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Statistical analysis? Try extrapolating. It is approximately at the given value after a certain amount of n.
Basically in statistical analysis, extrapolating is always an estimate and not accurate at best.
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for each hit there's a 16% chance of scoring a bash, unless you're saying out of 100 hits there WILL be 16 bashes then it might not be truly random, even so there's still randomness as you don't know which 16 hits will bash, unless of course if it's fixed that the 6th hit will score a bash and so on
Yes it is true you do not know which 16 hits will bash. But if a large enough sample size is taken, approximately 16% of your hits consists of Greater Bash, if it is truly random. Plus minus some percentage. The larger your sample size, the smaller you deviation from the ideal figure would be.
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basically you're not explaining your claim of things not being random
Yes I agree. Sorry for not doing so but here I go
BackgroundActually back when me and my friends were crazy about DotA (well now we really lost all our enthusiasm), we did many many tests on it. One of it was the random-ness of the dmg dealth by a certain hero.
Hero of choice Chaos Knight, at lvl 1 he has a dmg range of 33-73 (as according to 5.67), which was the largest range around among the DotA heroes, and seemed the most ideal candidate for a random-ness test by measuring his damage over time.
Experiment DesignThe sample involves 50 level 1 melee creeps. We had a team of 10 people and each of us would note down the HP of the creep before and after the damage was dealt, which after mathematical processing would show the damage dealt. Regen of the creep was considered negliegeble. If the Chaos Knight should level up, the game would be restarted and the experiment continue. Any waves of creeps that are suspected to be relatively close to the tower would not be calculated in fear that should the creeps come close to the tower for any reason it would make the calculation difficult. Another 4 heroes was selected and placed in the same lane as chaos knight to delay its leveling up time.
Results were mainly separated into 2 sections. Mainly, the dmg dealt before the creeps HP is above 200 (Table 1) and below (Table 2). Note that the creep had approximately 800 HP as its maximum HP thus our hypothesis was that the dmg dealt would be different as the creep's HP hits below 25% and therefore be shown not random as all. The figure 25% was selected simply because this number being relatively significant as according to our opinions. The same judgement was made for the sample size chosen.
ResultsA graph of score against damage dealth was plotted. The score represents the number of times a certain dmg has been dealt. According to the graoh, table 1 results yielded an almost perfect bell-shape curve (Figure 1) whereas for table 2 a graph that was unequally skewed to both lefft and right was yielded (Figure 2). A shape that is in sharp contrast to the former.
DiscussionAccording to figure 1, the yielding of an almost perfect bell-shape curve, in contrast to figure 2, an unequally skewed graph, shows a sharp contrast in the scores between the tables. The results obtained was in accordance to the hypothesis. If the dmg dealt was random, there should not be a significant difference between the 2 graphs. The sample size chosen was believed to be large enough to accomodate such a conclusion.
ConclusionIn conclusion, the damage dealt by a DotA hero, is assumed to not be random, with Chaos Knight as a reference.
Although not much explanation is done right here, I believe the data would be enough.
This post has been edited by Yukito: Mar 30 2006, 09:55 AM