<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A computational approach to optimal multivariate designs with respect to stratification and allocation is investigated under the assumptions of fixed total allocation, known number of strata, and the availability of administrative data correlated with thevariables of interest under coefficient-of-variation constraints. This approach uses a penalized objective function that is optimized by simulated annealing through exchanging sampling units and sample allocations among strata. Computational speed is improved through the use of a computationally efficient machine learning method such as K-means to create an initial stratification close to the optimal stratification. The numeric stability of the algorithm has been investigated and parallel processing has been employed where appropriate. Results are presented for both simulated data and USDA’s June Agricultural Survey. An R package has also been made available for evaluation.</p></abstract>

A computational approach to optimal multivariate designs with respect to stratification and allocation is investigated under the assumptions of fixed total allocation, known number of strata, and the availability of administrative data correlated with thevariables of interest under coefficient-of-variation constraints. This approach uses a penalized objective function that is optimized by simulated annealing through exchanging sampling units and sample allocations among strata. Computational speed is improved through the use of a computationally efficient machine learning method such as K-means to create an initial stratification close to the optimal stratification. The numeric stability of the algorithm has been investigated and parallel processing has been employed where appropriate. Results are presented for both simulated data and USDA’s June Agricultural Survey. An R package has also been made available for evaluation.

Optimal Stratification and Allocation for the June Agricultural Survey

Journal of Official Statistics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Optimal Stratification and Allocation for the June Agricultural Survey"}

A computational approach to optimal multivariate designs with respect to stratification and allocation is investigated under the assumptions of fixed total...

Optimal Stratification and Allocation for the June Agricultural Survey

Published Online: Mar 01, 2018

Page range: 121 - 148

Received: May 01, 2016

Accepted: Nov 01, 2017

DOI: https://doi.org/10.1515/jos-2018-0007

Keywords
Area survey, optimal allocation, optimal stratification, multivariate design, simulated annealing

© by Jonathan Lisic

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Optimal Stratification and Allocation for the June Agricultural Survey

Published Online: Mar 01, 2018

Page range: 121 - 148

Received: May 01, 2016

Accepted: Nov 01, 2017

DOI: https://doi.org/10.1515/jos-2018-0007

KeywordsArea survey, optimal allocation, optimal stratification, multivariate design, simulated annealing

© by Jonathan Lisic

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Area survey, optimal allocation, optimal stratification, multivariate design, simulated annealing