Statistical Models 2021

Some usefull references:

• Alvin C. Rencher, G. Bruce Schaalje - Linear Models in Statistics (2008)
• Notes of Rogelio Ramos Quiroga (2011)
• Interactive Linear Algebra (2019) (to remember concepts that you might have forgotten)

Presentation:

• Presentation, part 1.

Many of the examples were given to me by Rogelio Ramos Quiroga , in many of them I extended explanation and analysis.
I have tried to keep the original references inside code.

• February 12
  • Best fit of a line by least squares.
  • Best fit of a parabola by least squares.
  • Best fit of a trigonometric function by least squares.
  • Best fit of an ellipse by least squares.
• March 12
  • Best fit of a line by least squares with confidence regions.
  • Finding the best price to maximize the gain.
• March 19
  • Local polinomial estimator.
  • Robust regression.
• March 26
  • Best fit of a line by least squares with confidence regions, using python class.
  • Mahalanobis distance.
  • Leverage points.
• April 23
  • Example of ridge regression with the prostate dataset.
  • Prostate data.
• April 30
  • Cubic splines with R.
  • Cubic splines with Python.
  • Cubic splines with Julia.
  • Smooth splines with Python.
  • Example of a generalized additive model.
• May 07
  • Logistic regression (coronary heart disease).
  • coronay heart disease data.
  • logistic regression (languages classification).
  • words in different languages.
• May 14
  • Logistic regression (iris data).
  • Logistic regression (British crime survey).
  • British crime survey data.
  • Poisson regression (AIDS cases in Belgium).
• May 21
  • Non-linear regression (chicken's weight), part 1.
  • Non-linear regression (chicken's weight), part 2.
  • Non-linear regression (chicken's weight), part 3.
  • Ckiken's weight data.