African Journal of Applied Statistics

Developing an area-based sampling system in the urban district of Bobo Dioulasso, Burkina Faso

M Aymar Serge SOMDA, Do Edmond SANOU, Armel SOUBEIGA, and John Emmanuel Marie SAWADOGO

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Abstract

We proposed a simple and comprehensive approach to build a probabilistic sampling system in low income settings. We conducted this study in Bobo-Dioulasso, Burkina Faso. Our method consists in first selecting commonly known spots in the study area. Key information is collected in these spots and the population density around the spots is estimated. We then predicted the population density in all the study area by kriging, controlling for the variance. We can then compose, for any selected point in the study area a virtual cluster with an estimated population density. We then described a two-stage sampling design with equal probability for each stage. We described the unbiased Horvitz-Thompson estimators which will be obtained.

Résumé

Nous avons proposé une approche simple pour construire un système d’échantillonnage dans des situations à revenus limités. L’étude a été menée à Bobo-Dioulasso, Burkina Faso. La méthode a consisté à sélectionner des lieux-dits bien connus dans la zone d’étude. Des informations clés étaient collectées sur ces lieux et la densité de la population était estimée. Nous avons ensuite prédit la densité de la population sur tout le territoire par krigeage, en controlant la variance. Nous pouvons ensuite proposer, pour un point désigné dans la zone d’étude, un groupe virtuel avec une densité de population estimée. Nous avons ensuite décrit une méthode de sondage à deux degrés à probabilités égales et l’estimateur sans biais de Horvitz-Thompson associé.

Article information

Source
Afr. J. Appl. Stat., Volume 6, Number 1 (2019), 589-598.

Dates
First available in Project Euclid: 17 May 2019

Permanent link to this document
https://projecteuclid.org/euclid.ajas/1558059081

Digital Object Identifier
doi:10.16929/ajas/2019.589.232

Subjects
Primary: 62D05: Sampling theory, sample surveys 62H11: Directional data; spatial statistics 62P99: None of the above, but in this section

Keywords
sampling kriging low income countries Burkina Faso

Citation

SOMDA, M Aymar Serge; SANOU, Do Edmond; SOUBEIGA, Armel; SAWADOGO, John Emmanuel Marie. Developing an area-based sampling system in the urban district of Bobo Dioulasso, Burkina Faso. Afr. J. Appl. Stat. 6 (2019), no. 1, 589--598. doi:10.16929/ajas/2019.589.232. https://projecteuclid.org/euclid.ajas/1558059081


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