BLE_SSRS {BayesSampling} R Documentation

## Stratified Simple Random Sample BLE

### Description

Creates the Bayes Linear Estimator for the Stratified Simple Random Sampling design (without replacement)

### Usage

```BLE_SSRS(ys, h, N, m = NULL, v = NULL, sigma = NULL)
```

### Arguments

 `ys` vector of sample observations or sample mean for each strata (`sigma` parameter will be required in this case). `h` vector with number of observations in each strata. `N` vector with the total size of each strata. `m` vector with the prior mean of each strata. If `NULL`, sample mean for each strata will be used (non-informative prior). `v` vector with the prior variance of an element from each strata (bigger than `sigma^2` for each strata). If `NULL`, it will tend to infinity (non-informative prior). `sigma` vector with the prior estimate of variability (standard deviation) within each strata of the population. If `NULL`, sample variance of each strata will be used.

### Value

A list containing the following components:

• `est.beta` - BLE of Beta (BLE for the individuals in each strata)

• `Vest.beta` - Variance associated with the above

• `est.mean` - BLE for each individual not in the sample

• `Vest.mean` - Covariance matrix associated with the above

• `est.tot` - BLE for the total

• `Vest.tot` - Variance associated with the above

### References

Gonçalves, K.C.M, Moura, F.A.S and Migon, H.S.(2014). Bayes Linear Estimation for Finite Population with emphasis on categorical data. Survey Methodology, 40, 15-28.

### Examples

```ys <- c(2,-1,1.5, 6,10, 8,8)
h <- c(3,2,2)
N <- c(5,5,3)
m <- c(0,9,8)
v <- c(3,8,1)
sigma <- c(1,2,0.5)

Estimator <- BLE_SSRS(ys, h, N, m, v, sigma)
Estimator

# Same example but informing sample means instead of sample observations
y1 <- mean(c(2,-1,1.5))
y2 <- mean(c(6,10))
y3 <- mean(c(8,8))
ys <- c(y1, y2, y3)
h <- c(3,2,2)
N <- c(5,5,3)
m <- c(0,9,8)
v <- c(3,8,1)
sigma <- c(1,2,0.5)

Estimator <- BLE_SSRS(ys, h, N, m, v, sigma)
Estimator

```

[Package BayesSampling version 1.1.0 Index]