data_betalogitnorm {hbsaems} | R Documentation |
Simulation Data for Beta Logit Normal Model
Description
The data_betalogitnorm
is a simulation data created specifically to demonstrate the implementation of
Hierarchical Bayesian Small Area Estimation (HB SAE) with Beta distribution.
This data is suitable for testing Beta regression models with a hierarchical structure
between areas. This data is also equipped with variables that apply spatial effects.
Usage
data_betalogitnorm
Format
A data frame with 100 rows and 9 variables:
- y
Response variable - The proportion of simulation results, has a value between 0 and 1, follows a Beta distribution.
- theta
True latent mean parameter on the logit scale, representing the underlying probability of success in each area.
- x1, x2, x3
Predictors Variables
- n
The number of sample units for each region used in the survey
- deff
Design Effect
- group
Area ID (1–100) Random effects formula specifying the grouping structure in the data.
- sre
An optional grouping factor mapping observations to spatial locations.
Source
Simulated data based on a Beta-Logit-Normal model.
Examples
data(data_betalogitnorm)
head(data_betalogitnorm)