Statistics in a nutshell

Sarah Boslaugh

Book - 2012

An introduction to statistics covers the concepts of measurement and probability theory, correlation, inferential techniques, and statistical analysis.

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Subjects
Published
Sebastopol, CA : O'Reilly Media 2012, c2013.
Language
English
Main Author
Sarah Boslaugh (-)
Edition
2nd ed
Item Description
"A desktop quick reference"--Cover.
Physical Description
xix, 569 p. : ill. ; 23 cm
Bibliography
Includes bibliographical references (p. 513-525) and index.
ISBN
9781449316822
  • Preface
  • 1. Basic Concepts of Measurement
  • Measurement
  • Levels of Measurement
  • True and Error Scores
  • Reliability and Validity
  • Measurement Bias
  • Exercises
  • 2. Probability
  • About Formulas
  • Basic Definitions
  • Defining Probability
  • Bayes' Theorem
  • Enough Exposition, Let's Do Some Statistics!
  • Exercises
  • 3. Inferential Statistics
  • Probability Distributions
  • Independent and Dependent Variables
  • Populations and Samples
  • The Central Limit Theorem
  • Hypothesis Testing
  • Confidence Intervals
  • p-values
  • The Z-Statistic
  • Data Transformations
  • Exercises
  • 4. Descriptive Statistics and Graphic Displays
  • Populations and Samples
  • Measures of Central Tendency
  • Measures of Dispersion
  • Outliers
  • Graphic Methods
  • Bar Charts
  • Bivariate Charts
  • Exercises
  • 5. Categorical Data
  • The R×C Table
  • The Chi-Square Distribution
  • The Chi-Square 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
  • 6. The t-Test
  • The t Distribution
  • The One-Sample t-Test
  • The Independent Samples t-Test
  • Repeated Measures t-Test
  • Unequal Variance t-Test
  • Exercises
  • 7. The Pearson Correlation Coefficient
  • Association
  • Scatterplots
  • The Pearson Correlation Coefficient
  • The Coefficient of Determination
  • Exercises
  • 8. Introduction to Regression and ANOVA
  • The General Linear Model
  • Linear Regression
  • Analysis of Variance (ANOVA)
  • Calculating Simple Regression by Hand
  • Exercises
  • 9. Factorial ANOVA and ANCOVA
  • Factorial ANOVA
  • ANCOVA
  • Exercises
  • 10. Multiple Linear Regression
  • Multiple Regression Models
  • Exercises
  • 11. Logistic, Multinomial, and Polynomial Regression
  • Logistic Regression
  • Multinomial Logistic Regression
  • Polynomial Regression
  • Overfitting
  • Exercises
  • 12. Factor Analysis, Cluster Analysis, and Discriminant Function Analysis
  • Factor Analysis
  • Cluster Analysis
  • Discriminant Function Analysis
  • Exercises
  • 13. Nonparametric Statistics
  • Between-Subjects Designs
  • Within-Subjects Designs
  • Exercises
  • 14. Business and Quality Improvement Statistics
  • Index Numbers
  • Time Series
  • Decision Analysis
  • Quality Improvement
  • Exercises
  • 15. Medical and Epidemiological Statistic
  • Measures of Disease Frequency
  • Ratio, Proportion, and Rate
  • Prevalence and Incidence
  • Crude, Category-Specific, and Standardized Rates
  • The Risk Ratio
  • The Odds Ratio
  • Confounding, Stratified Analysis, and the Mantel-Haenszel Common Odds Ratio
  • Power Analysis
  • Sample Size Calculations
  • Exercises
  • 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
  • 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
  • 18. Research Design
  • Basic Vocabulary
  • Observational Studies
  • Quasi-Experimental Studies
  • Experimental Studies
  • Gathering Experimental Data
  • Example Experimental Design
  • 19. Communicating with Statistics
  • General Notes
  • 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
  • A. Review of Basic Mathematics
  • B. Introduction to Statistical Packages
  • C. References
  • D. Probability Tables for Common Distributions
  • E. Online Resources
  • F. Glossary of Statistical Terms
  • Index