Statistics in a Nutshell, 2nd Edition
A Desktop Quick Reference
Publisher: O'Reilly Media
Release Date: November 2012
Pages: 594
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Need to learn statistics for your job? Want help passing a statistics course? Statistics in a Nutshell is a clear and concise introduction and reference for anyone new to the subject. Thoroughly revised and expanded, this edition helps you gain a solid understanding of statistics without the numbing complexity of many college texts.
Each chapter presents easytofollow descriptions, along with graphics, formulas, solved examples, and handson exercises. If you want to perform common statistical analyses and learn a wide range of techniques without getting in over your head, this is your book.
 Learn basic concepts of measurement and probability theory, data management, and research design
 Discover basic statistical procedures, including correlation, the ttest, the chisquare and Fisher’s exact tests, and techniques for analyzing nonparametric data
 Learn advanced techniques based on the general linear model, including ANOVA, ANCOVA, multiple linear regression, and logistic regression
 Use and interpret statistics for business and quality improvement, medical and public health, and education and psychology
 Communicate with statistics and critique statistical information presented by others
Table of Contents

Chapter 1 Basic Concepts of Measurement

Measurement

Levels of Measurement

True and Error Scores

Reliability and Validity

Measurement Bias

Exercises


Chapter 2 Probability

About Formulas

Basic Definitions

Defining Probability

Bayes’ Theorem

Enough Exposition, Let’s Do Some Statistics!

Exercises


Chapter 3 Inferential Statistics

Probability Distributions

Independent and Dependent Variables

Populations and Samples

The Central Limit Theorem

Hypothesis Testing

Confidence Intervals

pvalues

The ZStatistic

Data Transformations

Exercises


Chapter 4 Descriptive Statistics and Graphic Displays

Populations and Samples

Measures of Central Tendency

Measures of Dispersion

Outliers

Graphic Methods

Bar Charts

Bivariate Charts

Exercises


Chapter 5 Categorical Data

The R×C Table

The ChiSquare Distribution

The ChiSquare Test

Fisher’s Exact Test

McNemar’s Test for Matched Pairs

Proportions: The Large Sample Case

Correlation Statistics for Categorical Data

The Likert and Semantic Differential Scales

Exercises


Chapter 6 The tTest

The t Distribution

The OneSample tTest

The Independent Samples tTest

Repeated Measures tTest

Unequal Variance tTest

Exercises


Chapter 7 The Pearson Correlation Coefficient

Association

Scatterplots

The Pearson Correlation Coefficient

The Coefficient of Determination

Exercises


Chapter 8 Introduction to Regression and ANOVA

The General Linear Model

Linear Regression

Analysis of Variance (ANOVA)

Calculating Simple Regression by Hand

Exercises


Chapter 9 Factorial ANOVA and ANCOVA

Factorial ANOVA

ANCOVA

Exercises


Chapter 10 Multiple Linear Regression

Multiple Regression Models

Exercises


Chapter 11 Logistic, Multinomial, and Polynomial Regression

Logistic Regression

Multinomial Logistic Regression

Polynomial Regression

Overfitting

Exercises


Chapter 12 Factor Analysis, Cluster Analysis, and Discriminant Function Analysis

Factor Analysis

Cluster Analysis

Discriminant Function Analysis

Exercises


Chapter 13 Nonparametric Statistics

BetweenSubjects Designs

WithinSubjects Designs

Exercises


Chapter 14 Business and Quality Improvement Statistics

Index Numbers

Time Series

Decision Analysis

Quality Improvement

Exercises


Chapter 15 Medical and Epidemiological Statistics

Measures of Disease Frequency

Ratio, Proportion, and Rate

Prevalence and Incidence

Crude, CategorySpecific, and Standardized Rates

The Risk Ratio

The Odds Ratio

Confounding, Stratified Analysis, and the MantelHaenszel Common Odds Ratio

Power Analysis

Sample Size Calculations

Exercises


Chapter 16 Educational and Psychological Statistics

Percentiles

Standardized Scores

Test Construction

Classical Test Theory: The True Score Model

Reliability of a Composite Test

Measures of Internal Consistency

Item Analysis

Item Response Theory

Exercises


Chapter 17 Data Management

An Approach, Not a Set of Recipes

The Chain of Command

Codebooks

The Rectangular Data File

Spreadsheets and Relational Databases

Inspecting a New Data File

String and Numeric Data

Missing Data


Chapter 18 Research Design

Basic Vocabulary

Observational Studies

QuasiExperimental Studies

Experimental Studies

Gathering Experimental Data

Example Experimental Design


Chapter 19 Communicating with Statistics

General Notes


Chapter 20 Critiquing Statistics Presented by Others

Evaluating the Whole Article

The Misuse of Statistics

Common Problems

Quick Checklist

Issues in Research Design

Descriptive Statistics

Inferential Statistics


Appendix Review of Basic Mathematics

Laws of Arithmetic

Properties of Real Numbers

Exponents and Roots

Solving Equations

Systems of Equations

Graphing Equations

Linear Inequalities

Fractions

Factorials, Permutations, and Combinations

Exercises

Answers


Appendix Introduction to Statistical Packages

Minitab

SPSS

SAS

R

Microsoft Excel


Appendix References

Preface and General Sources

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Chapter 11

Chapter 12

Chapter 13

Chapter 14

Chapter 15

Chapter 16

Chapter 17

Chapter 18

Chapter 19

Chapter 20


Appendix Probability Tables for Common Distributions

The Standard Normal Distribution

The tDistribution

The Binomial Distribution

The ChiSquare Distribution


Appendix Online Resources

General Resources

Glossaries

Probability Tables

Online Calculators

Online Textbooks


Appendix Glossary of Statistical Terms

Colophon