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NAEP Technical DocumentationSchool Base Weights for New Schools

New schools were selected from a new school frame, which, in turn, was developed from a canvassing of schools from selected school districts. The overall probability of selection for new schools pi subscript s contains a factor for the probability of selection of the school district, and a factor for selection of the new school within the sampled school district. In some cases for small districts (with a low probability of selection of the school district), pi subscript s superscript minus 1 was very large. To avoid efficiency losses, in these cases the weighting factor for new schools was a trimmed version of pi subscript s superscript minus 1, attaching to the school base weights a trimming factor TRIMs, computed as follows:

 TRIM subscript s equals bracket 3E superscript -1 subscript 5 divided by pi subscript s superscript -1 if pi subscript s superscript -1 divided by E subscript s superscript -1 is greater than 3 or 1 if otherwise, close bracket

Es-1 is the weight the school would have received if its grade enrollment measure of size Es determined its probability of selection, with no district sampling. If the final school weight pi subscript s superscript minus 1 is more than three times larger than Es-1, the school weight is trimmed back to effectively equal 3 Es-1. If the final weight pi subscript s superscript minus 1 is less than three times larger than Es-1, then the school weight is left as pi subscript s superscript minus 1.


Last updated 24 June 2008 (PE)

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