold