Description Usage Arguments Value Author(s) References See Also Examples

Select spatio-temporal samples with random size and well spread out in space at each wave. The pivotal method is used to obtain spread samples. It provides optimal time rotation of the selected sample using the systematic sampling method.

1 |

`pik` |
a matrix of temporal inclusion probabilities.
Columns of |

`coord` |
a matrix that contains spatial coordinates in columns. The number of columns can be more than two. Matrix rows correspond to the units. |

`EPS` |
a tolerance parameter. Default value is 1e-6. |

`comment` |
a comment is written during the execution if |

a matrix that contains spatio-temporal samples.
This is the update of `pik`

and contains only 0s and 1s that indicates if a unit is selected or not at each wave.

Esther Eustache esther.eustache@unine.ch

Quenouille, M. H. (1949). Approximate Tests of Correlation in time-Series. Royal Statistical Society, Series B Vol. 11, No. 1 (1949), pp. 68-84.

Grafstrom, A., Lundstrom, N. L. P., and Schelin, L. (2012). Spatially balanced sampling through the pivotal method. Biometrics, 68(2):514-520.

1 2 3 4 5 6 7 8 9 | ```
## Coordinates in two dimensions of 4 units ##
coord <- matrix(c(0.5,0.6,0.2,0.3,0.8,0.9,0.4,0.7), ncol=2)
## Temporal inclusion probabilities with 3 waves and 4 units ##
pik <- matrix(c(0.6,0.3,0.3,
0.2,0.4,0.9,
0.3,0.2,0.5,
0.9,0.1,0.3), ncol = 3, byrow = TRUE)
## ORSP method ##
Orsp(pik, coord, EPS = 1e-6)
``` |

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