Richard M. Heiberger, Burt Holland

Statistical Analysis and Data Display (eBook, PDF)

An Intermediate Course with Examples in R

• Format: PDF

Produktbeschreibung

This contemporary presentation of statistical methods features

extensive use of graphical displays for exploring data and for

displaying the analysis. The authors demonstrate how to analyze

data-showing code, graphics, and accompanying tabular listings-for

all the methods they cover. They emphasize how to construct and

interpret graphs. They discuss principles of graphical design. They

identify situations where visual impressions from graphs may need

confirmation from traditional tabular results. All chapters have

exercises.

The authors provide and discuss R functions for all the new graphical

display formats. All graphs and tabular output in the book were

constructed using these functions. Complete R scripts for all examples

and figures are provided for readers to use as models for their own

analyses.

This book can serve as a standalone text for statistics majors at the

master's level and for other quantitatively oriented disciplines at

the doctoral level, and as a reference book for researchers. In-depth

discussions of regression analysis, analysis of variance, and design

of experiments are followed by introductions to analysis of discrete

bivariate data, nonparametrics, logistic regression, and ARIMA time

series modeling. The authors illustrate classical concepts and

techniques with a variety of case studies using both newer graphical

tools and traditional tabular displays.

The Second Edition features graphs that are completely redrawn using

the more powerful graphics infrastructure provided by R's lattice

package. There are new sections in several of the chapters, revised

sections in all chapters and several completely new appendices.

New graphical material includes:

. an expanded chapter on graphics;

. a section on graphing Likert Scale Data to build on the importance of

rating scales in fields from population studies to psychometrics;

. a discussion on design of graphics that will work for readers with

color-deficient vision;

. an expanded discussion on the design of multi-panel graphics;

. expanded and new sections in the discrete bivariate statistics chapter

on the use of mosaic plots for contingency tables including the n×2×2

tables for which the Mantel-Haenszel-Cochran test is appropriate;

. an interactive (using the shiny package) presentation of the graphics

for the normal and t-tables that is introduced early and used in many

chapters.

The new appendices include discussions of R, the HH package

designed for R (the material in the HH package was distributed as a

set of standalone functions with the First Edition of this book), the

R Commander package, the RExcel system, the shiny package, and a

minimal discussion on writing R packages. There is a new appendix on

computational precision illustrating and explaining the FAQ

(Frequently Asked Questions) about the differences between the

familiar real number system and the less-familiar floating point

system used in computers. The probability distributions appendix has

been expanded to include more distributions (all the distributions in

base R) and to include graphs of each. The editing appendix from the

First Edition has been split into four expanded appendices-on working

style, writing style, use of a powerful editor, and use of LaTeX for

document preparation.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 898
• Erscheinungstermin: 23. Dezember 2015
• Englisch
• ISBN-13: 9781493921225
• Artikelnr.: 44485516

Autorenporträt

Richard M. Heiberger is Professor Emeritus in the Department of Statistics of Temple University, an elected Fellow of the American Statistical Association, and a former Chair of the Section on Statistical Computing of the American Statistical Association. He was Graduate Chair for the Department of Statistics and Acting Associate Vice Provost for the University. He participated in the design of the linear model and analysis of variance functions while on research leave at Bell Labs. He has taught short courses at the Joint Statistics Meetings, the American Statistical Association Conference on Statistical Practice, the R Users Conference, and the Deming Conference on Applied Statistics. He has consulted with several pharmaceutical companies.

Burt Holland was Professor in the Department of Statistics of Temple University, an elected Fellow of the American Statistical Association, Chair of the Department of Statistics of Temple University, and Chair of Collegial Assembly of the Fox School. He has taught short courses at the Joint Statistics Meetings and the Deming Conference on Applied Statistics. He has made many contributions to linear modeling and simultaneous statistical inference. He frequently served as consultant to medical investigators. He developed a very popular General Education course on Statistics and the News.

