E N D
1. Nonrandom Sampling and Tobit Models ECON 721
2. Different Types of Sampling Random sampling
Censored sampling
Truncated sampling
Nonrandom
Exogenous stratified
Endogenous stratified
Choice-based
6. Tobit Models Main reference: Amemiya, Chapter 10
7. Type I Tobit Model Tobins (1958) example expenditure on a durable good only observed if expenditure exceeds the minimum price available.
9. Truncated Type I Tobit Only observe data for people who purchased the good (e.g. gather data at appliance store)
10. Ways of Estimating Tobit Model MLE
If censored, estimating probit and get coefficients up to scale
By OLS using results for conditional means of truncated normal random variables
12. Heckmans Two-Step Procedure
13. NLLS
14. Tobit Type III Model
16. likelihood
18. Estimation by MLE
20. Example: Gronaus female labor supply model
23. Heckmans female labor supply model (explains choice of H as well)
25. Type III Tobit Model (observe both wages and hours)
27. Estimation MLE
Two-step method
28. Type V Tobit Model