Apart from hausman test, what are the other important frontier tests for endogeneity?

Thanks Nezar Banawi for your answer.
I was looking for a substitute to Hausman test (HT).
I am aware that the 'HT' tests for endogeneity of a potential endogenous variable in a model , usually by significance evaluation of the endogenous predictors and the instruments.
Nonetheless, I am looking for other robust tests for endogeneity :)

The test evaluates the significance[clarification needed] of an estimator versus an alternative estimator.
It helps one evaluate if a statistical model corresponds to the data.

Do you mean the Durbin–Wu–Hausman test (augmented regression test) for endogeneity? I don't think there is a credible alternate test (I could be wrong) but this is what I use..

Edit: I found this on the net: http://www.emeraldinsight.com/doi/abs/10.1108/S%282012%(The Hausman Test, and Some Alternatives, with Heteroskedastic Data)

 

Basically the authors of the paper have devised some new tests that you can use (but they are not "standard" or well used in the market)