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**BORF**:

Would taking armor into account change anything? I'm too tired to think through the math right now but would like to know.

Think of the armor an opponent has as a static reduction. No matter which build you choose, he has the same amount of damage reduction from armor. Thus no matter what you choose he reduces the total by a static amount. With this information in hand, you should choose to increase whichever stat increases your dps by the greatest marginal amount.

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before reaching 100% CC, is it better to increase Attack damage or Critical chance? or both at the same time?

You need to know the current levels of your statistics before you can answer this question. Use the same logic as in my above post to compare marginal damage.

(1-CC)+(CC*CD)>Atk(CD-1)?

Plug in the values of interest and you should receive the results of which you should increase. Remind yourself that this is on margin. If the left side is greater, it's better to stack Atk. Using just the approx values of rune levels it seems that:

(1-.2)+(.2*2.5)>25(2.5-1)?

1.3>37.5

It is far better to stack crit chance marginally before you reach the 100% cap. What I would advise you, from having played 300 games though, is that you need to use your judgment as to which stat to increase. Certain games you will be stomping the opposition and can wait to increase your stats in the most effective ways. Other times you will be having difficulty, the opponents are winning, and it may give you the best results to compromise and increase less efficient stats to try and "even" the game up.

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While crit chance is definitely better early game since a full T3 page is 20% crit so you can reliably crit everything. I find that once mid game comes and you have crit items and whatnot. regardless of the extra 20% crit or not you will have crit streaks when trying to kill heroes and then the extra 50% crit damage will be really nice. From a statistical point of view the 20% crit chance will make you crit more reliably but when playing you won't feel the difference. All you see are crit streaks and how much you crit for.

In the end the difference isn't big unless you are at 100% crit. I always go for what feels the best because if it feels good you will play good.

All I can tell you is that I definitely notice 20% crit at the start of the game. It is empowering and you crit 1 more out of 5 times. As you begin accumulating more crit chance, you will notice less and less, but in the scheme of things, you will do 20% more damage assuming you only did physical attacks. With a larger sample size, your mean number of crits will average out to the expected value of crits (aka your crit chance). If your crit chance is 20% lower, then as your sample size increases, the probability that you will crit will be 1/5 lower than if you chose the crit chance rune page. This is the central limit theorem.