Cover
Half Title
Series Page
Title Page
Copyright Page
Dedication
Contents
Preface
List of Figures
List of Tables
Symbols
I
1. Introduction
1.1. Approach of This Book
1.1.1. Data Modeling
1.1.2. Building an Empirical Mindset
1.2. The Role of Data
1.3. References
1.4. Chapter 1 Study Problems
2. Dealing with Variation
2.1. Measurement
2.1.1. Natural Variation
2.1.1.1. Shape of Data
2.2. Distribution
2.2.1. Histogram
2.2.1.1. How to Draw a Histogram
2.2.1.2. Comparing Histograms

2.3. Accuracy and Precision of Measurements
2.3.1. Accuracy-Systematic Error
2.3.1.1. Sources of Systematic Error
2.3.2. Precision-Random Error
2.4. Continuous Versus Discrete Data
2.4.1. Discrete Random Variables
2.4.2. Continuous Random Variables
2.5. Law of Large Numbers
2.6. Central Limit Theorem
2.7. Representativeness
2.7.1. "Simple" Random Sampling
2.8. References
2.9. Chapter 2 Study Problems
3. Types of Data
3.1. Scales of Measure
3.1.1. Nominal Data
3.1.2. Ordinal Data
3.1.3. Interval Data
3.1.4. Ratio Data

3.2. Population Parameters and Sample Statistics
3.2.1. Parameters
3.2.1.1. Population Parameters
3.2.1.2. What Are the Important Sample Statistics That Model Population Parameters?
3.2.1.3. Nominal Data:
3.2.1.4. Symmetry of the Binomial Distribution
3.2.1.5. Ordinal Data:
3.2.1.6. Interval
3.3. The Sample Mean and Standard Deviation as Robust Estimators
3.4. References
3.5. Study Problems for Chapter 3
4. Introduction to Probability
4.1. Simple Probability
4.2. Conditional Probability
4.3. Moments of a Distribution
4.3.1. The Mean as a Moment

4.3.2. The Variance as a Moment
4.3.3. Summary: Bringing Probability, Moments, and Sample Statistics
4.4. Probability Density Function and Cumulative Distribution
4.5. Summary of Probability
4.6. Study Problems for Chapter 4
5. The Sampling Distribution of the Mean
5.1. The General Logic of the Sampling Distribution
5.2. Sampling Distribution of the Mean
5.3. The Standard Normal Distribution
5.3.1. Probability Density of the Standard Normal Distribution
5.3.2. Now Let's Do Some Real Stats with the Normal Distribution!
5.3.3. The Z-test
5.4. Summary

5.5. References
5.6. Study Problems for Chapter 5
II. Testing Hypotheses
6. The Ten Building Blocks of Experimental Design
6.0.1. Notation
6.1. Basic Experimental Designs
6.1.1. One-shot Case Study
6.1.2. One-sample, Pre-post Design
6.1.3. Static Sample Comparison
6.1.4. Random Sample Design
6.1.5. Pre-post Randomized Sample
6.1.6. Factorial Designs
6.1.7. Randomized Block Factorial Designs
6.1.8. One-shot Repeated Measures
6.1.9. Randomized Factors Repeated Measures
6.1.10. Ex-post-facto
6.1.11. Time Series
6.2. Summary
6.3. References.