Dear Tipsters,

 

Many thanks for Chris for a very informative answer re: t.

 

Stuart

 

___________________________________________________________________

 

Stuart J. McKelvie, Ph.D.,     Phone: (819)822-9600, Extension 2402

Department of Psychology,              Fax: (819)822-9661

Bishop's University,

2600 College Street,

Sherbrooke (Borough of Lennoxville),

Québec J1M 0C8,

Canada.

 

E-mail: [EMAIL PROTECTED]

 

Bishop's University Psychology Department Web Page:

http://www.ubishops.ca/ccc/div/soc/psy 
<blocked::http://www.ubishops.ca/ccc/div/soc/psy> 

___________________________________________________________

________________________________

From: Christopher D. Green [mailto:[EMAIL PROTECTED] 
Sent: November 8, 2007 10:16 AM
To: Teaching in the Psychological Sciences (TIPS)
Subject: Re: [tips] Is fat fatal? [but stout is vital]

 


Stuart McKelvie wrote: 

I think I read it somewhere but I have forgotten...
Chris, why did Student call it "t"?
 
  

Apparently it was arbitrary. It seem that Gosset used z, and Fisher changed it 
to t. According to the entry under "Student's T Distribution" at: 
http://members.aol.com/jeff570/s.html :

"In his 1908 paper, "The Probable Error of a Mean" 
<http://www.york.ac.uk/depts/maths/histstat/student.pdf> , Biometrika, 6, 1-25 
Gosset introduced the statistic, z, for testing hypotheses on the mean of the 
normal distribution. Gosset used the divisor n, not the modern (n - 1), when he 
estimated  and his z is proportional to the modern t with t = z sqrt (n - 1). 
Fisher introduced the t form because it fitted in with his theory of degrees of 
freedom (q.v.). Fisher used the t symbol and described Student's distribution 
(and others based on the normal distribution) and the role of degrees of 
freedom in "On a Distribution Yielding the Error Functions of Several well 
Known Statistics" <http://www.library.adelaide.edu.au/digitised/fisher/36.pdf> 
, Proceedings of the International Congress of Mathematics, Toronto, 2, 
805-813. Although the paper was presented in 1924, it was not published until 
1928 (Tankard, page 103; David, 1995). According to the OED2, the letter t was 
chosen arbitrarily. A new symbol suited Fisher for he was already using z for a 
statistic of his own (see entry for F)."
================

Chris Green
York U.
Toronto, Canada

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