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NAEP Weighting Procedures → 2002 Weighting Procedures and Variance Estimation → National Main Assessment Weights → Calculation of Replicate Weights → Computing Student-Level Replicate Nonresponse Adjustments

NAEP Technical DocumentationComputing Student-Level Replicate Nonresponse Adjustments

The replicate student nonresponse adjustments were computed as follows for each nonresponse weighting cell d were as follows (for each replicate r):

where

• the index sk represents school s, student k;

• S_d represents the sample of eligible students in student nonresponse cell d;

•  R_d represents the sample of assessed students in nonresponse cell d (see Computation of Student Nonresponse Adjustment Factors); and

• STUWGT_sk(r) is the replicate student base weight (see Computing Student-Level Replicate Weights).

Estimates and standard errors were calculated using these weights and replicate weights for the responding students, and were compared to the corresponding totals for the full student sample. These are found in Weighted Enrollment Checks for the 2002 Main Study Responding Student Samples. As can be seen in the nonresponse bias analysis, the student nonresponse adjustments have the effect of allowing the responding students to represent the full set of students. The replicate adjustments are designed to produce variance estimates that reflect the component of variability added by the nonresponse adjustment process.

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