## The Annals of Applied Statistics

- Ann. Appl. Stat.
- Volume 4, Number 2 (2010), 1105-1138.

### Intervention analysis with state-space models to estimate discontinuities due to a survey redesign

Jan van den Brakel and Joeri Roels

#### Abstract

An important quality aspect of official statistics produced by national statistical institutes is comparability over time. To maintain uninterrupted time series, surveys conducted by national statistical institutes are often kept unchanged as long as possible. To improve the quality or efficiency of a survey process, however, it remains inevitable to adjust methods or redesign this process from time to time. Adjustments in the survey process generally affect survey characteristics such as response bias and therefore have a systematic effect on the parameter estimates of a sample survey. Therefore, it is important that the effects of a survey redesign on the estimated series are explained and quantified. In this paper a structural time series model is applied to estimate discontinuities in series of the Dutch survey on social participation and environmental consciousness due to a redesign of the underlying survey process.

#### Article information

**Source**

Ann. Appl. Stat., Volume 4, Number 2 (2010), 1105-1138.

**Dates**

First available in Project Euclid: 3 August 2010

**Permanent link to this document**

https://projecteuclid.org/euclid.aoas/1280842154

**Digital Object Identifier**

doi:10.1214/09-AOAS305

**Mathematical Reviews number (MathSciNet)**

MR2758435

**Zentralblatt MATH identifier**

1194.62013

**Keywords**

Intervention analysis response bias structural time series models survey sampling

#### Citation

van den Brakel, Jan; Roels, Joeri. Intervention analysis with state-space models to estimate discontinuities due to a survey redesign. Ann. Appl. Stat. 4 (2010), no. 2, 1105--1138. doi:10.1214/09-AOAS305. https://projecteuclid.org/euclid.aoas/1280842154

#### Supplemental materials

- Supplementary material: Software and article supplement to: Intervention analysis with state-space models to estimate discontinuities due to a survey redesign. The supplementary article contains additional information about discontinuities in the target variables about social participation and environmental consciousness that occurred due to the changeover from the PSLC to the SSPEC. It contains a description of the target variables about social participation and environmental consciousness as well as an overview of the observed differences that occurred during the year of the changeover from the PSLC in 2004 to the SSPEC in 2005. Finally, the analysis results using the time series model selected in Section 5.3 are presented for these variables. As an example, the estimated series and the corrected series for three variables are provided. This supplement also contains the Ox-program, used to conduct the intervention analysis with the state-space models developed in this paper. Input files (time series of “contact frequency with neighbors” and “separating chemical waste” and a series with the sample sizes of the surveys for the different time points) are also provided to illustrate the use of the program.Digital Object Identifier: doi:10.1214/09-AOAS305SUPP