I am glad it has worked out for you. Schools who have reputation is mainly due to their age. With age, any school grows and so does its alumni numbers. To keep it short, it depends on how well motivated you can keep yourself, sometimes regardless of the school (so long as there are proper accreditation) and to be able to score well on the USMLE exams. There are many things you can do besides the board exams to make your residency profile more attractive. Having the name of the school (i.e. Caribbean ones) is not one of them.... I've got this info from several licensed doctors in the U.S., who happen to go through the caribbean system.

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-Food for thought. Facts to quench the thirst.