Simulated Binomial Logit-Normal Data — data

A simulated dataset for 100 districts under a Binomial logit-normal model. Each district provides a number of successes (y) out of n trials.

Usage

data_binlogitnorm

A data frame with 100 rows and 14 variables:

n: Number of trials in the district.
y: Number of successes.
p: Direct proportion (y / n).
x1, x2, x3: Auxiliary covariates.
u_true: True area-level random effect (logit scale).
eta_true: True linear predictor (logit scale).
p_true: True success probability.
psi_i: Sampling variance.
y_obs, p_obs: Observed (direct) values.
district: District identifier ("district_001" .. "district_100") – the 100 small areas to estimate.
regency: Regency identifier ("regency_01" .. "regency_05") – coarse spatial-cluster level (5 regencies each containing 20 districts). Pair with adjacency_matrix_car_regency.

Simulated.