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Re: CTA President on state assessment system
- Subject: Re: CTA President on state assessment system
- From: George Sheridan <learn@JPS.NET>
- Date: Sun, 1 Dec 2002 17:35:45 -0800
- In-reply-to: <00c501c29994$2498abf0$3301a8c0@mando>
- Reply-to: Assessment Reform Network Mailing List <ARN-L@LISTS.CUA.EDU>
- Sender: Assessment Reform Network Mailing List <ARN-L@LISTS.CUA.EDU>
At 06:48 PM 12/1/2002 -0500, Karen Cole wrote:
As I understand it, a score on a norm-referenced test compares the test
taker to the norming sample group, not to his/her co-test-takers. Is this
right, and if so, does this mean the Woebegone (everyone above average)
effect is technically possible? Not that it matters if it's an irrelevant
test - I'm just curious.
It's conceivable - we can imagine it, but it can't happen, at least until
an infinite number of monkeys have typed the complete works of Shakespeare.
Considering the laws of chance, there is a significant probability it will
happen in some classes. It can happen in a whole school if the population
now taking the test is sufficiently different from the norming population.
If the number of test takers is large enough, you should expect some to
fall below the 50th percentile no matter what.
There actually appears to be something like the opposite of the Lake
Woebegone effect with the SAT-9 at the high school level. In all the states
I've heard about, the average student score is below the 50th percentile.
Perhaps the norming group was not really representative.
At all grade levels, California's student population is significantly
different from the norming group for SAT-9 - with a much higher percentage
of students from low-income families and an immigrant population that is
orders of magnitude greater than the percentage of immigrants in the
norming group. Thus, for the average score in California to equal the
"national average" - the average score of the norming group - would be a
tremendous accomplishment.
When we talk about all students scoring above average we are in the realm
of what George Schmidt calls "unicorn studies."
George Sheridan
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