Art of Stat: Concepts 1.3.0

Explore the Central Limit Theorem, delve into the correlation coefficient and linear regression topics, and visualize confidence intervals' coverage probability or Type I & II Errors in hypothesis testing.

Enhance your comprehension by gradually immersing yourself in these critical concepts. Suitable for both students and teachers of statistics.

The "Art of Stat: Concepts" app grants access to the following modules:

• Central Limit Theorem for Means
• Central Limit Theorem for Proportions
• Explore Correlation
• Explore Linear Regression
• Explore Coverage
• Errors & Power

Central Limit Theorem (CLT): Choose from various real population distributions – left-skewed, right-skewed, or symmetric – and simulate drawing a sample from the population. Visualize the step-by-step construction of the sampling distribution. Witness how the sampling distribution evolves with increasing sample size and superimpose the normal distribution. Compare the means of the sampling distribution and the population distribution visually and by key statistics.

Correlation/Linear Regression Exploration: Generate (or remove) points on a scatterplot via screen tapping. Exhibit the regression line or residuals. Create simulated scatterplots and estimate the correlation coefficient.

Coverage and Errors: Investigate what a 95% coverage means for a confidence interval concerning a population mean or proportion. Examine Type I and Type II errors and their relationship with sample size and true parameter value. Identify and visualize a hypothesis test's power.