What is statistically the best weapon for each companion?

[Uncle Phosgene]

I tried to do the math myself(both to get Burst and Not-Burst options depending on the circumstance), and I got decently close, but I gave up when I realized I didn't account for their special stats effecting accuracy and crit rate or the crit rate of weapons or the SKILL points for weapon types effecting it. This mucks all the numbers up a bit.

What's the right order to approach this equation, I wanna figure out the damage per turn, accounting for how many shots you get, accuracy, crit rate, other stats if it's melee, SPECIAL, SKILL, all that.

 

[Uncle Phosgene]

Like, just looking at Ian(who is seemingly the simplest) both what he can actually use and his skills, SMG with Burst seems like the obvious choice, but maybe it's actually the .223 pistol since you can take a couple shots in a turn and that adds up to more? Or maybe it's the Powerfist since his Unarmed Skill is highest and he has better Strength than Perception and it's harder to miss those?

Or Katja. No Small Gun skill and her Big Gun skill is useless since she can't shoot them(oversight?), so Melee or Unarmed seems like the right call, but her Strength is bad, really bad, so Melee would be the better of the two despite the skill I'd guess? Or maybe it goes back to guns despite the horrid skill?