Statistics

Chapter 1: Descriptive Statistics

1.1: What is Statistics + Applications

1.2: Populations, Samples, and Processes

1.3: Pictorial ad Tabular Methods in Descriptive Statistics

1.4: Measures of Location

1.5: Measures of Variability

Chapter 2: Probability

2.1: Sample Spaces and Events

2.2: Axioms, Interpretations, and Properties of Probability

2.3: Counting Techniques

2.4: Conditional Probability

2.5: Independence

Chapter 3: Discrete Random Variables and Probability Distributions

3.1: Random Variables

3.2: Probability Distributions for Discrete Random Variables

3.3: Expected Values

3.4: Binomial Probability Distribution

3.5: Hypergeometric and Negative Binomial Distributions

3.6: Poisson Probability Distribution

Chapter 4: Continuous Random Variables and Probability Distributions

4.1: Probability Density Functions

4.2: Cumulative Distribution Functions and Expected Values

4.3: Normal Distribution

4.4: Exponential and Gamma Functions

4.5: Other Continuous Distributions

4.6: Probability Plots

Chapter 5: Joint Probability Distributions and Random Samples

5.1: Jointly Distributed Random Variables

5.2: Expected Values, Covariance and Correlation

5.3: Statistics and their Distributions

5.4: Distribution of the Sample Mean

5.5: Distribution of a Linear Combination

Chapter 6: Point Estimation

6.1: Some General Concepts of Point Estimation

6.2: Methods of Point Estimation

Chapter 7: Statistical Intervals Based on a Single Sample

7.1: Confidence Intervals

7.2: Large Sample Confidence Intervals for a Population Mean and Proportion

7.3: Intervals Based on a Normal Population Distribution

7.4: Confidence Intervals for the Variance and Standard Deviation of a Normal Population

Chapter 8: Test of Hypotheses Based on a Single Sample

8.1: Hypotheses and Test Procedures

8.2: Tests About a Population Mean

8.3: Tests Concerning a Population Proportion

8.4: P-Values

8.5: Selecting the Right Test

Chapter 9: Inferences Based on Two Samples

9.1: Z-Tests and Confidence Intervals for a Difference Between Two Population Means

9.2: Two-Sample t Test and Confidence Interval

9.3: Analysis of Paired Data

9.4: Inferences Concerning a Difference Between Population Proportions

9.5: Inferences Concerning Two Population Variances

Chapter 10: Single and Multi Factor Analysis of Variance

10.1: Single-Factor ANOVA

10.2: Multiple Comparisons in ANOVA

10.3: Two-Factor ANOVA with K = 1

10.4: Two-Factor ANOVA with K = 0

10.5: Three-Factor ANOVA

10.6: 2^p Factorial Experiments

Chapter 11: Linear Regression and Correlation

11.1: Simple Linear Regression Model

11.2: Estimating Model Parameters

11.3: Inferences About the Slope Parameter

11.4: Inferences Concerning Mean and Prediction of Future Y Values

11.5: Correlation

Chapter 12: Non-Linear and Multiple Regression

12.1: Assessing Model Adequacy

12.2: Regression with Transformed Variables

12.3: Polynomial Regression

12.4: Multiple Regression Analysis

12.5: Other Issues in Multiple Regression

Chapter 13: Goodness-of-Fit Tests and Categorical Data Analysis

13.1: Goodness-of-Fit Tests when Category Probabilities are Completely Specified

13.2: Goodness-of-Fit Tests for Composite Hypotheses

13.3: Two-Way Contingency Tables

Chapter 14: Distribution-Free Procedures

14.1: Wilcoxon Signed-Rank Test

14.2: Wilcoxon Rank-Sum Test

14.3: Distribution-Free Confidence Intervals

14.4: Distribution-Free ANOVA

Chapter 16: Quality Control Methods

16.1: General Control Charts

16.2: Control Charts for Process Location

16.3: Control Charts for Process Variation

16.4: Control Charts for Attributes

16.5: CUSUM Procedures

16.6: Acceptance Sampling

Link to Textbook: Probability and Statistics for Engineering and the Sciences, 8th Edition by Jay Devore