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NAEP Sample Design → Sample Design for the 2001 Assessment → National Main Assessment Sample Design in 2001 → Student Sample Selection for the 2001 National Main Assessment → Within-School Sampling Rates for the 2001 National Main Assessment

NAEP Technical DocumentationWithin-School Sampling Rates for the 2001 National Main Assessment

Let L equal the maximum allowable sample size from an individual school (60 for grade 4; 100 for grade 8; and 100 for grade 12). Let G_i be the revised estimate of grade eligible students for school i. Then the sampling rate, denoted by R, applied to the list of eligible students to select the sample was defined as follows:

• R = L/G_i, if G_i > (L + 10); or

• R = 1, otherwise.

It should be noted that many schools requested that all of their grade-eligible students should be taken even though they were over the maximum limits (70 for fourth grade; 110 for eighth and twelfth grades). These schools were accommodated in their requests. The total number of schools in this category were as follows:

• 14 fourth-grade schools (with a mean value of 88.6 grade-eligible students),

• 7 eighth-grade schools (with a mean value of 128.7 grade-eligible students), and

• 7 twelfth-grade schools (with a mean value of 140 grade-eligible students).

Three schools (1 in fourth grade and 2 in eighth grade) requested that whole classrooms be selected rather than students. These schools were accommodated in their request. A without-replacement simple random sample was taken of the classrooms in these schools. The reciprocals of the classroom selection rates were incorporated into the student weights for these schools.

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