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NAEP Technical DocumentationComputation of School Nonresponse Adjustments

         

Development of School Nonresponse Cells

From our school response experience in the 2002 state assessment, response rates varied widely across jurisdictions. Adjustment for school nonresponse was accomplished through a weighting cell adjustment.

The following nesting cell structure was used to define nonresponse weighting cells for each participating jurisdiction:

When nonresponse cells based on this nesting structure were too small to allow for stable nonresponse adjustment, cells were collapsed. The final school nonresponse weighting cells within each jurisdiction j are designated as SNRADJc, c = 1,...,C, where C is the total number of weighting cells designated for the jurisdiction. The school nonresponse adjustments were computed as follows for each nonresponse weighting cell:

SNRADJ subcript c equals Summation underscript s element S subscript c pie subscript s superscript minus 1 atsrisk TRIM subscript s atsterisk X subscript s SUBADJ subscript s OVER Summation s element R subscript c pie subscript s superscript minus 1 asterisk TRIM subscript s asterisk X subscripts s asterisk SUBADJ subscript s

where

  • Sc is the set of all eligible original schools in cell c;

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

  •  Pie subscript s superscript minus 1  is the inverse of the school probability of selection;

  • TRIMs is a trimming factor for new schools;

  • xs is the school's estimated enrollment; and

  • SUBADJs is a factor for differing enrollment between substitute schools and the originally sampled schools (see School Base Weights for Substitute Schools).1

1 Note that TRIMs and SUBADJs are 1 for schools which are not trimmed and are not responding substitutes, respectively.


Last updated 06 March 2009 (RF)

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