target analysis plus missile spec:
1399 yellow - 1404 red
just missile spec:
1399 yellow - 1086 red
nill (me):
1400 yellow - 898 red
Support doctrine:
1399 yellow - 673 red
Thanks for doing the testing! So, each mine doing 1400 damage to armor, presumably blowing up all the armor cells in its range completely, means that the ship had 1000 base armor. Thus the yellow numbers, with the excess going to hull, and thus the red numbers. Since the damage done is damage * hit str / (hit str + armor), noting that the 1) the hit strength is doubled and 2) the damage to armor (but not hull) is doubled since mines do HE damage, we can back out the original damage:
TA + MS elite: 1400 armor + 1404 red -> 2520 HE damage, or around a 26% bonus. This doesn't quite fit the (1 + 15% + 10%) = 1.25x damage if TA and MS added their bonuses (which would have resulted in 1383 hull damage), but doesn't quite fit the 1*1.15*1.10 = 1.265x damage if TA and MS multiplied their damage bonuses (which would have resulted in 1413 hull damage. Instead, it's somewhere in between. I suspect it's actually that TA and MS multiplies their damage bonuses together though based on some quick testing of my own.
MS elite: 1400 armor + 1086 red -> 2194 HE damage, or around a 9.7% increase in damage. Not sure why it's slightly off from MS's stated damage bonus of 10% (which would've given 1092 hull damage).
nil: 1400 armor + 898 red -> 2000 HE damage (which is what mines are supposed to do)
Support Doctrine: 1400 armor + 673 red -> 2000 HE damage, but the hull damage was reduced by 25% due to SD providing Damage Control.
So yeah there's a bit of error (which can come from a number of sources, such as CR of the ship, or if the fleet had Tactical Drills, etc.), but overall it looks like mines are affected by the Target Analysis and the Missile Spec elite damage bonuses, which is good to know.
In fact, doing some quick testing, it seems like the damage bonus from Target Analysis is actually multiplicative, while the others are additive. So TA is actually better than other damage bonuses. In other words, the damage for mines seems to be:
2000 HE damage * (1 + 10% if 100% CR + 5% if Tactical Drills + 10% if Missile Spec) * (1 + Target Analysis bonus based on hull size)
For example, at 100% CR, with TD, MS, and TA, with 1250 armor, I'm seeing 1750 armor damage and 1209 hull damage. This works out to the above perfectly, when considering that 100% CR means 10% less incoming damage, so the shot ends up doing 2000 * (1 + 0.1 CR + 0.05 TD + 0.1 MS) * (1 + 0.15 TA) * (1 - 0.1 CR) = 2587.5 base HE damage. Note that the final term is because since this is at 100% CR, the ship also takes 10% less damage, which in this case is coded as the incoming shot has 10% less damage (which also means 10% less hit strength).