Desktop dyno calculates static compression ratio, not being an engineer and formula wiz I think it's near imposssible to truly calculate running dynamic compression ratio. True dynamic compression factors in the air quality and trapped VE, etc. Effective compression ratio on the other hand just factors in static compression, stroke, rod length, and intake valve closing and can be calculated fairly easy. Another way of interpreting dynamic compression is through cranking compression numbers but of course this still doesn't have much to do with a running engine. "Good" cranking compression numbers for a pump gas street ride are in the 160-180 psi range, and a max of 200 psi usually with electronic engine management.
Here is an effective compression ratio calculator.
http://kb-silvolite.com/calc.php?action=comp2