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So 5 Intelligence Huh
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<blockquote data-quote="BoldItalic" data-source="post: 6830686" data-attributes="member: 6777052"><p>As a rider to that, my wife uses Perception. She sees intuitively where the pieces go. Between us, we do just fine.</p><p></p><p>Insofar as IQ represents the ability to solve mental problems, Investigation and Perception both contribute to it. You can use either or both on the same problem (although using both at once is likely to be more successful more quickly). One represents deductive reasoning and the other represents inductive reasoning. So mapping from game numbers to an IQ score ought, it seems to me, to take account of both.</p><p></p><p>For example: IQ = [ Investigation Adjustment + Perception Adjustment ] x7.5 + 100</p><p></p><p>The average and standard deviation come out about right. If 3d6 ability rolls represent the general population, the variance of an ability roll is 8.75 so the SD of an ability adjustment (which is half the ability score with a constant offset) is sqrt(8.75)/2. Adding two independent variants together has an SD that is sqrt(2) times bigger, so that comes to sqrt(4.375). To make the SD of the IQ score come to 15 or 16 (which IQ tests are commonly normalised to) we need a factor of about 7.2 or about 7.6. I've called it 7.5 for convenience. </p><p></p><p>On this basis, Lefty has an IQ of 130. He's bright and he's more inclined to solve problems by intuition than calculation. He can <em>see</em> how the pieces of a lock function and how to operate them; he doesn't need to measure the lengths of the tumblers and use trigonometry to do it.</p><p></p><p>I like that. I'm comfortable with that. I know how to role-pay Lefty, now.</p></blockquote><p></p>
[QUOTE="BoldItalic, post: 6830686, member: 6777052"] As a rider to that, my wife uses Perception. She sees intuitively where the pieces go. Between us, we do just fine. Insofar as IQ represents the ability to solve mental problems, Investigation and Perception both contribute to it. You can use either or both on the same problem (although using both at once is likely to be more successful more quickly). One represents deductive reasoning and the other represents inductive reasoning. So mapping from game numbers to an IQ score ought, it seems to me, to take account of both. For example: IQ = [ Investigation Adjustment + Perception Adjustment ] x7.5 + 100 The average and standard deviation come out about right. If 3d6 ability rolls represent the general population, the variance of an ability roll is 8.75 so the SD of an ability adjustment (which is half the ability score with a constant offset) is sqrt(8.75)/2. Adding two independent variants together has an SD that is sqrt(2) times bigger, so that comes to sqrt(4.375). To make the SD of the IQ score come to 15 or 16 (which IQ tests are commonly normalised to) we need a factor of about 7.2 or about 7.6. I've called it 7.5 for convenience. On this basis, Lefty has an IQ of 130. He's bright and he's more inclined to solve problems by intuition than calculation. He can [i]see[/i] how the pieces of a lock function and how to operate them; he doesn't need to measure the lengths of the tumblers and use trigonometry to do it. I like that. I'm comfortable with that. I know how to role-pay Lefty, now. [/QUOTE]
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