dataTMEHB {saeHB.ME}

Sample Data for Small Area Estimation with Measurement Error using Hierarchical Bayesian Method under Student-t Distribution

Description

This data generated by simulation based on Hierarchical Bayesian Method under Student-t Distribution with Measurement Error by following these steps:

1. Generate x_{1} ~ UNIF(10, 20) and x_{2} ~ UNIF(30,50)

2. Generate v.x_{1} ~ 1/(Gamma(1,1))

3. Generate x_{1h} ~ N(x_{1}

4. Generate \beta_{0} = \beta_{1} = \beta_{2} = 0.5

5. Generate u ~ N(0,1) and k ~ Gamma(10,1)

6. Calculate \mu = \beta_{0} + \beta_{1}*x_{1h} + \beta_{2}*x_{2h} + u

7. Generate Y ~ t(k, \mu)) and v = \sigma_{y}^{2}

Direct estimation Y, auxiliary variables x1 x2 x3 x4, sampling variance v, and mean squared error of auxiliary variables v.x1 v.x2 are arranged in a dataframe called dataTMEHB.

Usage

data(dataTMEHB)

Format

A data frame with 30 observations on the following 8 variables.

Y

direct estimation of Y.

x1

auxiliary variable of x1.

x2

auxiliary variable of x2.

vardir

sampling variances of Y.

v.x1

mean squared error of x1.