Problems related to regressor colinearity are not typically severe for these models, but failures due to lack of conditional independence of the observations could generate highly misleading projections.
12.
In addition to the regressors outlined above, consider a case where one lag of the dependent variable is included as a regressor, y _ { it-1 }.
13.
A common rule of thumb for models with one endogenous regressor is : the null that the excluded instruments are irrelevant in the first-stage regression should be larger than 10.
14.
In case of a single regressor, fitted by least squares, " R " 2 is the square of the Pearson product-moment correlation coefficient relating the regressor and the response variable.
15.
In case of a single regressor, fitted by least squares, " R " 2 is the square of the Pearson product-moment correlation coefficient relating the regressor and the response variable.
16.
A second regression is then run on the first differenced variables from the first regression, and the lagged residuals \ hat { u } _ { t-1 } is included as a regressor.
17.
A positive covariance of the omitted variable with both a regressor and the dependent variable will lead the OLS estimate of the included regressor's coefficient to be greater than the true value of that coefficient.
18.
A positive covariance of the omitted variable with both a regressor and the dependent variable will lead the OLS estimate of the included regressor's coefficient to be greater than the true value of that coefficient.
19.
For example, having a regression with a constant and another regressor is equivalent to subtracting the means from the dependent variable and the regressor and then running the regression for the demeaned variables but without the constant term.
20.
For example, having a regression with a constant and another regressor is equivalent to subtracting the means from the dependent variable and the regressor and then running the regression for the demeaned variables but without the constant term.
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