Elementary Statistics

1. Introduction to Statistics

1-1 Overview

1-2 Types of Data

1-3 Critical Thinking

1-4 Design of Experiments

 

2. Summarizing and Graphing Data

2-1 Overview

2-2 Frequency Distributions

2-3 Histograms

2-4 Statistical Graphics

 

3. Statistics for Describing, Exploring, and Comparing Data

3-1 Overview

3-2 Measures of Center

3-3 Measures of Variation

3-4 Measures of Relative Standing

3-5 Exploratory Data Analysis (EDA)

 

4. Probability

4-1 Overview

4-2 Fundamentals

4-3 Addition Rule

4-4 Multiplication Rule: Basics

4-5 Multiplication Rule: Complements and Conditional Probability

4-6 Probabilities Through Simulations

4-7 Counting

4-8 Bayes’ Theorem (on CD-ROM)

 

5. Probability Distributions

5-1 Overview

5-2 Random Variables

5-3 Binomial Probability Distributions

5-4 Mean, Variance, and Standard Deviation for the Binomial Distribution

5-5 The Poisson Distribution

 

6. Normal Probability Distributions

6-1 Overview

6-2 The Standard Normal Distribution

6-3 Applications of Normal Distributions

6-4 Sampling Distributions and Estimators

6-5 The Central Limit Theorem

6-6 Normal as Approximation to Binomial

6-7 Assessing Normality

 

7. Estimates and Sample Sizes

7-1 Overview

7-2 Estimating a Population Proportion

7-3 Estimating a Population Mean: s Known

7-4 Estimating a Population Mean: s Not Known

7-5 Estimating a Population Variance

 

8. Hypothesis Testing

8-1 Overview

8-2 Basics of Hypothesis Testing

8-3 Testing a Claim about a Proportion

8-4 Testing a Claim about a Mean: s Known

8-5 Testing a Claim about a Mean: s Not Known

8-6 Testing a Claim about Variation

 

9. Inferences from Two Samples

9-1 Overview

9-2 Inferences about Two Proportions

9-3 Inferences about Two Means: Independent Samples

9-4 Inferences from Matched Pairs

9-5 Comparing Variation in Two Samples

 

10. Correlation and Regression

10-1 Overview

10-2 Correlation

10-3 Regression

10-4 Variation and Prediction Intervals

10-5 Multiple Regression

10-6 Modeling

 

11. Multinomial Experiments and Contingency Tables

11-1 Overview

11-2 Multinomial Experiments: Goodness-of-Fit

11-3 Contingency Tables: Independence and Homogeneity

11-4 McNemar’s Test for Matched Pairs

 

12. Analysis of Variance

12-1 Overview

12-2 One-Way ANOVA

12-3 Two-Way ANOVA

 

13. Nonparametric Statistics

13-1 Overview

13-2 Sign Test

13-3 Wilcoxon Signed-Ranks Test for Matched Pairs

13-4 Wilcoxon Rank-Sum Test for Two Independent Samples

13-5 Kruskal-Wallis Test

13-6 Rank Correlation

13-7 Runs Test for Randomness

 

14. Statistical Process Control

14-1 Overview

14-2 Control Charts for Variation and Mean

14-3 Control Charts for Attributes

 

15. Projects, Procedures, Perspectives

15-1 Projects

15-2 Procedure

15-3 Perspective

 

Appendices

Appendix A: Tables

Appendix B: Data Sets

Appendix C: Glossary

Appendix D: Bibliography

Appendix E: Answers to Odd-Numbered Exercises (and All Review Exercises and All Cumulative Review Exercises)

 

Credits

Index