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Array v 4d6: Punishment? Or overlooked data
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<blockquote data-quote="billd91" data-source="post: 8815517" data-attributes="member: 3400"><p>Proves? Not the assertion that a preponderance of evidence is that groups are average higher than the baseline. And that's because the same math that tells us that the odds of the entire group (of 5) being below the mean is low also tells us that the entire group being above the mean is also low (5-ish%).</p><p></p><p>What this is mostly telling us is that the point buy and array mean is rounding-error close to the mean for 4d6k3 but a hint below and that does put the die rolling average a little higher overall. The designers could probably make either non-rolled method a little more attractive by increasing the mean to 13 rather than 12 or goosing it a little upward to get a mean of 12.5.</p><p></p><p>None of this, of course, affects many reasons people choose for rolling including:</p><p>1) having stat values be independently generated (no reducing one to get a better value for another)</p><p>2) discovering their PC's assets spontaneously</p><p>3) the fun of cheering a good result around the table, jeering a poor one</p><p></p><p></p><p>Ah, here we're back to insinuations about people's integrity - both in hiding their "true" intentions and in actually cheating.</p></blockquote><p></p>
[QUOTE="billd91, post: 8815517, member: 3400"] Proves? Not the assertion that a preponderance of evidence is that groups are average higher than the baseline. And that's because the same math that tells us that the odds of the entire group (of 5) being below the mean is low also tells us that the entire group being above the mean is also low (5-ish%). What this is mostly telling us is that the point buy and array mean is rounding-error close to the mean for 4d6k3 but a hint below and that does put the die rolling average a little higher overall. The designers could probably make either non-rolled method a little more attractive by increasing the mean to 13 rather than 12 or goosing it a little upward to get a mean of 12.5. None of this, of course, affects many reasons people choose for rolling including: 1) having stat values be independently generated (no reducing one to get a better value for another) 2) discovering their PC's assets spontaneously 3) the fun of cheering a good result around the table, jeering a poor one Ah, here we're back to insinuations about people's integrity - both in hiding their "true" intentions and in actually cheating. [/QUOTE]
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