Shiny Demos of Statistical Concepts

Note: Not all Shiny demos are currently live. If you are interested in viewing a Shiny demo that is not currently live, please contact David Darmon at david dot m dot darmon at gmail dot com.

Descriptive Statistics

• Measures of center and spread with histograms

Random Variables

• Density functions as the limit of density histograms
• Center and spread of the density curve of a normal random variable
• Probabilities from a normal density curve, and the associated probability queries and R commands
• Practice computing Normal probability queries using R

Sampling Distributions

• Sampling distribution via simulation
• Sampling distribution via enumeration
• The Gaussian approximation to the binomial distribution
• Sampling distribution of Pearson’s correlation coefficient under the bivariate Gaussian model

Inferential Statistics

• A black box model for inferential statistics
• Frequency interpretation of the confidence level of a confidence interval
• Confidence curves for the mean of a Gaussian population
• Wilson score confidence interval for a binomial success probability
• The tradeoff between the signiificance level of a hypothesis test and the power of the hypothesis test

Regression

• Animated schematic of simple linear regression with Gaussian noise (SLRGN) model
• The least squares solution to the linear regression problem
• Diagnostic plots for the simple linear regression with Gaussian noise (SLRGN) model
• Sampling properties of the slope and intercept in a simple linear regression
• Confidence and prediction intervals for SLRGN
• The case resampling bootstrap for simple linear regression