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Forums: Index > Watercooler > Accuracy Spread conversion

I am creating this topic because I was surprised when re-reading Accuracy that it states there was no linear correlation between Card Accuracy and Spread.

So I did some quick research.

My results showed there is 0-deviation linear correlation.

Formula

In the below formula, "12" and "0.12" are both EXACT VALUES.

Spread = 12 − 0.12 × Accuracy

and

Accuracy = (12 − Spread) / 0.12

It is interesting to note that the formula is accurate, even on the extreme ends of the scale.

Graph

SpreadAccuracyGraph

Input Data

  • First table is data was gathered using gearcalc.
  • Second table is Accuracy/Spread both recalculated from the base Spread/Accuracy
  • Third table is the difference (percentage based) between the original value, and the calculated value.

The error is given as "difference"/"value" where:

  • value is the spread for spread calculations
  • value is "100-Accuracy" for accuracy calculations
Card Spread
96.7 0.40
95.7 0.51
97.8 0.27
97.4 0.31
98.6 0.16
41.7 7.00
25.3 8.96
61.1 4.67
55.1 5.38
74.6 3.04
87.0 1.56
84.0 1.92
91.3 1.04
90.0 1.20
94.3 0.68
26.9 8.78
11.7 10.59
51.2 5.85
43.7 6.75
68.2 3.82
13.3 10.40
-1.8 12.22
42.2 6.93
33.3 8.00
62.3 4.52
-67.9 20.15
-27.3 15.28
Recalculated
96.7 0.40
95.8 0.52
97.8 0.26
97.4 0.31
98.7 0.17
41.7 7.00
25.3 8.96
61.1 4.67
55.2 5.39
74.7 3.05
87.0 1.56
84.0 1.92
91.3 1.04
90.0 1.20
94.3 0.68
26.8 8.77
11.8 10.60
51.3 5.86
43.8 6.76
68.2 3.82
13.3 10.40
-1.8 12.22
42.3 6.94
33.3 8.00
62.3 4.52
-67.9 20.15
-27.3 15.28
Error
1.01% 1.00%
1.16% 1.18%
2.27% 2.22%
0.64% 0.65%
4.76% 5.00%
0.06% 0.06%
0.04% 0.04%
0.04% 0.04%
0.15% 0.15%
0.26% 0.26%
0.00% 0.00%
0.00% 0.00%
0.38% 0.38%
0.00% 0.00%
0.58% 0.59%
0.09% 0.09%
0.06% 0.06%
0.10% 0.10%
0.09% 0.09%
0.10% 0.10%
0.04% 0.04%
0.03% 0.03%
0.09% 0.09%
0.05% 0.05%
0.09% 0.09%
0.01% 0.01%
0.03% 0.03%

Conclusion

In the above table, most "error" are below or around the 0.1% threshold.

Regarding high accuracy weapons, there are a few "freak" occurrences of high deviation, going up to 5%. However, at these scales, the input data accuracy (the difference between 0.16 - 0.17, or 98.6 and 98.5) is actually higher than 5%.

In all cases, the deviation is smaller or equal to the input data precision => Deviation can be considered null, or "visibly null"

End

Doing this as a forum page for referencing from the article. happypal (talk • contribs) 10:06, August 22, 2012 (UTC)

EDIT: Oh... Wait... it wasn't spread/accuracy. It was Accuracy/angle... happypal (talk • contribs) 10:22, August 22, 2012 (UTC)

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