Inhaltsangabe

- Introduction

- Data and Statistics

- Statistics Concepts

- Graphs

- Introductory Inference

- One-Way Analysis of Variance

- Multiple Comparisons

- Linear Regression by Least Squares

- Multiple Regression

- Two-Way Analysis of Variance

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1 Introduction and Motivation.- 2 Data and Statistics.- 3 Statistics Concepts.- 4 Graphs.- 5 Introductory Inference.- 6 One-Way Analysis of Variance.- 7 Multiple Comparisons.- 8 Linear Regression by Least Squares.- 9 Multiple Regression-More Than One Predictor.- 10 Multiple Regression-Dummy Variables and Contrasts.- 11 Multiple Regression-Regression Diagnostics.- 12 Two-Way Analysis of Variance.- 13 Design of Experiments-Factorial Designs.- 14 Design of Experiments-Complex Designs.- 15 Bivariate Statistics-Discrete Data.- 16 Nonparametrics.- 17 Logistic Regression.- 18 Time Series Analysis.- A Software.- A.1 Statistical Software.- A.2 Text Editing Software.- A.2.1 Emacs.- A.2.2 Microsoft Word.- A.3 Word Processing Software.- A.3.2 Microsoft Word.- A.4 Graphics Display Software.- A.5 Operating Systems.- A.6 Mathematical Fonts.- A.7 Directory Structure.- A.7.1 HOME Directory.- A.7.2 HH Book Online Files.- B.1 Create Your Working Directory and Make the HH Library Available.- B.1.3 Windows and R.- B.1.6 Unix and R.- B.4 HH Library Functions.- B.5 Learning the S Language.- B.6 S Language Style.- C SAS.- C.1 Make the HH Library Available.- C.1.1 Windows.- C.1.2 Unix.- C.2 Using SAS with HH.- C.2.1 Reading HH Datasets.- C.2.2 Any Other Data Files.- C.2.3 ASCII Data Files with TAB Characters.- C.2.4 Windows and Unix EOL (End-of-Line) Conventions.- C.3 Macros.- C.4 Learning the SAS Language.- C.5 SAS Coding Conventions.- D Probability Distributions.- D.1.1 An Example Involving Calculations with the Binomial Distribution.- D.2 Noncentral Probability Distributions.- E Editors.- E.1 Working Style.- E.2 Typography.- E.3 Emacs and ESS.- E.3.1 ESS.- E.3.2 Mouse and Keyboard.- E.3.3 Learning Emacs.- E.3.4 Requirements.- E.4 Microsoft Word.- E.4.1 Learning Word.- E.4.2Requirements 6.- E.5 Microsoft Excel.- E.5.1 Database Management.- E.5.2 Organizing Calculations.- E.5.3 Excel as a Statistical Calculator.- E.6 Exhortations, Some of Which Are Writing Style.- E.6.1 Writing Style.- E.6.2 Programming Style and Common Errors.- E.6.3 Presentation of Results.- F Mathematics Preliminaries.- F.1 Algebra Review.- F.2 Elementary Differential Calculus.- F.3 An Application of Differential Calculus.- F.4 Topics in Matrix Algebra.- F.4.1 Elementary Operations.- F.4.2 Linear Independence.- F.4.3 Rank.- F.4.4 Quadratic Forms.- F.4.5 Orthogonal Transformations.- F.4.6 Orthogonal Basis.- F.4.8 Matrix Factorization-Cholesky.- F.4.9 Orthogonal Polynomials.- F.4.10 Projection Matrices.- F.4.11 Geometry ot Mlatrices.- F.4.12 Eigenvalues and Eigenvectors.- F.4.13 Singular Value Decomposition.- F.4.14 Generalized Inverse.- F.4.15 Solving Linear Equations.- F.5 Combinations and Permutations.- F.5.1 Factorial.- F.5.2 Permutations.- F.5.3 Combinations.- F.6 Exercises.- G Graphs Based on Cartesian Products.- G.1 Structured Sets of Graphs.- G.1.1 Cartesian Products.- G.1.2 Trellis Paradigm.- G.2 Scatterplot Matrices: splom and xysplom.- G.3 Cartesian Products of Sets of Functions.- G.4 Graphs Requiring Multiple Calls to xysplom.- G.5 Asymmetric Roles for the Row and Column Sets.- G.6 Rotated Plots.- G.7 Squared Residual Plots.- G.8 Alternate Presentations.- References.- List of Datasets.

