interSAE: Intersectional Small Area Estimation from Survey and Census Data
Implements design-aware, margin-constrained estimation of
population indicators for geographic areas crossed with demographic
subgroups. Complex-survey microdata supply outcomes and association
information, while one or more aggregate census tables supply overlapping
population margins. A generalized iterative proportional fitting engine
reconstructs a coherent latent population table, and an augmented
model-assisted estimator produces domain means, proportions, and totals
for sampled and unsampled intersections. Tools
diagnose non-identification, compute linear-programming sensitivity bounds,
propagate sampling and model uncertainty with replicate-weight or
multiplier bootstrap procedures, enforce structural zeros, and benchmark
estimates to official totals. The framework extends calibration ideas from
Deville and Sarndal (1992) <doi:10.1080/01621459.1992.10475217> and small
area estimation ideas from Fay and Herriot (1979)
<doi:10.1080/01621459.1979.10482505>.
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