ShinyServer

A served-oriented repository of Shiny apps and Rmd documents for teaching purposes, mainly focused on regression analysis. The apps run on a Shiny server at myshiny.duckdns.org.

List of contents

Shiny apps

• Simple linear regression
  • Least squares and distance choice
  • Linear model assumptions
  • Randomness of the regression line
  • Coverage of confidence intervals
  • Confidence intervals for prediction
  • ANOVA decomposition
  • Nonlinear relationships
• Multiple linear regression
  • Least squares and distance choice
  • Assumptions of the linear model
  • ANOVA decomposition
  • Nonlinear relationships
  • Partial least squares and principal component regression
• Logistic regression
  • Logistic curve and maximum likelihood
  • Randomness of the logistic regression curve
  • Confidence intervals for prediction
  • Nonlinear relationships
• Nonparametric density estimation
  • Bias and variance of the moving histogram
  • Kernel density estimator
  • Bandwidth selection in kernel density estimation
  • Transformed kernel density estimator
• Nonparametric regression estimation
  • Local polynomial regression estimator
  • Local likelihood estimator
• Other
  • Overfitting in regression
  • Nonparametric vs parametric estimation

Rmd documents

• A 10 minute-ish introduction to linear regression

Required packages

To run the applications in this repository, install the following R packages:

install.packages(c("shiny", "pls", "mvtnorm", "viridis", "nor1mix", "rgl",
                   "plot3Drgl", "plot3D", "plotly", "ks"))

License

All the material in this repository is licensed under CC BY-NC-ND 4.0.