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Mostly Harmless Statistics
This text is for an introductory level probability and statistics course with an intermediate algebra prerequisite. The focus of the text follows the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE).
- Author
- Rachel L. Webb
- Publisher
- Portland State University
- Source
- LibreTexts
- License
- CC BY-SA
- Language
- EN
- Category
- Basic Sciences
Contents· 101 sections
- 01: Introduction to Data
- 1.01: Introduction
- 1.02: Samples vs. Populations
- 1.03: Collecting Data and Sampling Techniques
- 1.04: Chapter 1 Exercises
- 02: Organizing Data
- 2.01: Introduction
- 2.02: Tabular Displays
- 2.03: Graphical Displays
- 2.04: Chapter 2 Exercises
- 03: Descriptive Statistics
- 3.01: Measures of Center
- 3.02: Measures of Spread
- 3.03: Measures of Placement
- 3.04: Chapter 3 Formulas
- 3.05: Chapter 3 Exercises
- 04: Probability
- 4.01: Introduction
- 4.02: Three Types of Probability
- 4.03: Complement Rule
- 4.04: Union and Intersection
- 4.05: Independent Events
- 4.06: Conditional Probability
- 4.07: Counting Rules
- 4.08: Chapter 4 Formulas
- 4.09: Chapter 4 Exercises
- 05: Discrete Probability Distributions
- 5.01: Introduction
- 5.02: Discrete Probability Distributions
- 5.03: Geometric Distributions
- 5.04: Binomial Distribution
- 5.05: Hypergeometric Distribution
- 5.06: Poisson Distribution
- 5.07: Chapter 5 Exercises
- 5.08: Chapter 5 Formulas
- 06: Continuous Probability Distributions
- 6.01: Introductions
- 6.02: Uniform Distribution
- 6.03: Exponential Distribution
- 6.04: Normal Distribution
- 6.05: The Central Limit Theorem
- 6.06: Chapter 6 Exercises
- 6.07: Chapter 6 Formulas
- 07: Confidence Intervals for One Population
- 7.01: Introduction
- 7.02: Confidence Interval for a Proportion
- 7.03: Sample Size Calculation for a Proportion
- 7.04: Z-Interval for a Mean
- 7.05: Interpreting a Confidence Interval
- 7.06: Sample Size for a Mean
- 7.07: t-Interval for a Mean
- 7.08: Chapter 7 Exercises
- 7.09: Chapter 7 Formulas
- 08: Hypothesis Tests for One Population
- 8.01: Introduction
- 8.02: Type I and II Errors
- 8.03: Hypothesis Test for One Mean
- 8.04: Hypothesis Test for One Proportion
- 8.05: Chapter 8 Exercises
- 8.06: Chapter 8 Formulas
- 09: Hypothesis Tests and Confidence Intervals for Two Populations
- 9.01: Two Sample Mean T-Test for Dependent Groups
- 9.02: Two Independent Groups
- 9.03: Two Proportion Z-Test and Confidence Interval
- 9.04: Two Variance or Standard Deviation F-Test
- 9.05: Chapter 9 Exercises
- 9.06: Chapter 9 Formulas
- 10: Chi-Square Tests
- 10.01: Chi-Square Distribution
- 10.02: Goodness of Fit Test
- 10.03: Test for Independence
- 10.04: Chapter 10 Formulas
- 10.05: Chapter 10 Exercises
- 11: Analysis of Variance
- 11.01: One-Way ANOVA
- 11.02: Pairwise Comparisons of Means (Post-Hoc Tests)
- 11.03: Two-Way ANOVA (Factorial Design)
- 11.04: Chapter 11 Formulas
- 11.05: Chapter 11 Exercises
- 12: Correlation and Regression
- 12.01: Correlation
- 12.1.01: Scatterplots
- 12.1.02: Hypothesis Test for a Correlation
- 12.02: Simple Linear Regression
- 12.2.01: Hypothesis Test for Linear Regression
- 12.2.02: Residuals
- 12.2.03: Coefficient of Determination
- 12.2.04: Prediction
- 12.2.05: Outliers
- 12.2.06: Conclusion - Simple Linear Regression
- 12.03: Multiple Linear Regression
- 12.04: Chapter 12 Formulas
- 12.05: Chapter 12 Exercises
- 13: Nonparametric Tests
- 13.01: Advantages and Disadvantages of Nonparametric Methods
- 13.02: Sign Test
- 13.03: Ranking Data
- 13.04: Wilcoxon Signed-Rank Test
- 13.05: Mann-Whitney U Test
- 13.06: Chapter 13 Formulas
- 13.07: Chapter 13 Exercises