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Testing the generated sigma's of the Markov model for significance, how does this test work?

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Hello everybody,

I am working with the Markov switching model in Stata 14 for my thesis. I managed to create most output, thus the constants(mean), sigma's and probabilities of state changes which I wanted.
For my research however, I would like to test whether the sigma's and constants(means) are significantly different from eachother. The Markov outcomes are presented in the top table on the picture.

I have performed the test which is called in the manual the wald test, as described in the stata manual: http://www.stata.com/manuals13/rtest.pdf

The attached foto shows the performed test and test results along with the command.
Array

I would like to know whether this is the correct way to test for the significance of the sigma's and constants(means) of my Markov switching outputs. And, what the test that I performed precisely does, since the manuals description is not providing that much information on the test.

Thanks in advance for any help.

Hylke Heeres

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