Using gret l for Principles of Econometrics, 4th Edition
Prediction, Goodness-of-Fit, and Modeling Issues
Several extensions of the simple linear regression model are now considered. First, conditional predictions are generated using results saved by gretl. Then, a commonly used measure of the quality of the linear fit provided by the regression is discussed. We then take a brief detour to discuss how gretl can be used to provide professional looking output that can be used in your research.
The choice of functional form for a linear regression is important and the RESET test of the adequacy of your choice is examined. Finally, the residuals are tested for normality. Normality of the model’s errors is a useful property in that, when it exists, it improves the the performance of least squares and the related tests and confidence intervals we’ve considered when sample sizes are small (finite).
In appendix 10F of POE4, the authors conduct a Monte Carlo experiment comparing the performance of OLS and TSLS. The basic simulation is based on the model y = x …
The Hausman test probes the consistency of the random effects estimator. The null hypothesis is that these estimates are consistent-that is, that the requirement of orthogonality of the model’s errors …
In this chapter we’ll estimate several models in which the variance of the dependent variable changes over time. These are broadly referred to as ARCH (autoregressive conditional heteroskedas - ticity) …