Some time ago, MDIMarco and others collected data on attack vs. defense. Since we don’t know the defense of mobs, the data were collected on players in duels or in the arena with known attack and defense values. Players counted the number of hits with 100 attempted hits. The range for attack was 5-1813 and defense was 10-2060 for a total of 22 data points. So, we have Attack vs. Defense and the %hits for each. I plotted the difference of Attack and Defense vs. %hits for these data and used the curve fitting function in Excel to get a formula to fit the data. The best fit was a linear equation with an R2 of 0.95. (1.0 is a perfect fit. 0.95 is quite good).
The formula:
% hits = 0.0285*(attack-defense) + 49.671
Let’s make some comparisons with the following assumptions:
Attack = 4k
Mobs defense = 5k
Weapon delay with haste = 1 sec (I know this is fast but it simplifies the math)
Damage = 3k (3050 with heat ring)
Fight duration is 15 min. (900 sec)
Using the formula I estimate the percentage hits to be 21.17%
In a 15 min fight, firing one arrow per sec, I fire 900 shots and make 190.5 hits
At 3k damage per hit that is 571,500 damage over 900 sec
Damage per second (DPS): 635
Question: What happens to DPS when you use a Reaper ring to raise Attack by 15%?
Now Attack = 4600
Keeping all the other variables the same, now percentage hits becomes 38.27%
Number of hits: 344.4
Damage: 1,033,200
DPS: 1148
DPS without the Reaper ring is 635 but increases to 1148 with the ring. More hits mean more damage but that is no surprise I hope.
What happens if we replace the Reaper ring with a 50 Heat damage ring as Furyion suggested?
The number of hits remains the same as the first example but the damage is increased to 3050.
190.5 hits X 3050 damage per hit
Damage: 581,025
DPS: 646
The damage ring improves DPS by 11 points but the Reaper ring increases DPS by 513. The Reaper ring is the clear winner here.
Of course, everyone will have to make their own decision about what a Reaper ring is worth. What do I think it is worth? Let me do the math (hmm, er, carry the 2…mmm), erm, it is worth a lot.
@OTM: Please keep the Nerf gun in its holster.

Clan: Ancients
RogerRanger 223
RogerDruid 160+
RogerRogue 160+
RogerWarrior 150+
RogerMage 110+
“Everyone is entitled to his own opinion, but not to his own facts.”
― Daniel Patrick Moynihan