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NAEP Technical DocumentationSubstitute Schools for the 2011 Private School National Assessment

Substitutes were preselected for the private school samples by sorting the school frame file according to the actual order used in the sampling process (the implicit stratification). Each sampled school had its two nearest neighbors on the school frame file identified as potential substitutes. As the last sort ordering was by grade enrollment, the nearest neighbors had grade enrollment values very close to that of the sampled school. 

Schools were disqualified as potential substitutes if they were already selected in the private school sample or assigned as a substitute for another private school (earlier in the sort ordering).  Schools assigned as substitutes for eighth-grade schools were disqualified as potential substitutes for fourth-grade schools.

If both nearest neighbors were still eligible to be substitutes, the one with the closer grade enrollment was chosen. If both nearest neighbors had the same grade enrollment (an uncommon occurrence), one of the two was randomly selected.

In the process described above, only schools with the same affiliation were selected as substitutes.

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