I worked as an analyst for two years before making the switch

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I worked as an analyst for two years before making the switch to trading full time about a year ago. I am now trying to make the move into a quantitative position. I've already started learning Python and plan to move onto R and then to advanced math/statistics. Is it enough to be self taught in this field, or will I have to go back to school for a masters or phd in statistics or a computational field? From my own research, most jobs seems to want a graduate degree.