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Small Area Estimation Methodology (SAE) applied on Bogota Multipurpose Survey (EMB)

Author

Listed:
  • Jose F. Zea

    (Santo Tomas University, Bogota, Colombia)

  • Felipe Ortiz

    (Santo Tomas University, Bogota, Colombia)

Abstract

Small Area Estimation Methodology (SAE) is a widely used by statistical offices in several countries to reduce sampling errors with the help of auxiliary information. Different countries such as USA, Canada, England, Israel and European Community have within their statistical institutes offices dedicated to the application of SAE in several investigations. So far, the National Administrative Department of Statistics of Colombia (DANE), has not published official statistics that involve this methodology. The present work illustrates the advantages in the use and estimation of living conditions using SAE. Formally, the unemployment rate and the average income levels of municipalities of Cundinamarca are estimated. For this purpose, information of the Multipurpose Survey 2014 is used and is complemented with socio-demographic and economic related auxiliary information. A mixed Fay & Herriot (1979) model it is used in order to get the estimates. We use R ecosystem to develop SAE methodology. R is used for data wrangling, model adjustment, parameter estimation and finally visualization with the aid of renowned packages such as tidyr, forcats, sae, ggplot2 among others. We will show R implementation and some remarkable results. First, a good adjustment of the model to the data; second, a reduction in the sampling errors reported by the estimation in small areas compared to the direct estimates generated by the Bogota Multipurpose Survey (EMB); and finally acceptable estimates for municipalities that were not covered by the survey.

Suggested Citation

  • Jose F. Zea & Felipe Ortiz, 2018. "Small Area Estimation Methodology (SAE) applied on Bogota Multipurpose Survey (EMB)," Romanian Statistical Review, Romanian Statistical Review, vol. 66(1), pages 45-60, March.
    • Handle: RePEc:rsr:journl:v:66:y:2018:i:1:p:45-60
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    More about this item

    Keywords

    Small Area Estimation; Survey Sampling; Tidyvese; Household Survey; Colombia; Cundinamarca Municipalities.;
    All these keywords.

    JEL classification:

    • O54 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies - - - Latin America; Caribbean
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access
    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software

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