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Improved Estimation of Poisson Rate Distributions Through a Multimode Survey Design

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  • Marcin Hitczenko

Abstract

Researchers interested in studying the frequency of events or behaviors among a population must rely on count data provided by sampled individuals. Often, this involves a decision between live event counting, such as a behavioral diary, and recalled aggregate counts. Diaries are generally more accurate, but their greater cost and respondent burden generally yield less data. The choice of survey mode, therefore, involves a potential trade-off between bias and variance of estimators. We use a case study comparing inferences about payment instrument use based on different survey designs to illustrate this dilemma. We then use a simulation study to show how and under what conditions a hybrid survey design can improve efficiency of estimation, in terms of mean-squared error. Overall, our work suggests that such a hybrid design can have considerable benefits, as long as there is nontrivial overlap in the diary and recall samples.

Suggested Citation

  • Marcin Hitczenko, 2022. "Improved Estimation of Poisson Rate Distributions Through a Multimode Survey Design," Sociological Methods & Research, , vol. 51(2), pages 699-727, May.
    • Handle: RePEc:sae:somere:v:51:y:2022:i:2:p:699-727
    DOI: 10.1177/0049124119882465
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    References listed on IDEAS

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