The R-package surveysd: Estimating standard errors for complex surveys with a rotating panel design

Article type: Research Article

Authors: Gussenbauer, Johannes^* | de Cillia, Gregor

Affiliations: Statistics Austria, Guglgasse 13, 1110 Vienna, Austria

Correspondence: [*] Corresponding author: Johannes Gussenbauer, Statistics Austria, Guglgasse 13, 1110 Vienna, Austria. Tel.: +43 1 711 28 7327; E-mail: [email protected].

Abstract: Surveys with a rotating panel design are a prominent tool for producing more efficient estimates for indicators regarding trends or net changes over time. Variance estimation for net changes becomes however more complicated due to a possibly high correlation between the panel waves. Therefore, these estimates are quite burdensome to produce with traditional means. With the R-package surveysd, we present a tool which supports a straightforward way for producing estimates and corresponding standard errors for complex surveys with a rotating panel design. The package uses bootstrap techniques which incorporate the panel design and thus makes it easy to estimate standard errors. In addition the package supports a method for producing more efficient estimates by cumulating multiple consecutive sample waves. This method can lead to a significant decrease in variance assuming that structural patterns for the indicator in question remain fairly robust over time. The usability of the package and variance improvement, using this bootstrap methodology, is demonstrated on data from the user database (UDB) for the EU Statistics on Income and Living Conditions of selected countries with various sampling designs.

Keywords: Complex surveys, variance estimation, bootstrapping, resampling, R-programming

DOI: 10.3233/SJI-200709

Journal: Statistical Journal of the IAOS, vol. 37, no. 1, pp. 115-121, 2021