Statistics and Probability
A first course in data and inference, matching AP Statistics: exploring one- and two-variable data, designing studies, counting and probability, random variables and distributions, the normal model, sampling distributions, confidence intervals, and significance tests, reasoned from first principles.
0 of 59 lessons available so far.
1. Exploring One-Variable Data
- Individuals, Variables, and Types of Data coming soon
- Displaying Categorical Data coming soon
- Dotplots, Stemplots, and Histograms coming soon
- Measures of Center coming soon
- Measures of Spread coming soon
- Boxplots and Outliers coming soon
- Describing and Comparing Distributions coming soon
- Z-Scores and Position coming soon
2. Exploring Two-Variable Data
- Scatterplots and Association coming soon
- Correlation coming soon
- Least-Squares Regression coming soon
- Residuals and Residual Plots coming soon
- Assessing a Regression Model coming soon
3. Collecting Data
- Samples and Surveys coming soon
- Random Sampling Methods coming soon
- Sources of Bias coming soon
- Observational Studies and Experiments coming soon
- Designing Experiments coming soon
4. Counting and Combinatorics
- The Fundamental Counting Principle coming soon
- Permutations coming soon
- Combinations coming soon
- Combinations and the Binomial Theorem coming soon
5. Probability
- Randomness and Probability coming soon
- Basic Probability Rules coming soon
- Two-Way Tables and Venn Diagrams coming soon
- Conditional Probability coming soon
- Independence and the Multiplication Rule coming soon
- Simulation coming soon
6. Random Variables and Probability Distributions
- Random Variables coming soon
- Mean (Expected Value) of a Random Variable coming soon
- Variance and Standard Deviation coming soon
- Transforming and Combining Random Variables coming soon
- Binomial Distributions coming soon
- Geometric Distributions coming soon
7. The Normal Distribution
- Density Curves coming soon
- The Normal Distribution coming soon
- Normal Distribution Calculations coming soon
- Assessing Normality coming soon
8. Sampling Distributions
- What Is a Sampling Distribution? coming soon
- The Sampling Distribution of a Proportion coming soon
- The Sampling Distribution of a Mean coming soon
- The Central Limit Theorem coming soon
9. Confidence Intervals
- The Idea of a Confidence Interval coming soon
- Confidence Interval for a Proportion coming soon
- Confidence Interval for a Mean coming soon
- Choosing the Sample Size coming soon
10. Significance Tests
- The Logic of Significance Testing coming soon
- Significance Test for a Proportion coming soon
- Significance Test for a Mean coming soon
- Type I and Type II Errors and Power coming soon
11. Inference for Two Samples
- Comparing Two Proportions coming soon
- Comparing Two Means coming soon
- Inference for Paired Data coming soon
12. Chi-Square Tests
- The Chi-Square Goodness-of-Fit Test coming soon
- The Chi-Square Test for Homogeneity coming soon
- The Chi-Square Test for Independence coming soon
13. Inference for Regression
- The Sampling Distribution of the Slope coming soon
- Confidence Interval for the Slope coming soon
- Significance Test for the Slope coming soon