The performances of two recently proposed receiver antenna selection schemes based on maximum sum-of- squares and maximum sum-of-amplitudes are investigated for the Alamouti space-time block coded multiple-input multiple-output system with correlated receiver antennas and M-ary signals. These schemes require neither channel estimation nor channel quality ordering. Their performances are compared with the conventional diversity selection scheme based on maximum signal- to-noise ratio, which does require channel quality information. Unlike the independent antenna case, where the performances of the new selection schemes are very close to that of the conventional scheme, the performance differences between the new schemes and the conventional scheme is significant in some cases when the receiver antennas are correlated.