dataPanelbeta {saeHB.panel.beta} | R Documentation |
Sample Data under Beta Distribution for Small Area Estimation using Hierarchical Bayesian Method for Rao Yu Model when rho = 0
Description
Dataset under Beta Distribution to simulate Small Area Estimation using Hierarchical Bayesian Method for Rao-Yu Model with rho = 0 This data is generated by these following steps:
Generate random effect area
v
, random effect for area i at time point ju
, epsilon, variance of ydi
vardir
, sampling errore
, auxiliaryxdi1
andxdi2
Set coefficient
Generate random effect area
v_{i}~N(0,1)
Generate auxiliary variable
xdi1_{ij}~U(0,1)
Generate auxiliary variable
xdi2_{ij}~U(0,1)
Generate epsilon
~N(0,1)
Generate
~Gamma(1,0.5)
Calculate
Calculate
Calculate
Generate ydi
y_{ij}~Beta(A_{ij},B_{ij})
Calculate variance of ydi with
Set
area=20
andperiod=5
Auxiliary variables
xdi1,xdi2
, direct estimationy
,area
,period
, andvardir
are combined in a dataframe calleddataPanel
Usage
dataPanelbeta
Format
A data frame with 100 rows and 6 variables:
- ydi
Direct Estimation of y
- area
Area (domain) of the data
- period
Period (subdomain) of the data
- vardir
Sampling Variance of y
- xdi1
Auxiliary variable of xdi1
- xdi2
Auxiliary variable of xdi2