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Re: Statistics Question


  • Subject: Re: Statistics Question
  • From: Art Burke <aburke@VANSD.ORG>
  • Date: Mon, 28 Jan 2002 12:58:23 -0800
  • Reply-to: Assessment Reform Network Mailing List <ARN-L@LISTS.CUA.EDU>
  • Sender: Assessment Reform Network Mailing List <ARN-L@LISTS.CUA.EDU>

A "normal" distribution makes it easy to interpret scores - if you know the score you know what percentage of test-takers scored above and below that point. This is why the distribution of raw scores is "normalized" during the process of preparing the scaled scores used in reporting the results of standardized tests.

A "uniform" or "rectangular" distribution is one in which all outcomes have the same probability of occuring. (The outcomes of rolling a fair die are one example.) Percentile ranks are sometimes (sloppily) said to follow a rectangular distribution.

Art

>>> eddie185@YAHOO.COM 01/28 12:36 PM >>>
To: ARN-L

My statistical comprehension is apparently (based on NY State's definition)
only a "2" (Does Not Meet Standard). In an effort to understand what
"norm-referenced" means, I have a (perhaps naive) question.

Don't the people who construct standardized, norm-referenced exams seek to
atttain a bell-shaped curve when they norm the tests on a sample group prior to
selling the test to the public?

And, how is a rectangular (AKA "uniform") distribution possible if a test is
"properly" normed?

Thanks in advance to the person or persons who help me out of this quandary.



=====
Edward J. Levine, Ed.D.
NYC Board of Education
110 Livingston St. (306A)
Brooklyn, NY 11201
email: elevine@nycboe.net
phone: (718) 935-3044

=====
Edward J. Levine, Ed.D.
NYC Board of Education
110 Livingston St. (306A)
Brooklyn, NY 11201
email: elevine@nycboe.net
phone: (718) 935-3044

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