Hi Ravindra Muley thanks for your question. You can adopt a variety of tests. For instance, the Breusch and Pagan test to trace heteroskedasticity, Wooldridge test for autocorrelation, Breusch-Godfrey test for autocorrelation test. You can also use the cross-sectional dependence (CD) test

You can also take a look into the following link that contains similar discussion

https://www.researchgate.net/post/What-diagnostic-tests-should-be-conducted-in-panel-data-analyisis

For GMM you can also use Hansen test, to test the validity of instruments for endogenous variables.

For GMM you can also use Hansen test, to test the validity of instruments for endogenous variables.

Steps diagnostic using panel data: 1) Choosing appropriate model with model test (Common or Fixed model) and 2) Testing assumption model OLS@

Hi, based on your query, you can refer to the studies below:

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