From 42f349e5f0037ecc728d00478960469997cbb5fe Mon Sep 17 00:00:00 2001 From: "Paul A. Bristow" Date: Thu, 27 Sep 2007 17:28:15 +0000 Subject: [PATCH] Cosmetic - changed bolding a tiny bit. [SVN r39580] --- doc/distributions/students_t_examples.qbk | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/doc/distributions/students_t_examples.qbk b/doc/distributions/students_t_examples.qbk index 51075b669..7b1c4dcf1 100644 --- a/doc/distributions/students_t_examples.qbk +++ b/doc/distributions/students_t_examples.qbk @@ -266,19 +266,19 @@ can be summarised in the following table: `cdf(complement(dist, fabs(t))) < alpha / 2`]] -[[The Alternative-hypothesis: there is -*difference* in means] +[[The Alternative-hypothesis: there +*is difference* in means] [Reject if complement of CDF for |t| > significance level / 2: `cdf(complement(dist, fabs(t))) > alpha / 2`]] -[[The Alternative-hypothesis: the sample mean is *less* than +[[The Alternative-hypothesis: the sample mean *is less* than the true mean.] [Reject if CDF of t > significance level: `cdf(dist, t) > alpha`]] -[[The Alternative-hypothesis: the sample mean is *greater* than +[[The Alternative-hypothesis: the sample mean *is greater* than the true mean.] [Reject if complement of CDF of t > significance level: @@ -289,7 +289,7 @@ the true mean.] Notice that the comparisons are against `alpha / 2` for a two-sided test and against `alpha` for a one-sided test] -Now that we have all the parts in place let's take a look at some +Now that we have all the parts in place, let's take a look at some sample output, first using the [@http://www.itl.nist.gov/div898/handbook/eda/section4/eda428.htm Heat flow data] from the NIST site. The data set was collected @@ -597,8 +597,8 @@ complement of the probability: Here we've used the absolute value of the t-statistic, because we initially want to know simply whether there is a difference or not (a two-sided test). However, we can also test whether the mean of the second sample is greater -or less than that of the first: all the possible tests are summed up -in the following table: +or is less (one-sided test) than that of the first: +all the possible tests are summed up in the following table: [table [[Hypothesis][Test]] @@ -634,7 +634,7 @@ For a two-sided test we must compare against alpha / 2 and not alpha.] Most of the rest of the sample program is pretty-printing, so we'll skip over that, and take a look at the sample output for alpha=0.05 (a 95% probability level). For comparison the dataplot output -for te same data is in +for the same data is in [@http://www.itl.nist.gov/div898/handbook/eda/section3/eda353.htm section 1.3.5.3] of the __handbook.