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How to test for ARCH effects?
Testing for ARCH Effects The test for an ARCH effect was devised originally by Engle (1982) and is similar to the Lagrange Multiplier (LM) test for autocorrelation. Run the regression of the model using Ordinary Least Squares (OLS) and collect the residuals. Square the residuals.
What is the test statistics value for the ARCH test?
The test statistic for Engle’s ARCH test is the usual F statistic for the regression on the squared residuals. Under the null hypothesis, the F statistic follows a χ 2 distribution with m degrees of freedom. A large critical value indicates rejection of the null hypothesis in favor of the alternative.
How do you do an ARCH LM test in EViews?
To test whether there any remaining ARCH effects in the residuals, select View/Residual Diagnostics/ARCH LM Test… and specify the order to test. EViews will open the general Heteroskedasticity Tests dialog opened to the ARCH page. Enter “7” in the dialog for the number of lags and click on OK.
How do I use ARCH test in EViews?
How do you interpret an ARCH test in EViews?
Is the result of R-var-arch LM test conflicting?
For q = 1, it tests for ARCH effects at lag 1: H 0: α 1 = 0. For q = 2, it tests for ARCH effects at lags 1 and 2 jointly: H 0: α 1 = α 2 = 0. These are different hypotheses so one could not say the result of the first test is in conflict with the result of the second test.
What does the arch LM test tell you?
The ARCH-LM test is a portmanteau test. It tests a number of lags (lag 1 through lag $q$) at once as a group and tells you whether the average ARCH effect within the group is large.
Why does the arch statistic not pick up a lag?
If you have a large group, you will have low power against any individual lag within the group, because the average will be relatively insensitive to each individual. If there is a substantial ARCH effect in the group, the test statistic might not pick that up because all the other lags without ARCH effects would swamp the one with the ARCH effect.
Can a small group miss an arch effect?
If there is a substantial ARCH effect among them, the test statistic will pick that up. However, a small group means that you might miss a lag with substantial ARCH effect that is outside the group, unlike in the case of large q.