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NAEP Technical DocumentationComputation of School Nonresponse Adjustments

       

Development of School Nonresponse Cells for the Fourth- and Eighth-Grade Public School Samples

Development of School Nonresponse Cells for Twelfth-Grade Public School Samples

Development of School Nonresponse Cells for Private School Samples

 

The school response experience in the NAEP 2002 national main assessment was such that response rates varied widely across the subject areas and grades. Adjustments for school nonresponse were made in the weights through weighting cell adjustment.

The starting point for a cell structure was the strata from the school sampling process. When cells based on the strata were too small to allow for stable nonresponse adjustment, cells were collapsed. The final school nonresponse weighting cells are designated as SNRADJc(A), c = 1,...,C(A), where C(A) is the total number of weighting cells. The school nonresponse adjustments were computed as follows for each nonresponse weighting cell:

SNRADJ subscript c superscript left parenthesis A right parenthesis end superscript equals the summation over s a member of S subscript c superscript left parenthesis A right parenthesis end superscript of pi subscript s superscript -1  times SCHSES subscript s superscript left parenthesis A right parenthesis end superscript times TRIM subscript s times x subscript s times SUBADJ subscript s divided by the summation over s a member of R subscript c superscript left parenthesis A right parenthesis end superscript of pi subscript s superscript -1  times SCHSES subscript s superscript left parenthesis A right parenthesis end superscript times TRIM subscript s times x subscript s times SUBADJ subscript s

where

  • Sc(A) is the set of all eligible original Session A schools in cell c;

  • Rc(A) is the set of all responding schools within Sc(A);

  • pi subscript s superscript 1-* SCHSESs(A) is the Session A school weight;

  • TRIMs is the trimming factor for new and private schools;

  • xs is the school's estimated enrollment; and

  • SUBADJs is the substitution adjustment factor to account for the difference in size between the substitute and its corresponding original school.1

1 Note the value of each TRIMs and SUBADJs is 1 for schools that are not trimmed and are not responding substitutes respectively.


Last updated 19 February 2009 (RF)

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