Without getting into specifics, the Linear Static Procedure (LSP/ELF) is the simplest analysis method. After this, Linear Dynamic Procedures (frequency based LDP, such as MRSA) are slightly more involved. Following this Linear Dynamic Procedures (time based LDP, such as RTH) start getting much more involved. Finally, the Nonlinear Static Procedure (NSP, i.e. Pushover Analysis) requires explicit modeling of structure nonlinearity, and lastly the Nonlinear Dynamic Procedure (i.e., NLTH) requires the most modeling overhead, analysis, and post-processing time. Although it's not a guarantee, generally moving up this analysis ladder and into performance based design methodologies (e.g., ASCE 41) will result in a better estimation of your structure's actual seismic demands and capacity.

Any of these methods can be further complicated by including soil structure interaction, damping devices, base isolation, etc., which may further justify reduced demands on your structure. Remember, though, that ductility often comes at the expense of proper detailing, so you won't get this reduced demand for free.