<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

Publié en ligne: 01 mars 2018

Pages: 121 - 148

Reçu: 01 mai 2016

Accepté: 01 nov. 2017

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

Mots clés
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

Publié en ligne: 01 mars 2018

Pages: 121 - 148

Reçu: 01 mai 2016

Accepté: 01 nov. 2017

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

Mots clésArea 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.

Mots clés
Area survey, optimal allocation, optimal stratification, multivariate design, simulated annealing