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Some Statistics from the first 25 sessions of my last 3E campaign
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<blockquote data-quote="Umbran" data-source="post: 4057575" data-attributes="member: 177"><p>Sample size = number of items being averaged. When he did it for the campaign as a whole, he had 35 items. For each level individually, he's probably looking at more like ten. Ten is smaller than 35.</p><p></p><p>The basic use of an average is to find the value around which the items tend to cluster. The more items you have in your sample, the more likely you'll be able to find the signal (central value) in the random noise, as the various random factors will tend to cancel each other out, and each one has less influence on the entire group.</p><p></p><p>Taken the other way - the smaller the sample, the more likely the average has been skewed by some random factor, or some short-term systematic influence that is not representative of the whole campaign.</p><p></p><p>In general, if you have a sample of size N, the random error in that sample is expected to go like 1/sqrt(N). Or, in order to cut the random error in half, you have to <em>quadruple</em> the sample size. So, going from a sample of 35 to something more like 10 is greatly increasing the expected random error in his sample.</p></blockquote><p></p>
[QUOTE="Umbran, post: 4057575, member: 177"] Sample size = number of items being averaged. When he did it for the campaign as a whole, he had 35 items. For each level individually, he's probably looking at more like ten. Ten is smaller than 35. The basic use of an average is to find the value around which the items tend to cluster. The more items you have in your sample, the more likely you'll be able to find the signal (central value) in the random noise, as the various random factors will tend to cancel each other out, and each one has less influence on the entire group. Taken the other way - the smaller the sample, the more likely the average has been skewed by some random factor, or some short-term systematic influence that is not representative of the whole campaign. In general, if you have a sample of size N, the random error in that sample is expected to go like 1/sqrt(N). Or, in order to cut the random error in half, you have to [i]quadruple[/i] the sample size. So, going from a sample of 35 to something more like 10 is greatly increasing the expected random error in his sample. [/QUOTE]
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Some Statistics from the first 25 sessions of my last 3E campaign
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