lcubeflightphase {BalancedSampling} R Documentation

## Flight phase for the local cube method

### Description

Flight phase for the local cube method. To have a fixed sample size, include the inclusion probabilities as a balancing variable in `Xbal` and make sure the inclusion probabilities sum to a positive integer. This is a simplified (optimized for speed) implementation of the flight phase of the local cube method (doubly balanced sampling). Euclidean distance is used in the `Xspread` space.

### Usage

```lcubeflightphase(prob,Xspread,Xbal)
```

### Arguments

 `prob` vector of length N with inclusion probabilities `Xspread` matrix of (standardized) auxiliary variables of N rows and q columns `Xbal` matrix of balancing auxiliary variables of N rows and r columns

### Value

Returns a vector of length N with new probabilities, where at most r are non-integer.

### References

Grafström, A. and Tillé, Y. (2013). Doubly balanced spatial sampling with spreading and restitution of auxiliary totals. Environmetrics, 24(2), 120-131.

### Examples

```## Not run:
# Example 1
# Select sample
set.seed(12345);
N = 100; # population size
n = 10; # sample size
p = rep(n/N,N); # inclusion probabilities
X = cbind(runif(N),runif(N)); # matrix of auxiliary variables
pflight = lcubeflightphase(p,X,cbind(p,X));
# check balance
colSums(X)
colSums(X/p*pflight)

## End(Not run)
```

[Package BalancedSampling version 1.5.5 Index]