In this paper, Bit Error Rate (BER) of five relay selection schemes, Non-selection, Optimal Selection (OS), Max-Min Signal to Noise Ratio (SNR) Selection (MMS), Max-Sum rate Selection (MSS), and Hybrid Selection (HS), for Decode and Forward (DF) two-way relay networks is evaluated. In the previous works, it was shown that MMS and hybrid schemes are the best selection schemes in the view of outage probability. In this study, we show that BER of MMS relay selection scheme is less than the other selection schemes. Moreover, it is investigated that the best relay selection scheme in the view of BER as well as outage probability is the MMS if the channel conditions and the number of cooperative relays change. Finally, this paper shows that the equal power for network components (source, destination and relay nodes) is the best power allocation scenario in the MMS scheme.