<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Sample coordination seeks to maximize or to minimize the overlap of two or more samples. The former is known as positive coordination, and the latter as negative coordination. Positive coordination is mainly used for estimation purposes and to reduce data collection costs. Negative coordination is mainly performed to diminish the response burden of the sampled units. Poisson sampling design with permanent random numbers provides an optimum coordination degree of two or more samples. The size of a Poisson sample is, however, random. Conditional Poisson (CP) sampling is a modification of the classical Poisson sampling that produces a fixed-size <italic>πps</italic> sample. We introduce two methods to coordinate Conditional Poisson samples over time or simultaneously. The first one uses permanent random numbers and the list-sequential implementation of CP sampling. The second method uses a CP sample in the first selection and provides an approximate one in the second selection because the prescribed inclusion probabilities are not respected exactly. The methods are evaluated using the size of the expected sample overlap, and are compared with their competitors using Monte Carlo simulation. The new methods provide a good coordination degree of two samples, close to the performance of Poisson sampling with permanent random numbers.</p></abstract>

Sample coordination seeks to maximize or to minimize the overlap of two or more samples. The former is known as positive coordination, and the latter as negative coordination. Positive coordination is mainly used for estimation purposes and to reduce data collection costs. Negative coordination is mainly performed to diminish the response burden of the sampled units. Poisson sampling design with permanent random numbers provides an optimum coordination degree of two or more samples. The size of a Poisson sample is, however, random. Conditional Poisson (CP) sampling is a modification of the classical Poisson sampling that produces a fixed-size πps sample. We introduce two methods to coordinate Conditional Poisson samples over time or simultaneously. The first one uses permanent random numbers and the list-sequential implementation of CP sampling. The second method uses a CP sample in the first selection and provides an approximate one in the second selection because the prescribed inclusion probabilities are not respected exactly. The methods are evaluated using the size of the expected sample overlap, and are compared with their competitors using Monte Carlo simulation. The new methods provide a good coordination degree of two samples, close to the performance of Poisson sampling with permanent random numbers.

Coordination of Conditional Poisson Samples

Department of Forest Resource Management, Swedish University of Agricultural Sciences, SE-90183, Umeå, Sweden.

Institute of Statistics, University of Neuchâtel, Rue Bellevaux 51, 2000, Neuchâtel and Institute of Pedagogical Research and Documentation (IRDP) Neuchâtel, Switzerland.

Journal of Official Statistics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Coordination of Conditional Poisson Samples"}

Sample coordination seeks to maximize or to minimize the overlap of two or more samples. The former is known as positive coordination, and the latter as...

Coordination of Conditional Poisson Samples

Published Online: Dec 16, 2015

Page range: 649 - 672

Received: Jun 01, 2013

Accepted: Jan 01, 2015

DOI: https://doi.org/10.1515/jos-2015-0039

Keywords
Sample coordination, expected overlap, permanent random numbers, unequal probability sampling designs

© 2015 Anton Grafström et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Coordination of Conditional Poisson Samples

Published Online: Dec 16, 2015

Page range: 649 - 672

Received: Jun 01, 2013

Accepted: Jan 01, 2015

DOI: https://doi.org/10.1515/jos-2015-0039

KeywordsSample coordination, expected overlap, permanent random numbers, unequal probability sampling designs

© 2015 Anton Grafström et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Sample coordination, expected overlap, permanent random numbers, unequal probability sampling designs