Estimation of mask effectiveness perception for small domains using multiple data sources

Aditi Sen; Partha Lahiri

doi:10.21307/stattrans-2022-001

Estimation of mask effectiveness perception for small domains using multiple data sources

Aditi Sen PhD Student, Applied Mathematics & Statistics, and Scientific Computation , Partha Lahiri Director and Professor, The Joint Program in Survey Methodology & Professor, Department of Mathematics, University of Maryland, College Park, MD 20742, USA Statistics in Transition new series, vol. 23, 2022, 1, pages: 1–20 Published online: 15 March 2022 DOI 10.21307/stattrans-2022-001 Citation: Sen A., Lahiri P., (2022). Estimation of mask effectiveness perception for small domains using multiple data sources, Statistics in Transition new series, 23(1), pp. 1–20. https://doi.org/10.21307/stattrans-2022-001

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ABSTRACT

Understanding the impacts of pandemics on public health and related societal issues at granular levels is of great interest. COVID-19 is affecting everyone in the globe and mask wearing is one of the few precautions against it. To quantify people’s perception of mask effectiveness and to prevent the spread of COVID-19 for small areas, we use Understanding America Study’s (UAS) survey data on COVID-19 as our primary data source. Our data analysis shows that direct survey-weighted estimates for small areas could be highly unreliable. In this paper, we develop a synthetic estimation method to estimate proportions of perceived mask effectiveness for small areas using a logistic model that combines information from multiple data sources. We select our working model using an extensive data analysis facilitated by a new variable selection criterion for survey data and benchmarking ratios. We suggest a jackknife method to estimate the variance of our estimator. From our data analysis, it is evident that our proposed synthetic method outperforms the direct survey-weighted estimator with respect to commonly used evaluation measures.

KEYWORDS

cross-validation, jackknife, survey data, synthetic estimation

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