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NAEP Technical DocumentationComputation of Full-Sample Weights for the 2012 Economics Assessment

			Computation of Base Weights School and Student Nonresponse Weight Adjustments School and Student Weight Trimming Adjustments

The full-sample or final student weight is the sampling weight used to derive NAEP student estimates of population and subpopulation characteristics for the grade 12 economics assessment. The full-sample student weight reflects the number of students that the sampled student represents in the population for purposes of estimation. The summation of the final student weights over a particular student group provides an estimate of the total number of students in that group within the population.

The full-sample weight, which is used to produce survey estimates, is distinct from a replicate weight that is used to estimate variances of survey estimates. The full-sample weight is assigned to participating students and reflects the student base weight after the application of the various weighting adjustments. The full-sample weight for student k from school s in stratum j (FSTUWGT_jsk) can be expressed as follows:

where

• STU_BWT_jsk is the student base weight;
• SCH_NRAF_js is the school-level nonresponse adjustment factor; 
• STU_NRAF_jsk is the student-level nonresponse adjustment factor;
• SCH_TRIM_js is the school-level weight trimming adjustment factor; and
• STU_TRIM_jsk is the student-level weight trimming adjustment factor.

School sampling strata for a given assessment varied by school type. See public school strata and private school strata for descriptions of the public and private school stratum definitions.

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