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The replicate school base weights w_{js}(r), r = 1, ., R, were computed as follows:
where
w_{js} is the school base weight for school s in jurisdiction j;
R_{jr} is the set of schools within the r-th replicate stratum for jurisdiction j; and
U_{js} is the variance unit (1 or 2) for school s in jurisdiction j.
Each triplet replicate stratum R_{jr} also has a paired replicate stratum r_{2}. The replicate weights assigned to schools in R_{jr} are as follows:
For example, consider a state with 111 noncertainty schools in which the first 54 final replicate strata contain two schools each (doublets) and replicate stratum 55 contains three schools (triplet). Replicate stratum 55 is paired with replicate stratum 23 (i.e., r_{2} = 23).
In the first replicate stratum, for the first school
In the first replicate stratum, for the second school
In the 55th replicate stratum, for the first school
In the 55th replicate stratum, for the second school
In the 55th replicate stratum, for the third school
In primary strata with fewer than 62 replicate strata, the replicate weights for the “unused” replicate strata (the remaining ones up to 62) for these schools were set equal to the school base weight (so that those replicates contribute zero to any replicate sum of squares).
Trimmed replicate school base weights were computed by multiplying each replicate school base weight w_{js}(r) by the trimming (of school base weights) factor TRIM_{js}.
Separate school nonresponse adjustment factors SNRADJ_{js}(r) were calculated for each set of replicates. Nonresponse-adjusted replicate school base weights were computed by multiplying each trimmed replicate school base weight by the school nonresponse adjustment for that replicate. Thus, the school nonresponse factors are replicated, and the resulting school nonresponse adjusted replicate weights include a component of variance due to the school nonresponse factors.