The latest release of the Quarterly Business Indicator Survey (QBIS) results has been compiled using an improved estimation method, known as the composite regression estimator (CRE). This method, which was previously described in Methodological News issue aligns with the ABS’ broader priorities of reducing provider burden and making greater use of administrative data sources.
The composite regression estimation technique serves to reduce sampling error via two primary objectives, namely (1) use administrative tax data to reduce sampling error of level estimates; and (2) exploit the overlap in consecutive samples to reduce sampling error of movement estimates.
The Quarterly Business Indicator Survey (QBIS) aims to estimate private sector sales, wages, profits, and inventories. To achieve this, the ABS surveys a sample of businesses and assigns weights to each reported business’ response to reach estimates of the total population values. The key data items that QBIS publishes exhibit strong correlations with Business Activity Statement (BAS) Turnover and Wages data from the ATO, which we access for all businesses in scope of QBIS. By benchmarking the sampled data against the administrative records, we gain insights into the sample’s characteristics. An optimisation algorithm is used to derive weights such that the weighted sample estimates of the administrative data are consistent with the known population totals of the administrative data. This adjusts for any lack of representativeness in the sample and enables us to produce more precise level estimates.
The ABS manages the trade-off between provider burden and statistical precision through a rotating selection process. Each iteration the ABS includes new businesses in the sample while retaining some existing ones. The composite regression estimator leverages the connection between the previous and current sample to enhance stability and reduce variability in movement estimates.
By applying this estimation technique to the QBIS we can achieve level and movement estimates for the key data items that have lower sampling error.
Reducing provider burden:
When designing a survey there is a balance between data quality and sample size. Larger samples can yield higher quality results but come with higher costs and increase burden. Currently, the Business Indicator publication involves surveying around 16,250 businesses per quarter. By introducing this new estimator, we could have achieved estimates with lower sampling error using the same sample size. Alternatively, we chose to trade improvements to sample error with sample size, in line with the ABS’ strategic priorities to reduce provider burden. This is achieved via a sample redesign, which will be implemented next quarter.
As a result, in the March 2024 Business Indicator release, comparable quality estimates will be produced with a sample of 12,750 businesses. This is a reduction of around 3,500 businesses, which represents around 20% of the QBIS sample size.
Implementation of the composite regression estimator:
Additionally, we have taken the opportunity to make a related change to the imputation methodology for large businesses that do not respond to the survey. In QBIS we account for non-response by applying explicit imputes for each business that does not respond. In the past, for businesses with no historical reporting information available we have used mean imputation. In line with the implementation of the CRE, we have moved to using business’ BAS wages and turnover as auxiliary data to inform the imputes. This results in more accurate imputes for the large businesses, and hence contributes to improving the quality of the resulting estimates. The ABS will investigate the effectiveness of auxiliary imputation for smaller businesses and look to introduce this for future publications.
The calibration process produces a different set of survey weights to the previous estimation technique. Consequently, these techniques yield slightly different estimates based on the same reported data. Investigations have shown that there are no systematic differences in the estimates using the two methods, so revisions to historical publications are not necessary.
In summary, the composite regression estimator has allowed the ABS to use administrative tax data to continue to produce high quality quarterly Business Indicator estimates while alleviating the burden on businesses.
For further information, please contact Eleanor Day and Jack Steel.