I wouldn't say Dota is a reaction time game, more a decision making game. People make the wrong decisions. Last hitting relies on timing and even with a large ping (providing it is not too variable) you can account for that.
I'd disagree that it has a big impact. The difference between the best and worst players is not their 'twitch' reaction times but their strategy and game knowledge. Dota is nothing like a first person shooter where reaction times are way more important. Everything in dota is massively delayed anyway, cast times animations etc, a few milliseconds is rarely important in a pub game. Bad players are bad because they don't react at all because they don't know what to react to.
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Probably the difference between a carry and a support player maybe.
Lets take a game yesterday that was played.
>Nyx goes on dazzle with ult and drops him to about 100 hp
>I see that and get an instant hex and we take him down
>Dazzle then proceeds to heal/Shallow grave our carry conceding kill and a rax
That right there was reaction time not decision making.
Decision making is in play as to when to fight and where.
Reaction time is what makes the that team fight go in your favor as they work hand in hand with each other and both are as equally important as the other.
Hey, wave is back. How many calibration matches ya got now?
OT - good reaction time can be as game deciding as anything else. Stopping that game-changing five man rp, timing a perfect sleight-chains combo on an out - of - position am - all these plays are based on reaction time and have the potential to turn the game.
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Ok. After reading http://dotabuff.com/blog/2014-03-02-master-of-the-ui--part-2?page=1#comment-146335 I found it really good. Especially the turn radius part. I was finding it harder and harder to juke and escape nowadays compared to dota 1. Also forcing you to really just bee-line & phase boots chasing.
Anyways I would like to say add more stuff to it. Say, monitor refresh rate/response time, human reaction time, mouse polling rate, server ping.
Anyways here's my estimate:
Typical monitor input lag: 5 ms to 30 ms
Typical monitor refresh rate: 60 Hz (16.7 ms per screen redraw)
Human response time* (from light hitting eye to hand movement): 225ms +/-50
mouse polling (125 to 1000): 1-7ms
Server ping: 50-130ms (90 average)
5+16.7+250+1+90= 338ms or 1/3 second.
Reduction:
Gaming mouse vs. stanard mouse 1-7ms reduction
asus 144hz vs. 60hz LCD: -6 to 26ms
Playing only on local servers: 25-50ms
not being tired or drunk: 50-300ms
In conclusion 144hz & gaming mouse help at most 32ms. The biggest improvement is improving reaction time or gettting rest as well as playing on local servers.
further reads:
http://www.anandtech.com/show/2803
practice your reaction time:
http://www.mathsisfun.com/games/reaction-time.html
some monitor input times:
http://www.tftcentral.co.uk/reviews/asus_vg278he.htm
http://www.humanbenchmark.com/tests/reactiontime/