What is a model?
- Q: What is a model? In how far is a map a model?
- Q: Why is the “mean” a model?
- Behind any model there is a (joint) distribution
- Model summarizes (joint) distribution with fewer parameters
- e.g. intercept/coefficents in linear model
- Statistical Model (Wikipedia):
- Class of a mathematical model
- Embodies assumptions about generation of sample data from data of a larger population
- Assumptions describe set of probability distributions
- e.g. sampling distribution of reg. coefficent = normally or t-distributed
- Inherent probability distributions distinguish stat. Ms from math. Ms