Chapter 1  Introduction to Probability and Counting

1.1 Interpreting Probabilities

1.2 Sample Spaces and Events

1.3 Permutations and Combinations

Chapter Summary

Exercises

Review Exercises


Chapter 2  Some Probability Laws

2.1 Axioms of Probability

2.2 Conditional Probability

2.3 Independence and the Multiplication Rule

2.4 Bayes' Theorem

Chapter Summary

Exercises

Review Exercises


Chapter 3  Discrete Distributions

3.1 Random Variables

3.2 Discrete Probablility Densities

3.3 Expectation and Distribution Parameters

3.4 Geometric Distribution and the Moment Generating Function

3.5 Binomial Distribution

3.6 Negative Binomial Distribution

3.7 Hypergeometric Distribution

3.8 Poisson Distribution

Chapter Summary

Exercises

Review Exercises


Chapter 4  Continuous Distributions

4.1 Continuous Densities

4.2 Expectation and Distribution Parameters

4.3 Gamma, Exponential, and ChiSquared Distributions

4.4 Normal Distribution

4.5 Normal Probability Rule and Chebyshev's Inequality

4.6 Normal Approximation to the Binomial Distribution

4.7 Weibull Distribution and Reliability

4.8 Transformation of Variables

4.9 Simulating a Continuous Distribution

Chapter Summary

Exercises

Review Exercises


Chapter 5  Joint Distributions

5.1 Joint Densities and Independence

5.2 Expectation and Covariance

5.3 Correlation

5.4 Conditional Densities and Regression

5.5 Transformation of Variables

Chapter Summary

Exercises

Review Exercises


Chapter 6  Descriptive Statistics

6.1 Random Sampling

6.2 Picturing the Distribution

6.3 Sample Statistics

6.4 Boxplots

Chapter Summary

Exercises

Review Exercises


Chapter 7  Estimation

7.1 Point Estimation

7.2 The Method of Moments and Maximum Likelihood

7.3 Functions of Random VariablesDistribution of X

7.4 Interval Estimation and the Central Limit Theorem

Chapter Summary

Exercises

Review Exercises


Chapter 8  Inferences on the Mean and Variance of a Distribution

8.1 Interval Estimation of Variability

8.2 Estimating the Mean and the Studentt Distribution

8.3 Hypothesis Testing

8.4 Significance Testing

8.5 Hypothesis and Significance Tests on the Mean

8.6 Hypothesis Test on the Variance

8.7 Alternative Nonparametric Methods

Chapter Summary

Exercises

Review Exercises


Chapter 9  Inferences on Proportions

9.1 Estimating Proportions

9.2 Testing Hypothesis on a Proportion

9.3 Comparing Two Proportions Estimation

9.4 Coparing Two Proportions: Hypothesis Testing

Chapter Summary

Exercises

Review Exercises


Chapter 10  Comparing Two Means and Two Variances

10.1 Point Estimation: Independent Samples

10.2 Comparing Variances: The F Distribution

10.3 Comparing Means: Variances Equal (Pooled Test)

10.4 Comparing Means: Variances Unequal

10.5 Compairing Means: Paried Data

10.6 Alternative Nonparametric Methods

10.7 A Note on Technology

Chapter Summary

Exercises

Review Exercises


Chapter 11  Sample Linear Regression and Correlation

11.1 Model and Parameter Estimation

11.2 Properties of LeastSquares Estimators

11.3 Confidence Interval Estimation and Hypothesis Testing

11.4 Repeated Measurements and Lack of Fit

11.5 Residual Analysis

11.6 Correlation

Chapter Summary

Exercises

Review Exercises


Chapter 12  Multiple Linear Regression Models

12.1 LeastSquares Procedures for Model Fitting

12.2 A Matrix Approach to Least Squares

12.3 Properties of the LeastSquares Estimators

12.4 Interval Estimation

12.5 Testing Hypothesis about Model Parameters

12.6 Use of Indicator or "Dummy" Variables (Optional)

12.7 Criteria for Variable Selection

12.8 Model Transformation and Concluding Remarks

Chapter Summary

Exercises

Review Exercises


Chapter 13  Analysis of Variance

13.1 OneWay Classification FixedEffects Model

13.2 Comparing Variances

13.3 Pairwise Comparison

13.4 Testing Contrasts

13.5 Randomized Complete Block Design

13.6 Latin Squares

13.7 RandomEffects Models

13.8 Design Models in Matrix Form

13.9 Alternative Nonparametirc Methods

Chapter Summary

Exercises

Review Exercises


Chapter 14  Factorial Experiments

14.1 TwoFactor Analysis of Variance

14.2 Extension to Three Factors

14.3 Random and Mixed Model Factorial Experiments

14.4 2k Factorial Experiments

14.5 2k Factorial Experiments in an Incomplete Block Design

14.6 Fractional Factorial Experiments

Chapter Summary

Exercises

Review Exercises


Chapter 15  Categorical Data

15.1 Multinomial Distribution

15.2 ChiSquared Goodness of Fit Tests

15.3 Testing for Independence

15.4 Comparing Proportions

Chapter Summary

Exercises

Review Exercises


Chapter 16  Statistical Quality Control

16.1 Properties of Control Charts

16.2 Shewart Control Charts for Measurements

16.3 Shewart Control Charts for Attributes

16.4 Tolerance Limits

16.5 Acceptance Sampling

16.6 TwoStage Acceptance Sampling

16.7 Extensions in Quality Control

Chapter Summary

Exercises

Review Exercies

Appendix A  Statistical Tables

Appendix B  Answers to Selected Problems

Appendix C  Selected Derivations
