Interactive Statistics

Table of Contents I: GETTING THE INFORMATION YOU NEED

Data Collection

1.1 Introduction to the Practice of Statistics
1.2 Observational Studies versus Designed Experiments
1.3 Simple Random Sampling
1.4 Other Effective Sampling Methods
1.5 Bias in Sampling
1.6 The Design of Experiments



Chapter Review
Chapter Test
Making an Informed Decision: What College Should I Attend?
Case Study: Chrysalises for Cash



II: DESCRIPTIVE STATISTICS

Organizing and Summarizing Data

2.1 Organizing Qualitative Data
2.2 Organizing Quantitative Data: The Popular Displays
2.3 Additional Displays of Quantitative Data
2.4 Graphical Misrepresentations of Data



Chapter Review
Chapter Test
Making an Informed Decision: Tables or Graphs?
Case Study: The Day the Sky Roared


Numerically Summarizing Data

3.1 Measures of Central Tendency
3.2 Measures of Dispersion
3.3 Measures of Central Tendency and Dispersion from Grouped Data
3.4 Measures of Position
3.5 The Five-Number Summary and Boxplots



Chapter Review
Chapter Test
Making an Informed Decision: What Car Should I Buy?
Case Study: Who Was “A Mourner”?


Describing the Relation Between Two Variables

4.1 Scatter Diagrams and Correlation
4.2 Least-Squares Regression
4.3 Diagnostics on the Least-Squares Regression Line
4.4 Contingency Tables and Association



Chapter Review
Chapter Test
Making an Informed Decision: Relationships Among Variables on a World Scale
Case Study: Thomas Malthus, Population, and Subsistence



III: PROBABILITY AND PROBABILITY DISTRIBUTIONS

Probability

5.1 Probability Rules
5.2 The Addition Rule and Complements
5.3 Independence and the Multiplication Rule
5.4 Conditional Probability and the General Multiplication Rule
5.5 Counting Techniques
5.6 Simulation
5.7 Putting It Together: Which Method Do I Use?



Chapter Review
Chapter Test
Making an Informed Decision: What Are the Effects of Drinking and Driving?
Case Study: The Case of the Body in the Bag


Discrete Probability Distributions

6.1 Discrete Random Variables
6.2 The Binomial Probability Distribution
6.3 The Poisson Probability Distribution



Chapter Review
Chapter Test
Making an Informed Decision: Should We Convict?
Case Study: The Voyage of the St. Andrew


The Normal Probability Distribution

7.1 Properties of the Normal Distribution
7.2 Applications of the Normal Distribution
7.3 Assessing Normality
7.4 The Normal Approximation to the Binomial Probability Distribution



Chapter Review
Chapter Test
Making an Informed Decision: What Stock Do I Pick?
Case Study: A Tale of Blood, Chemistry, and Health



IV: INFERENCE – FROM SAMPLES TO POPULATION

Sampling Distributions

8.1 Distribution of the Sample Mean
8.2 Distribution of the Sample Proportion



Chapter Review
Chapter Test
Making an Informed Decision: How Would You Break Down Your Day?
Case Study: Sampling Distribution of the Median


Estimating the Value of a Parameter Using Confidence Intervals

9.1 Estimating a Population Proportion
9.2 Estimating a Population Mean
9.3 Putting It Together: Which Procedure Do I Use?
9.4 Estimating with Bootstrapping



Chapter Review
Chapter Test
Making an Informed Decision: How Much Should I Spend for this House?
Case Study: When Model Requirements Fail


Hypothesis Tests Regarding a Parameter

10.1 The Language of Hypothesis Testing
10.2A Hypothesis Tests on a Population Proportion with Simulation
10.2B Hypothesis Tests on a Population Proportion Using the Normal Model
10.3A Using Simulation/Bootstrapping in Hypothesis Tests for a Population Mean
10.3B Hypothesis Tests for a Population Mean
10.4 Putting It Together: Which Procedure Do I Use?



Chapter Review
Chapter Test
Making an Informed Decision: Selecting a Mutual Fund
Case Study: How Old Is Stonehenge?


Inference on Two Samples

11.1A Using Randomization Techniques to Compare Two Proportions
11.1 Inference about Two Population Proportions: Independent Samples
11.2A Using Bootstrapping to Conduct Inference on Two Dependent Means
11.2 Inference about Two Population Means: Dependent Samples
11.3A Using Randomization Techniques to Compare Two Independent Means
11.3 Inference about Two Population Means: Independent Samples
11.4 Putting It Together: Which Procedure Do I Use?



Chapter Review
Chapter Test
Making an Informed Decision: Which Car Should I Buy?
Case Study: Control in the Design of Experiment


Inference on Categorical Data

12.1 Goodness-of-Fit Test
12.2 Tests for Independence and the Homogeneity of Proportions
12.3 Inference about Two Population Proportions: Dependent Samples



Chapter Review
Chapter Test
Making an Informed Decision: What Are the Benefits of College?
Case Study: Feeling Lucky? Well, Are You?


Comparing Three or More Means

13.1 Comparing Three or More Means: One-Way Analysis of Variance
13.2 Post-Hoc Tests on One-Way Analysis of Variance



Chapter Review
Chapter Test
Making an Informed Decision: Where Should I Invest?
Case Study: Hat Size and Intelligence


Inference of the Least-Squares Regression Model

14.1A Using Randomization Techniques on the Slope of the Least-Squares Regression Line
14.1 Testing the Significance of the Least-Squares Regression Model
14.2 Confidence and Prediction Intervals



Chapter Review
Chapter Test
Making an Informed Decision: Buying a Home
Case Study: Housing Boom



Appendix A: Tables Appendix B: Lines Appendix C: Additional Topics

C.1 The Normal Approximation to the Binomial Probability Distribution
C.2 Estimating a Population Standard Deviation
C.3 Hypothesis Tests for a Population Standard Deviation