Statistics in a nutshell
Book - 2012
An introduction to statistics covers the concepts of measurement and probability theory, correlation, inferential techniques, and statistical analysis.
Saved in:
- Subjects
- Published
-
Sebastopol, CA :
O'Reilly Media
2012, c2013.
- Language
- English
- Main Author
- 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