Rezensionen

"It is a thorough and self-contained book. Keeping with the spirit with earlier edition, the second edition is well organized and structured and builds on statistical knowledge and its appreciation in a logical and concise manner. The book provides a host of useful topics and techniques for students in the niche of statistical analysis and data display. The book can adopted as textbook for an intermediate level statistics course." (S. E. Ahmed, Technometrics, Vol. 58 (3), August, 2016)

From the reviews:

"Heiberger and Holland have produced a comprehensive, well-presented review of essential statistical topics...this is an excellent book for suppporting advanced undergraduate courses on statsitics or data analysis [and] a valuable reference source to researchers..." Biomedical Engineering Online, 2005, 4:18

"Overall, I am impressed with this book and recommend it for graduate statistical methods courses where S-PLUS, R, or SAS is used. There is good incorporation of software tools that complement the statsitical methods presented that go beyond what most statistical methods books provide, a very broad range of topics is covered with examples representing many disciplines, and the emphasis of graphing and presentation of data is excellent." Technometrics, August 2005

"Discussion of each topic begins with a clear and easy-to-read presentation of the relevant theory at a level that statistics majors (and nonmajors) would enjoy..." The American Statistician, August 2005

"Throughout the book, statistical theory is kept to a minimum, and statistical concepts and methods are well stated, without lengthy derivations of formulas, but with the aid of graphical displays. Many examples are provided to illustrate the use of statistical methods. Exercise problems are well written and will be good practice for readers." Biometrics, December 2005

"A notable aspect of this book is the strong emphasis given to presenting data using graphical displays as well as the instructions and programs provided to create these displays in ... . The authors' great emphasis on graphical methods ... of the existing statistical methods books. I am impressed with this book and recommend it for graduate statistical methods courses where S-PLUS, R, or SAS is used. There is good incorporation of software tools .... The emphasis of graphing and presentation of data is excellent." (Theresa L. Utlaut,Technometrics, Vol. 47 (3), August, 2005)

"The statistical analysis in the book is taught on interesting real examples. ... the analysis is quite deep. An extraordinary care is devoted to graphical presentation of results. Many of the graphical formats are novel. ... appendices to the book contain useful remarks on statistical software, typography, and a review of fundamental mathematical concepts. A reader who studies the book and repeats the authors' calculations gains basic statistical skill and knowledge of software for solving similar problems in applications." (EMS - European Mathematical Society Newsletter, December, 2004)

"This is a huge book with huge aims - and the authors managed to get it done. ... is a modern textbook on many statistical methods including theory, with many well selected examples, and with code written for appropriate statistical software ... . It is nice to see a book that tries to explain methods together with the usage of two widely used statistical software systems, namely SAS and the S language. This comprehensive book is a nice all rounder for statistics students ... ." (Uwe Ligges, Statistical Papers, Vol. 47, 2005)

"Although this book is aimed at postgraduate students, it would be equally valuable for non-specialists ... . This book is a review of the most widely used areas of statistics ... . A good feature of this book is that all the datasets used are freely available in online files ... . Therefore, it is possible to carry out the analyses yourself ... . There are many examples, which are well chosen to illustrate the points being made." (D. A. Goodwin, Journal of Applied Statistics, Vol. 33 (7), August, 2006)

"The authors present the book as a 'standalone text for a contemporary year-long course in statistical methods' ... . the core material is of high standard, and the book also brings scientific contributions in terms of novel graph types. ... my overall impression of the book isvery good. I believe that the authors have managed to balance innovativeness and accessibility ... . it is both a valid textbook for students and teachers alike, and a useful reference book for practitioners." (Gaj Vidmar, ISCB News, Issue 41, June, 2006)