What are the parameters to consider while selecting MOSFET or IGBT for Inverter and SMPS Design
I agree completely with Marcus's comment, however one important thing to consider is that as the rated voltage goes up, MOSFET on resistance increases very quickly.  

An IGBT has a saturation voltage that increases only slowly with collector current.

So if your average device current results in a greater drop across the MOSFET RDSon than the IGBT sat voltage, the IGBT looks better from a conduction loss perspective.  This is usually the case for say 600V and higher bus voltages.

Of course IGBTs switch slower, especially on turn-off (stored charge) so switching losses can be worse if you have to switch at higher frequencies.

Then there's everything else as Marcus pointed out.....