Introduction to Statistics

PART I LEARNING CHECKS

PART II LEARNING CHECK

 

PART III LEARNING CHECKS

 

PART IV LEARNING CHECK

 

0. INTRODUCTION: DEFINITION AND USES OF STATISTICS

 

PART I

1. Looking at Data: Distributions

 

1.1 Displaying Distributions

1.2 Describing Distributions

1.3 The Normal Distributions

2. Looking at Data: Relationships

 

2.1 Scatterplots

2.2 Correlation

2.3 Least-Squares Regression

2.4 Cautions about Regression and Correlation

2.5 The Question of Causation

3. Producing Data

 

3.1 First Steps

3.2 Design of Experiments

3.3 Sampling Design

3.4 Toward Statistical Inference

 

PART II

 

4. Probability: The Study of Randomness

 

4.1 Randomness

4.2 Probability Models

4.3 Random Variables

4.4 Mean and Variances of Random Variables

4.5 Probability Laws

5. From Probability to Inference

 

5.1 Counts and Proportions

5.2 Sample Means

 

PART III

 

6. Introduction to Inference

 

6.1 Estimating with Confidence

6.2 Tests of Significance

6.3 Use and Abuse of Tests

7. Inference for Distributions

 

7.1 Inference for the Mean of a Population

7.2 Comparing Two Means

8. Inference for Count Data

   

8.1 Inference for a Single Proportion

8.2 Comparing Two Proportions

9. Inference for Two-Way Tables

   

9.1 Inference for Two-Way Tables

9.2 Formulas and Models for Two-Way Tables

 

PART IV

 

10. Inference for Regression

 
 

10.1 Simple Linear Regresion

11. Multiple Regression

12. One-Way Analysis of Variance

13. Two-Way Analysis of Variance

14. Nonparametric Tests

 
     

14.1 Wilcoxon Rank Sum Test

14.2 The Wilcoxon Signed Rank Test

14.3 The Kruskal-Wallace Test