---
title: "saeHB-Twofold-Beta"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{saeHB-Twofold-Beta}
  %\VignetteEngine{knitr::rmarkdown}
  %\VignetteEncoding{UTF-8}
---

```{r, include = FALSE}
knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>"
)
```

## STEP 1: Load package and load the data

```{r setup}
library(saeHB.TF.beta)
data("dataBeta")
```

## STEPS 2: Fitting HB Model

```{r}
model <- betaTF(y~X1+X2,area="codearea",weight="w",iter.mcmc = 10000, burn.in = 3000, iter.update = 5, thin = 10, data=dataBeta)
```

## STEP 3 Extract mean estimation

### Subarea Estimation

```{r}
model$Est_sub
```

### Area Estimation

```{r}
model$Est_area
```

### Coefficient

```{r}
model$coefficient
```

### Random Effect

```{r}
model$area_randeff
model$sub_randeff
```

### Random Effect Variance

```{r}
model$refVar
```

## STEP 4 Check Convergence via Plot MCMC

Trace Plot, Density Plot, ACF Plot, R-Hat Plot

```{r}
model$plot
```

## STEP 5 : Extract CV and MSE

### Subarea

```{r}
CV_sub <- (model$Est_sub$SD)/(model$Est_sub$Mean)*100
MSE_sub <- model$Est_sub$SD^2
summary(cbind(CV_sub,MSE_sub))
```

### Area

```{r}
CV_area <- (model$Est_area$SD)/(model$Est_area$Mean)*100
MSE_area <- model$Est_area$SD^2
summary(cbind(CV_area,MSE_area))
```