Hello.

It has been brought to my attention that some people think that Turn the Tide 5 grants +25% Critical Chance, in addition to the Weapon Power, Accuracy, Dodge, and Strength bonus that the previous four ranks grant.

One of my friends ― @, in fact ― suggested that Turn the Tide 5 does not grant a flat +25% Critical Chance.ultimatewizardx

He mains Buccaneer in PvE, has been playing for a while, and has tested Turn the Tide 5 before arriving to this conclusion, so I trust his statement.

However, I decided recently to get some conclusive evidence to support the opposing statement ― that Turn the Tide 5 grants a flat +25% Critical Chance below 50% HP.

Therefore, I decided to conduct an experiment to see whether Turn the Tide 5 did actually work as stated.

Details on the experiment and its results are listed below.

Experiment Setup

To demonstrate the supposed effect of Turn the Tide 5 on bonus Critical, I set up an experiment to measure the proportion of criticals my Buccaneer Pirate landed on an enemy.

Details of the experiment's setup are listed below:

― Attacks are recorded in a spreadsheet with the note of whether the attack was a critical hit, or the attack was not a critical hit.

― A set of trials will be conducted to obtain a proportion for the data, and approximation by a Normal distribution will be used to calculate a probability value that determines whether the following hypothesis should be rejected:

Hypothesis: Turn the Tide 5 grants a flat +25% Critical Chance under satisfactory conditions (<50% HP).

― Information about the battle setup:

※ Critical Chance Setup

Critical, excluding TtT5:

Base ― 5% → 0.05

Critical Mastery Bonus ― +0% → +0.00

Stat Bonus Crit ― +3% → +0.03

Hypothesis:

TtT5 will grant a flat +25% Critical Chance.

Expected Critical Chance ― 5% + 0% + 3% + 25% = 33% → 0.33

Rejection of hypothesis:

TtT5 does not grant a flat +25% Critical Chance.

Expected Critical Chance ― 5% + 0% + 3% + 0% = 8% → 0.08

※ Character / Enemy Information

Relevant Character Stats:

Strength: 85 (before Turn the Tide 5)

No Strength buffs [or debuffs] were used on the Pirate during testing.

Relevant Enemy Information:

Enemy: Diskylos

No Strength [buffs or] debuffs were used on Diskylos during testing

※ Accepted Attacks

Any attack the Pirate uses that does not have an inherent property of increased Critical is counted as long as Turn the Tide 5 is active when the attack happens.

This includes, but is not limited to:

― basic attacks

― Buccaneer charges

― Relentless 2 / Blade Storm 3

Results + Conclusion

A total of 345 attacks were recorded (over a period of approximately 2 hours and 50 minutes).

Of the 345 attacks dealt, only 26 of those attacks were Critical hits, yielding a proportion of ~0.07536 (~7.536% Critical Chance).

Using the hypothesis stated above, I obtained az-score of -10.05860716.

The correspondingp-value is 4.2090 ✕ 10.^{-24}

This means that if the hypothesis is true, then the probability of obtaining a Critical hit proportion of 0.07536 over 345 attacks (26 Critical hits over 345 attacks) would be approximately4.2090 ✕ 10.^{-24}

This is highly unlikely, so I reject the hypothesis.

I conclude that it is likely that Turn the Tide 5 does not give a flat +25% Critical Chance when below 50% HP.

Oh, and just to emphasize the p-value....

That value is actually ~0.00000000000000000000000420904288106316....

[That's23 zeros after the decimal point, before the first nonzero digit....]

My Thoughts

With these results,I conclude that either Turn the Tide 5 grants +25% of yourEither way, it appears to be the case that Turn the Tide 5 is not worth going for if you can obtain Turn the Tide 4.baseCritical Chance when below 50% HP (+1.25% Critical Chance, which is basically negligible), or Turn the Tide 5 does not grant Critical Chance at all.

Unfortunately, I do not have the time to analyze whether Turn the Tide 5 grants +25% of your base Critical Chance when below 50% HP.

Such an experiment would require a stricter set of test conditions andat least1,500 trials.... (approximately 13 hours of testing)

Thank you for reading this post. (It might as well be a short report, considering how I've structured it....)

If you have any questions about this, feel free to ask, and I'll try my best to answer as quickly as possible.

[I will likely be sending an email to KI Support in a day or two regarding TtT5 not granting +25% Critical Chance below 50% HP, linking this thread and the spreadsheet (with the raw test data) as supporting evidence.]

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