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NAEP Technical DocumentationNew-School Sample Selection for the 2003 State Assessment

			New-School Samples for the 2003 State Assessment

A sample of new and newly eligible schools was selected from the new-school sampling frame, for both fourth and eighth grades and within each jurisdiction that reported new schools. The basic process started with a measure of size based on the estimated grade enrollment of the new or newly eligible school, and the b_j and u_j values for the jurisdiction (as outlined in the sample selection).  The formula for measure of size is as follows:

where

• E_js is the expected number of hits for school s in jurisdiction j.

• b_j is the proportionality constant for jurisdiction j for the measured grade (fourth or eighth).

• MOS_js is the initial measure of size for school s in jurisdiction j.

• u_j is the upper bound constraint for the expected number of hits.

This measure of size was divided by the district's probability of selection in the new-school district sample. If this measure of size was greater than 1, in some cases it was trimmed to avoid a too-large burden on the school.

With the measures of size computed, an implicitly stratified sample was drawn, with jurisdiction, district, and grade enrollment forming the hierarchical sorting scheme.

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