A simulated dataset for 100 districts under a Lognormal-Lognormal model. Suitable for strictly positive, right-skewed outcomes.
Format
A data frame with 100 rows and 13 variables:
districtDistrict identifier (
"district_001".."district_100") – the 100 small areas to estimate.x1,x2,x3Auxiliary covariates.
u_trueTrue area-level random effect (log scale).
teta_trueTrue linear predictor (log scale).
mu_orig_trueTrue mean on the original scale.
nArea sample size.
y_obsObserved direct estimator.
lambda_dirDirect estimator scale parameter.
y_log_obsObserved value on the log scale.
psi_iSampling variance on the log scale.
regencyRegency identifier (
"regency_01".."regency_05") – coarse spatial-cluster level (5 regencies each containing 20 districts). Pair withadjacency_matrix_car_regency.