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Cosmetic - changed bolding a tiny bit.
[SVN r39580]
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@@ -266,19 +266,19 @@ can be summarised in the following table:
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`cdf(complement(dist, fabs(t))) < alpha / 2`]]
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[[The Alternative-hypothesis: there is
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*difference* in means]
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[[The Alternative-hypothesis: there
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*is difference* in means]
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[Reject if complement of CDF for |t| > significance level / 2:
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`cdf(complement(dist, fabs(t))) > alpha / 2`]]
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[[The Alternative-hypothesis: the sample mean is *less* than
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[[The Alternative-hypothesis: the sample mean *is less* than
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the true mean.]
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[Reject if CDF of t > significance level:
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`cdf(dist, t) > alpha`]]
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[[The Alternative-hypothesis: the sample mean is *greater* than
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[[The Alternative-hypothesis: the sample mean *is greater* than
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the true mean.]
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[Reject if complement of CDF of t > significance level:
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@@ -289,7 +289,7 @@ the true mean.]
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Notice that the comparisons are against `alpha / 2` for a two-sided test
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and against `alpha` for a one-sided test]
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Now that we have all the parts in place let's take a look at some
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Now that we have all the parts in place, let's take a look at some
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sample output, first using the
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[@http://www.itl.nist.gov/div898/handbook/eda/section4/eda428.htm
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Heat flow data] from the NIST site. The data set was collected
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@@ -597,8 +597,8 @@ complement of the probability:
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Here we've used the absolute value of the t-statistic, because we initially
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want to know simply whether there is a difference or not (a two-sided test).
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However, we can also test whether the mean of the second sample is greater
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or less than that of the first: all the possible tests are summed up
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in the following table:
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or is less (one-sided test) than that of the first:
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all the possible tests are summed up in the following table:
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[table
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[[Hypothesis][Test]]
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@@ -634,7 +634,7 @@ For a two-sided test we must compare against alpha / 2 and not alpha.]
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Most of the rest of the sample program is pretty-printing, so we'll
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skip over that, and take a look at the sample output for alpha=0.05
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(a 95% probability level). For comparison the dataplot output
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for te same data is in
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for the same data is in
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[@http://www.itl.nist.gov/div898/handbook/eda/section3/eda353.htm
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section 1.3.5.3] of the __handbook.
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