What would cause skipping and shaking on accelceration under normal conditions and no codes sent to computer? 5.4L with 133000M. Plugs and all
coil packs have been checked. Now with no code I am thinking EGR?
Any help? and thanks in advance

some misfires will not throw a check engine light.

A vac leak with the EGR valve will throw the CEL on too.........um..........02 Sensor?

You may want to check the rear differential as well. Mine was leaking last summer which created a shudder upon acceleration, so I had to:
clean the housing to remover grit, rust flaking, etc...
remove the cover
drain the lubricant
clean the cover thoroughly
apply a bead of gasket maker
reinstall the cover
refill with lubricant (and anti-slip additive, if you have that option on your truck)Make sure that you use the proper gear oil - and gear oil additive if you have Trak-Lock, Posi-Trac or whatever Ford calls their anti-slip gear.

The refill hole is on top of the differential housing. It's hard to see while you're under the vehicle, but there's a retaining bolt holding the "plug" in place. It will likely have a bunch of dirt on top of it as well. Take your time to clean it well before opening it up.

It's an easy fix. Just take your time to make sure the housing is clean before you remove the cover so that there isn't a bunch of grit getting into the works.
I repainted my housing cover before putting it back on, too. Helps avoid further corrosion.