We analyze the performance of statistical cooperative diversity based on space-time block codes (STBC) (Statistical STBC cooperative diversity) with considering the effects of quantization, observation noise, fading, and channel noise. We use binary quantization, that is, binary sensors. We derive the bit error rate (BER) and average mutual information of the statistical STBC cooperative diversity with Alamouti's STBC and two active nodes in the presence of general observation noise. We show that the performance of the statistical STBC cooperative diversity depends on the effects of observation noise and the number of cooperating nodes largely. We also show how much the communication between sensor nodes or feedback from the fusion center improves the performance of STBC cooperative diversity.