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Comparing Monk DPR
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<blockquote data-quote="FrogReaver" data-source="post: 8228320" data-attributes="member: 6795602"><p>Not even rounds. Damage is cumulative over multiple rounds. For example, the expected value of 2 rounds of attacks is twice as much as the expected value of a single round of attacks. Because the expected value scales linearly with the number of rounds it's easy to talk about the per round damage (DPR) in a meaningful way. That's not the case with variance though. Your variance for a single round of attacks is not the same as your variance for 2 rounds of attacks which is not the same as your variance for 3 rounds of attacks - and there's no easily discernable pattern that we can model how the variance changes with the number of rounds. It's not linear and is a fairly complex mathematical computation to arrive at.</p><p></p><p>Trying to summarize: DPR is not actually Expected Value (mean) - <em>albeit highly related via giving us a y=Ax formula for the expected value where y is the expected value, A the DPR, and x the number of rounds</em>. Variance is a measure that should be spoken of alongside expected value and not alongside DPR.</p></blockquote><p></p>
[QUOTE="FrogReaver, post: 8228320, member: 6795602"] Not even rounds. Damage is cumulative over multiple rounds. For example, the expected value of 2 rounds of attacks is twice as much as the expected value of a single round of attacks. Because the expected value scales linearly with the number of rounds it's easy to talk about the per round damage (DPR) in a meaningful way. That's not the case with variance though. Your variance for a single round of attacks is not the same as your variance for 2 rounds of attacks which is not the same as your variance for 3 rounds of attacks - and there's no easily discernable pattern that we can model how the variance changes with the number of rounds. It's not linear and is a fairly complex mathematical computation to arrive at. Trying to summarize: DPR is not actually Expected Value (mean) - [I]albeit highly related via giving us a y=Ax formula for the expected value where y is the expected value, A the DPR, and x the number of rounds[/I]. Variance is a measure that should be spoken of alongside expected value and not alongside DPR. [/QUOTE]
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