# Table of Contents

# Contents

## Module 1

- Module 1: Types of Statistical Studies and Producing Data
- Why It Matters: Types of Statistical Studies and Producing Data
- Introduction to Types of Statistical Studies
- Types of Statistical Studies (1 of 4)
- Types of Statistical Studies (2 of 4)
- Types of Statistical Studies (3 of 4)
- Types of Statistical Studies (4 of 4)
- Introduction to Sampling
- Sampling (1 of 2)
- Sampling (2 of 2)
- Introduction to Conducting Experiments
- Conducting Experiments (1 of 2)
- Conducting Experiments (2 of 2)
- Putting It Together: Types of Statistical Studies and Producing Data

## Module 2

- Module 2: Summarizing Data Graphically and Numerically
- Why It Matters: Summarizing Data Graphically and Numerically
- Introduction to Categorical vs. Quantitative Data
- Categorical vs. Quantitative Data
- Introduction to Dotplots
- Dotplots (1 of 2)
- Dotplots (2 of 2)
- Introduction to Histograms
- Histograms (1 of 4)
- Histograms (2 of 4)
- Histograms (3 of 4)
- Histograms (4 of 4)
- Introduction to Measures of Center
- Mean and Median (1 of 2)
- Mean and Median (2 of 2)
- Introduction to Measures of Spread
- Interquartile Range and Boxplots (1 of 3)
- Interquartile Range and Boxplots (2 of 3)
- Interquartile Range and Boxplots (3 of 3)
- Introduction to Describing a Distribution
- Standard Deviation (1 of 4)
- Standard Deviation (2 of 4)
- Standard Deviation (3 of 4)
- Standard Deviation (4 of 4)
- Putting It Together: Summarizing Data Graphically and Numerically

## Module 3

- Module 3: Examining Relationships: Quantitative Data
- Why It Matters: Examining Relationships: Quantitative Data
- Introduction to Scatterplots
- Scatterplots (1 of 5)
- Scatterplots (2 of 5)
- Scatterplots (3 of 5)
- Scatterplots (4 of 5)
- Scatterplots (5 of 5)
- Introduction to Linear Relationships
- Linear Relationships (1 of 4)
- Linear Relationships (2 of 4)
- Linear Relationships (3 of 4)
- Linear Relationships (4 of 4)
- Introduction to Association vs Causation
- Causation and Lurking Variables (1 of 2)
- Causation and Lurking Variables (2 of 2)
- Introduction to Linear Regression
- Linear Regression (1 of 4)
- Linear Regression (2 of 4)
- Linear Regression (3 of 4)
- Linear Regression (4 of 4)
- Introduction to Assessing the Fit of a Line
- Assessing the Fit of a Line (1 of 4)
- Assessing the Fit of a Line (2 of 4)
- Assessing the Fit of a Line (3 of 4)
- Assessing the Fit of a Line (4 of 4)
- Putting It Together: Examining Relationships: Quantitative Data

## Module 4

- Module 4: Nonlinear Models
- Why It Matters: Nonlinear Models
- Introduction to Exponential Relationships
- Exponential Relationships (1 of 6)
- Exponential Relationships (2 of 6)
- Exponential Relationships (3 of 6)
- Exponential Relationships (4 of 6)
- Exponential Relationships (5 of 6)
- Exponential Relationships (6 of 6)
- Putting It Together: Nonlinear Models

## Module 5

- Module 5: Relationships in Categorical Data with Intro to Probability
- Why It Matters: Relationships in Categorical Data with Intro to Probability
- Introduction to Two-Way Tables
- Two-Way Tables (1 of 5)
- Two-Way Tables (2 of 5)
- Two-Way Tables (3 of 5)
- Two-Way Tables (4 of 5)
- Two-Way Tables (5 of 5)
- Putting It Together: Relationships in Categorical Data with Intro to Probability
- StatTutor: Treating Depression: A Randomized Clinical Trial

## Module 6

- Module 6: Probability and Probability Distributions
- Why It Matters: Probability and Probability Distributions
- Introduction to Another Look at Probability
- Another Look at Probability (1 of 2)
- Another Look at Probability (2 of 2)
- Introduction to Probability Rules
- Probability Rules (1 of 3)
- Probability Rules (2 of 3)
- Probability Rules (3 of 3)
- Introduction to Discrete Probability Distribution
- Discrete Random Variables (1 of 5)
- Discrete Random Variables (2 of 5)
- Discrete Random Variables (3 of 5)
- Discrete Random Variables (4 of 5)
- Discrete Random Variables (5 of 5)
- Introduction to Continuous Probability Distribution
- Continuous Probability Distribution (1 of 2)
- Continuous Probability Distribution (2 of 2)
- Introduction to Normal Random Variables
- Normal Random Variables (1 of 6)
- Normal Random Variables (2 of 6)
- Normal Random Variables (3 of 6)
- Normal Random Variables (4 of 6)
- Normal Random Variables (5 of 6)
- Normal Random Variables (6 of 6)
- Putting It Together: Probability and Probability Distribution

