Now if I remember correctly (a big IF!) such a study (an extensive one) was done on basketball players and the notion of the 'hot' shooter. What that study found was that there was no such thing. All that was out there were different quality shooters: the ones with high shooting percentages had more and longer 'hot' streaks than those with low shooting percentages. Duh. Larry Bird would appear to get 'hot' (i.e., have more baskets in a row), than, say, Bo Outlaw. And both groups performed pretty much as statistics would indicate. (eg., as the most obvious example, a guy say with a 50% shooting average had the same groupings of 'hits' and 'misses' and extended 'streaks' as would a series of coin flips.
Of course all of us have had the illusion of 'streaks'. 'I just can't miss'! 'I'm seeing the ball really well!' 'The fairways look wide!' But we tend to think this AFTER the fact. (As for me, given that I'm a mediocre athlete, whenever I get this feeling, I almost inevitably screw up--now that may be due to pressure, or it may simply be due to the fact that I suck, and eventually that will show up. No matter how hot or cold I'm feeling, my golf score is remarkably stable!)