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Each replicate sample had to be reweighted to compensate for the dropped unit(s) defining the replicate. This reweighting was done in two stages. At the first-stage, the ith school included in a particular replicate r was assigned a replicate-specific school base weight defined as:
where is the full-sample base weight for school i, and where
For students with a disability and limited-English-proficient students in American Samoa, Guam, Virgin Islands, and the Department of Domestic Dependent Elementary and Secondary Schools grade 8:
Using the replicate-specific school base weights, the school-level nonresponse weighting adjustments were recalculated for each replicate r. That is, the school-level nonresponse adjustment factor for schools in replicate r and adjustment class k was computed as:
where
Ck = the eligible sampled schools in adjustment class k,
= the replicate-r base weight of the ith school in class k, and
Eki = the grade enrollment for the ith school in class k.
In the above formulation, the indicator variable had a nonzero value only when the ith school in replicate r and adjustment class k participated in the assessment. The replicate-specific nonresponse-adjusted school weight for the ith school in replicate r in class k was then computed as: