Editing Archer Demon vs Sage (section)

== PvP Cultivation Comparisons ==

For PvP there are 3 important factors:

* (1) Critical Rate
* (2) Attack Speed
* (3) Damage Per Hit


As an Archer, a Bow is the weapon of choice for PvP. Primary reason is that most end-game bows have the interval of a slingshot, a better damage spread, and the ability to <b>purge</b>. As of June 6, 2011, most servers have heavily geared characters. This ranges from TT99 to Rank 9. Most end-game characters usually have higher refines and better physical defense. The best geared characters are impossible to kill as an archer when they're fully buffed.


A fully buffed Rank 9 character with full Jades of Steady Defense will have nearly double if not more than double their Defense Rating. A full Rank 9 archer can jump from 40,000 defense rating to 120,000 in the extremist of cases. It is imperative that you be able to debuff these people if you hope to ever be able to kill them.


<big>''Attack Speed''</big>


Well attack speed is a no-brainer for archers. Attempt to gain as much attack speed as possible without sacrificing damage per hit. The higher your attack speed with a bow, the more shots you can make within a limited period of time. In PvP you must be able to tear through an opponent's HP in '''less than 10 seconds'''. If you can't, you will never be able to kill a charmed opponent.


Assuming you have an end-game archer with ''average'' gear (as of June, 2011), you likely have about 0.8-0.87 attacks per second - see [http://pwi-forum.perfectworld.com/showthread.php?t=279561 Archer Attack Speed Basics] for more information on how Interval works. This means in 10 seconds you can deal a total of 8 hits at best. 

<center>
{| {{DefTable}}
| Attack Speed
| Shots fired in 10 seconds
|-
| 0.80
| 8
|-
| 0.83
| 8
|-
| 0.87
| 8
|-
| 0.91
| 9
|-
| 0.95
| 9
|-
| 1.00
| 10
|-
| 1.05
| 10
|-
| 1.11
| 11
|-
| 1.18
| 11
|-
| 1.25
| 12
|-
| 1.33
| 13
|-
| 1.43
| 14
|}
</center>

Fortunately, for demon archers, both Spark and Quickshot grant a -0.1 interval buff. This allows demon archers to increase their attack speed with the same gear as a sage archer. Although, to be fair archer chi is better spent on other things than sparking. Which leaves Quickshot as a demon archers triumph card.


Using demon Quickshot, archers can hit the next interval bracket 0.87 - 0.95 attacks per second. Once an archer hits 0.91 attacks per second, an archer will deal 9 shots in 10 seconds. Effectively, as demon archers get more base interval, the benefits of Quickshot on attack speed for PvP increase.



<big>''Critical Rate''</big>


It's easy to understand why critical rate is important in PvP for bow-weilding archers. When a shot criticals the damage is '''doubled'''. To compete with equally geared opponents, criticals are how you as an archer are going to win. Criticals are the archer's charm breaker. Criticals can allow archers to nearly double their damage.


The question is: how much of a difference does critical rate make? Does an archer with 2% more passive critical rate, hit more critical hits? What about 10%? The answer comes from the statistics, more specifically the [http://en.wikipedia.org/wiki/Binomial_distribution Binomial Distribution]. For those less-math-literate people reading this article, the binomial distribution basically tells us how likely '''K-critical hits''' are likely in '''N shots''', with a '''critical rate of P'''.

<center>
{|  {{DefTable}}
!colspan="5"|<big>Chance of at least K critical hits in 8 shots</big>
|-
| K-Critical Hits
| 10% Critical Rate
| 20% Critical Rate
| 30% Critical Rate
| 40% Critical Rate
|-
| 1
| 56.95%
| 83.22%
| 94.24%
| 98.32%
|-
| 2
| 18.68%
| 49.67%
| 74.47%
| 89.36%
|-
| 3
| 3.81%
| 20.31%
| 44.82%
| 68.46%
|-
| 4
| 0.5%
| 5.63%
| 19.41%
| 40.59%
|-
| 5
| 0.04%
| 1.04%
| 5.80%
| 18.37%
|-
| 6
| 0.002%
| 0.12%
| 1.13%
| 4.98%
|-
| 7
| 0.00007%
| 0.008%
| 0.13%
| 0.85%
|-
| 8
| 0.000001%
| 0.0002%
| 0.006%
| 0.06%
|-
!colspan="5"|<big>Chance of at least K critical hits in 9 shots</big>
|-
| K-Critical Hits
| 10% Critical Rate
| 20% Critical Rate
| 30% Critical Rate
| 40% Critical Rate
|-
| 1
| 61.26%
| 86.58%
| 95.96%
| 98.99%
|-
| 2
| 22.52%
| 56.38%
| 80.40%
| 92.94%
|-
| 3
| 5.30%
| 26.18%
| 53.72%
| 76.82%
|-
| 4
| 0.83%
| 8.56%
| 27.03%
| 51.73%
|-
| 5
| 0.089%
| 1.96%
| 9.88%
| 26.66%
|-
| 6
| 0.006%
| 0.31%
| 2.53%
| 9.93%
|-
| 7
| 0.0002%
| 0.031%
| 0.43%
| 2.50%
|-
| 8
| 0.000008%
| 0.002%
| 0.043%
| 0.38%
|-
| 9
| 0.0000001%
| 0.00005%
| 0.001%
| 0.03%
|}
</center>


Typically end-game archers have around 30% critical rate. From the charts above, a 10% increase in critical rate translates into a much higher probability that half of an archer's shots will critical. Attack rate also increases the frequency that shots will critical in a given time period.


Again critical-rate favors a demon cultivation. Demons can improve their chances of critical hits when they use their critical-rate increasing skills, combined with their attack speed increasing Quickshot. For sage archers, Quickshot is the only sage skill to increase their critical rate.
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