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Theres no short answer to your question but I can give you some kinda answer. First off you asked "if phsychology tests ever consider outside independant factors of a test, that could affect its outcome." Yeah, we do those factors are called extraneous variables and we combat these by exerting our control over the situation.
Now, in the case of you and your brother changing your answers. We control for this too by using certain statistics to analyze the raw scores.
We are aware of 'test sophistication' and 'faking' and usually account for it by putting extra measures in the test to see how much a person is lying/ faking. I have my doubts though about this test to be honest with you because the way it is set up it doesnt appear to have much internal validity but you cant really expect much from internet psych tests. If you still feel I havent answered your question you can ask me to be more specific or you can look up some of the terms I said. Lets just say this stuff is kinda boring unless your into it.
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