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st: RE: what's the big T in the t-test results


From   "Nick Cox" <n.j.cox@durham.ac.uk>
To   <statalist@hsphsun2.harvard.edu>
Subject   st: RE: what's the big T in the t-test results
Date   Tue, 15 Jun 2010 21:17:11 +0100

T is the random variable of which t is the sample realisation. 

Alternatively, Student's t test is for determining whether a lady can
distinguish between two sets of cups of tea in which milk is poured
before or after the tea. (Garbled history of statistics.) (If no ladies
are available, use students instead.) 

Nick 
n.j.cox@durham.ac.uk 

Airey, David C

What are the capital Ts in the results printed out after using ttest,
e.g.,

Pr(T < t), Pr(|T| > |t|), or Pr(T > t)

for the one-tailed and two-tailed HAs? I interpret the p values as the
probability that the sample mean came from the null sampling
distribution, but what is the English for Pr(T > t)?


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