This is it! Final wrap-up of STAT 750

What is a statistical model

  • An abstraction, a summary.
  • Deterministic equation + likelihood function
    (mathematical formula of the (linear) predictor + probability distribution)
  • Steps to design a statistical model:
    • Define the distribution the data arise from.
    • Define the linear predictor.
    • Select a method to estimate the parameters.
      • Least Squares
      • Maximum Likelihood Estimation
      • REML
      • Bayesian Estimation (check of STAT 786 - Applied Bayesian Modeling and Prediction)

Key things to report

  • Expected value.
  • Uncertainty!!!

Statistics as a catalyzer of scientific progress

  • The connection between scientific questions and statistics.

Miscellaneous