Orthogonal frequency division multiplexing (OFDM) is a robust wireless communications scheme but has the disadvantage that the symbols have a large dynamic range. Many proposals have been presented for suppressing the large peaks of an OFDM symbol so that higher power efficiencies can be achieved. In this paper, we will examine the recently proposed partial-transmit-sequence-based minimum clipping power loss scheme (MCPLS) and show how it can be generalized to apply to selected mapping (SLM) as well. Additionally, we will relate the clipping power metric in MPCLS to the signal to noise plus distortion ratio (SNDR) that is more commonly used to quantify clipping distortion. Finally, we will derive the SNDR-maximizing parameters that should be used in the new SLM-MPCLS scheme.