In response to Fabio's comments:  If you just start by saying "what's
the optimal number of math or english PhDs" then obviously you are going
to get nowhere.  A better procedure, however, is to say that the current
situation is non-optimal if it is based upon arbitrary factors.

   In particular, the distribution of students and budgets can't be
optimal if it is based on the fact that some professors and disciplines
arbitrarily grade easier than other professors and disciplines.  Thus,
rather than say "I think there should be more math and science degrees"
I say "I think the choice of what degree to puruse should not be based
on an arbitrary grade inflation factor." 

Alex

P.S.  I very much doubt that such a system is second-best optimal.  Here
is a test for all such arguments (in this and in other contexts).  If
all disciplines and professors graded on a common scale would anyone
argue in *favor* of grade inflation in English?  I seriously doubt it -
thus such ex-post rationalizations should be given little weight (even -
perhaps especially! - if they come from exceedingly clever people like
Fabio). 

P.P.S.  I was not reading the NYTimes this morning but I did find what
Fabio was referring to, an article by Valen Johnson.  Available here:

http://www.nytimes.com/2002/04/14/edlife/14ED-VIEW.html

Several years ago in Statistical Science, Johnson proposed a grading
scheme that would overcome the grade inflation problem.  You can find
the paper on his home page, but to make a long story short the essential
idea is to downweight an A from a professor/discipline that gives all As
(and thus provides little discriminating information) and to upweigh an
A from a professor/discipline where there are As and Cs.
   
    I was enthusiastic about Johnson's proposal when I brought it up on
this list some time ago.  There was some discussion then, I think Robin
had some critiques - check the archives.

Alex
  


-- 
Dr. Alexander Tabarrok
Vice President and Director of Research
The Independent Institute
100 Swan Way
Oakland, CA, 94621-1428
Tel. 510-632-1366, FAX: 510-568-6040
Email: [EMAIL PROTECTED]

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