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re: "Half the schools are below average" - not always true

Posted on 10/1/14 at 5:23 pm to
Posted by buckeye_vol
Member since Jul 2014
35242 posts
Posted on 10/1/14 at 5:23 pm to
quote:

Actually nature is usually more skewed than normal. The stock market learned that the hard way in 1987. Simply presuming a normal distribution without evidence is a serious folly.


Look I think The Black Swan is a great book as you seem to be using Taleb's argument, but you're misapplying his argument. He differentiated between that do not have an underlying normal distribution, and instead have fatter tails due to extreme, disproportionate outliers and variables that do have an underlying distribution. Test scores would fall in the latter groups for a number of reasons that I explained in an earlier post.
Posted by SpidermanTUba
my house
Member since May 2004
36128 posts
Posted on 10/1/14 at 5:26 pm to
quote:



Look I think The Black Swan is a great book
never read it

quote:

Test scores would fall in the latter groups for a number of reasons that I explained in an earlier post.


Not of the reasons you explained in an earlier post are correct reasons.

The central limit theorem only applies when the sample is randomly selected. In this case the sample is chosen by school.

Ignoring the political impossibility of it - are you seriously telling me its mathematically impossible for a state to allocate 100% of its education resources to 10% of the schools and 0% to 90% of the schools, thus creating a system with 90% of the schools below average - regardless of the number of schools involved?




This post was edited on 10/1/14 at 5:32 pm
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