## Module 7

- Module 7: Linking Probability to Statistical Inference
- Why It Matters: Linking Probability to Statistical Inference
- Introduction to Distribution of Sample Proportions
- Parameters vs. Statistics
- Distribution of Sample Proportions (1 of 6)
- Distribution of Sample Proportions (2 of 6)
- Distribution of Sample Proportions (3 of 6)
- Distribution of Sample Proportions (4 of 6)
- Distribution of Sample Proportions (5 of 6)
- Distribution of Sample Proportions (6 of 6)
- Introduction to Statistical Inference
- Statistical Inference (1 of 3)
- Statistical Inference (2 of 3)
- Statistical Inference (3 of 3)
- Putting It Together: Linking Probability to Statistical Inference

## Module 8

- Module 8: Inference for One Proportion
- Why It Matters: Inference for One Proportion
- Introduction to Estimating a Population Proportion
- Estimating a Population Proportion (1 of 3)
- Estimating a Population Proportion (2 of 3)
- Estimating a Population Proportion (3 of 3)
- Introduction to Hypothesis Testing
- Hypothesis Testing (1 of 5)
- Hypothesis Testing (2 of 5)
- Hypothesis Testing (3 of 5)
- Hypothesis Testing (4 of 5)
- Hypothesis Testing (5 of 5)
- Introduction to Hypothesis Test for a Population Proportion
- Hypothesis Test for a Population Proportion (1 of 3)
- Hypothesis Test for a Population Proportion (2 of 3)
- Hypothesis Test for a Population Proportion (3 of 3)
- Putting It Together: Inference for One Proportion

## Module 9

- Module 9: Inference for Two Proportions
- Why It Matters: Inference for Two Proportions
- Introduction to Distribution of Differences in Sample Proportions
- Distribution of Differences in Sample Proportions (1 of 5)
- Distribution of Differences in Sample Proportions (2 of 5)
- Distribution of Differences in Sample Proportions (3 of 5)
- Distribution of Differences in Sample Proportions (4 of 5)
- Distribution of Differences in Sample Proportions (5 of 5)
- Introduction to Estimate the Difference Between Population Proportions
- Estimate the Difference between Population Proportions (1 of 3)
- Estimate the Difference between Population Proportions (2 of 3)
- Estimate the Difference between Population Proportions (3 of 3)
- Introduction to Hypothesis Test for Difference in Two Population Proportions
- Hypothesis Test for Difference in Two Population Proportions (1 of 6)
- Hypothesis Test for Difference in Two Population Proportions (2 of 6)
- Hypothesis Test for Difference in Two Population Proportions (3 of 6)
- Hypothesis Test for Difference in Two Population Proportions (4 of 6)
- Hypothesis Test for Difference in Two Population Proportions (5 of 6)
- Hypothesis Test for Difference in Two Population Proportions (6 of 6)
- Putting It Together: Inference for Two Proportions

## Module 10

- Module 10: Inference for Means
- Why It Matters: Inference for Means
- Introduction to Distribution of Sample Means
- Distribution of Sample Means (1 of 4)
- Distribution of Sample Means (2 of 4)
- Distribution of Sample Means (3 of 4)
- Distribution of Sample Means (4 of 4)
- Introduction to Estimating a Population Mean
- Estimating a Population Mean (1 of 3)
- Estimating a Population Mean (2 of 3)
- Estimating a Population Mean (3 of 3)
- Introduction to Hypothesis Test for a Population Mean
- Hypothesis Test for a Population Mean (1 of 5)
- Hypothesis Test for a Population Mean (2 of 5)
- Hypothesis Test for a Population Mean (3 of 5)
- Hypothesis Test for a Population Mean (4 of 5)
- Hypothesis Test for a Population Mean (5 of 5)
- Introduction to Inference for a Difference in Two Population Means
- Inference for a Difference in Two Population Means
- Hypothesis Test for a Difference in Two Population Means (1 of 2)
- Hypothesis Test for a Difference in Two Population Means (2 of 2)
- Estimating the Difference in Two Population Means
- Putting It Together: Inference for Means

## Module 11

- Module 11: Chi-Square Tests
- Why It Matters: Chi-Square Tests
- Introduction to Chi-Square Test for One-Way Tables
- Goodness-of-Fit (1 of 2)
- Goodness-of-Fit (2 of 2)
- Introduction to Chi-Square Tests for Two-Way Tables
- Test of Independence (1 of 3)
- Test of Independence (2 of 3)
- Test of Independence (3 of 3)
- Test of Homogeneity
- Putting It Together: Chi-Square Tests

## Resources: Course Assignments

- Module 2 Assignment: Histogram
- Module 2 Assignment: Five-Number Summary
- Module 2 Assignment: Boxplot
- Module 2 Assignment: Standard Deviation
- Module 2 Assignment: Exploring COVID-19 Data Graphically
- Module 3 Assignment: Scatterplot
- Module 3 Assignment: Linear Relationships
- Module 3 Assignment: Linear Regression
- Module 3 Assignment: What’s the hardest part, and how would you explain it better?
- Module 8 Assignment: Hypothesis Testing for the Population Proportion p
- Module 9 Assignment: A Statistical Investigation using Software
- Module 10 Assignment: Distribution of Sample Means
- Module 10 Assignment: Connection between Confidence Intervals and Sampling Distributions
- Module 10 Assignment: Hypothesis Testing for the Population Mean
- Module 10 Assignment: Matched Pairs
- Module 10 Assignment: Checking Conditions
- Module 10 Assignment: Two Independent Samples
- Module 11 Assignment: Test of Independence Using Technology
- Module 11 Assignment: Using Technology with Data to Run a Hypothesis Test