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I have taken two types of subjects related to two categories one has a sample size of 189 and other has 50...Can I apply independent samples T test on them ????

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Yes, you can. The equality of sample numbers is not a requirement for T test at all, but both samples should be greater than 10 or 15. Considering your both sample sizes are greater than 25, you could even use Z test to compare normally distributed variables in them.

Ehsan88
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