Help with Calculating DPR

[Mystically Inclined]

Hello!

I decided to tackle DPR today. After doing so, I plugged the same numbers into a DPR calculator and got different numbers. I believe I'm making an error. Would someone mind reviewing my math?

(For Background, this is a level 12 ninja making a full round power attack with haste, an extra attack from ki, and sneak attack added in.)

Full round: 21/21/21/16 (1d10+19+6d6)
Assume CR 14, which means AC 29
In order to hit, I have to roll an 8 (13 for the iterative). That means chance to hit is 65% (40% for iterative).
The weapon is an Elven Curve Blade with the Keen enhancement

Rynjin wrote:

The damage formula is h(d+s)+tchd

h = Chance to hit, expressed in a decimal percentage
d = Damage per hit. Average damage is assumed
s = Precision damage per hit (or other damage that isn't multiplied on a crit). Average damage is assumed
t = Chance to roll a critical threat, expressed as a decimal percentage
c = Critical hit bonus - 1. For example, x2 = 1, x3 = 2, x4 = 3

h = 0.65

d = 1d10+19 = 5.5 + 19 = 24.5
s = 6d6 = 6*3.5 = 21
t = 0.30 <--threat range of (15-20), at first I thought this was 0.25 but I corrected it later
c = 1

0.65(24.5+21) + (0.30*1*0.65*24.5) = 34.3525
0.40(24.5+21) + (0.30*1*0.40*24.5) = 21.14
34.3525 + 34.3525 + 34.3525 + 21.14 = 124.1975

Which, I am given to understand, means that if I took 1000 full round attacks vs an AC of 29, my average damage would be 124.1975.

...but I plugged the same numbers into BigDTBone's Online DPR Calculator and got a full round DPR of 106.93. Not sure where I've gone wrong.

[wraithstrike]

Did you add in the +1 to attacks from haste?

Are you also making sure that the sneak attack damage is not being multiplied on the crit.

[kestral287]

You haven't, his calculator has. It's not including non-critical damage properly.

Tested with your numbers and a dpr calculation for a level 20 Swashbuckler I happened to have lying around. When I ran the latter with 20 precision damage and then again with 0, I got the same results.

EDIT: I actually stand corrected on this front, as when I double-checked those numbers the precision damage did translate properly. However, damage was still wildly off. So I still think it's the calculator and not you, but I'll have to keep trying to pin down the problem.

[BigDTBone]

Mystically Inclined wrote:

Hello!

I decided to tackle DPR today. After doing so, I plugged the same numbers into a DPR calculator and got different numbers. I believe I'm making an error. Would someone mind reviewing my math?

(For Background, this is a level 12 ninja making a full round power attack with haste, an extra attack from ki, and sneak attack added in.)

Full round: 21/21/21/16 (1d10+19+6d6)
Assume CR 14, which means AC 29
In order to hit, I have to roll an 8 (13 for the iterative). That means chance to hit is 65% (40% for iterative).
The weapon is an Elven Curve Blade with the Keen enhancement

Rynjin wrote:

The damage formula is h(d+s)+tchd

h = Chance to hit, expressed in a decimal percentage
d = Damage per hit. Average damage is assumed
s = Precision damage per hit (or other damage that isn't multiplied on a crit). Average damage is assumed
t = Chance to roll a critical threat, expressed as a decimal percentage
c = Critical hit bonus - 1. For example, x2 = 1, x3 = 2, x4 = 3

h = 0.65

d = 1d10+19 = 5.5 + 19 = 24.5
s = 6d6 = 6*3.5 = 21
t = 0.30 <--threat range of (15-20), at first I thought this was 0.25 but I corrected it later
c = 1

0.65(24.5+21) + (0.30*1*0.65*24.5) = 34.3525
0.40(24.5+21) + (0.30*1*0.40*24.5) = 21.14
34.3525 + 34.3525 + 34.3525 + 21.14 = 124.1975

Which, I am given to understand, means that if I took 1000 full round attacks vs an AC of 29, my average damage would be 124.1975.

...but I plugged the same numbers into BigDTBone's Online DPR Calculator and got a full round DPR of 106.93. Not sure where I've gone wrong.

You put "1" in the crit multiplier field in my calculator, you should put "2"

The calculator is designed for use by people who don't nessicarily have knowledge of the formula, so it expects people to just put in the numbers on the stat block.

When I did this it gave me 124.20 :)

[Mystically Inclined]

wraithstrike wrote:

Did you add in the +1 to attacks from haste?

I did, as well as a few other attack bonuses which are being assumed for this best case scenario number. Once I know I've got the method down, I'm going to the calculation for a variety of other assumptions.

wraithstrike wrote:

Are you also making sure that the sneak attack damage is not being multiplied on the crit.

Yep, that's handled. The latter half of the formula has 5.5+19 for damage, which is just my d10 + static damage.

Also I forgot to ask... what's considered good for full round DPR? My impression from the games that I've been playing him in is that his damage is really strong (honestly, too strong for this particular game). I'm curious if there's an expectation of DPR per level.

EDIT:

BigDTBone wrote:

You put "1" in the crit multiplier field in my calculator, you should put "2"

Ah hah! Mystery solved. Thank you, sir! :D Glad to know I had my math right.