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that is the estimator are not BLUE. Serial correlation may affect the regression
standard error which may invalidate significance test.
In such cases it is
however possible that wrong inferences could be made as to how the
independent variables are determinants of the dependent variable variations.
The Breusch-Godfrey test general hypothesis are as follows;
H0: No serial
correlation in the model
H1: serial correlation in the model
4.10.3 Test for Heteroscedasticity
This test, test for constant variance in all residuals.
ARDL model and OLS
estimation assumed that the residuals have a constant variance that is
homoscedasticity. On the other hand, in cases where the model does not have
a constant variance that is, heteroscedasticity in the residuals in this case the
estimated coefficients will no longer be BLUE and
it will not have minimum
variance of the unbiased estimators. This thesis will make use of the Whites
test for heteroscedasticity with the following hypothesis;
H0: Residuals with Constant variance
– Homoscedasticity
H1: Residuals with Non-constant variance - Heteroscedasticity
4.10.4 Regression
Specification Error Test
The test for misspecification in this thesis is conducted using the Ramsey
Regression Specification Error Test (RESET). The Ramsey (1969)
test for
functional form, that is, if non-
linear combinations of the fitted values can well
describe the explanatory variable. The model is said to be misspecified if non-
linear combinations of the fitted values have power in describing the
independent variables and needs to be adjusted.
The null and alternative
hypothesis is as follows:
H0: Non-linear combinations with no power -
No misspecification
H1: Non-linear
combinations with power -
Misspecification.
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