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The control totals used in the raking procedure for NAEP 2017 at grades 4 and 8 were estimates of the student population derived from the set of assessed and excluded students pooled across subjects (mathematics and reading) and assessment modes (PBA and DBA). The control totals for category c within dimension d were computed as follows:
where
Rc(d) is the set of all assessed students in category c of dimension d,
Ec(d) is the set of all excluded students in category c of dimension d,
STU_BWTk is the student base weight for a given student k,
SCH_TRIMk is the school-level weight trimming factor for the school associated with student k,
SCH_NRAFk is the school-level nonresponse adjustment factor for the school associated with student k,
STU_NRAFk is the student-level nonresponse adjustment factor for student k, and
SUBJFACk is the subject factor for student
k.
The student weight used in the calculation of the control totals above is the adjusted student base weight, without regard to subject, adjusted for school weight trimming, school nonresponse, and student nonresponse. Control totals were computed for the full sample and for each replicate independently.