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Common tests for detecting heteroskedasticity are the Breusch-Pagan (BP) and the White test.
The Wald test results interpretation: The Wald test can be used to simultaneously test many parameters. For example: The null hypothesis can be 2 coefficients of interest are at the same time equal to zero. If the test rejects the null hypothesis, this suggests that the 2 variables are significant to that model fit.
0:02 3:51 This introduction to the wall. Test is offered by stat.com. The free digital textbook on probabilityMoreThis introduction to the wall. Test is offered by stat.com. The free digital textbook on probability statistics and Matrix algebra the wall test is used to test hypotheses about parameters that have
The test statistic for the Wald test is obtained by dividing the maximum likelihood estimate (MLE) of the slope parameter 1 by the estimate of its standard error, se ( 1 ). Under the null hypothesis, this ratio follows a standard normal distribution.
The modified Wald test is a specific method for testing heteroscedasticity in panel data with fixed effects. It is based on the idea that the variance of the error term can be estimated by the variance of the residuals within each group.
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The only difference from the Wald test is that if we know the Yis are normally distributed, then the test statistic is exactly normal even in finite samples. has a Students t distribution under the null hypothesis that = 0. This distribution can be used to implement the t-test.
The Modified Wald test, as proposed by Baum (2000) , is a statistical test used to assess the presence of panel groupwise heteroscedasticity in the fixed-effect regression model.