Published by Bernhard Klingenberg on 2023-02-24
1. Explore the Central Limit Theorem, learn about the correlation coefficient and linear regression, and visualize the coverage probability of confidence intervals or Type I & II Errors in hypothesis testing.
2. Explore the effect on the sampling distribution as you increase the sample size.
3. Coverage and Errors: Explore what 95% coverage for a confidence interval for a population mean or proportion implies.
4. Compare the sampling distribution of the mean to the population distribution, both visually and in terms of key statistics.
5. See the Type I and Type II error and explore how they depend on the sample size and the true parameter value.
6. CLT: Select from several real population distributions (left and right-skewed or fairly symmetric) and simulate taking a sample from the population.
7. Visualize how the sampling distribution builds, step-by-step.
8. Explore Correlation/Linear Regression: Create (and delete) points in a scatterplot by tabbing on the screen.
9. Simulate scatterplots and guess the correlation coefficient.
10. Find and visualize the power of a hypothesis test.
11. Build understanding by experiencing these important concepts step-by-step.
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