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Improved Estimation of Poisson Rate Distributions through a Multi-Mode 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 tradeoff between bias and variance of estimators. I use a case study comparing inferences about payment instrument use based on different survey designs to illustrate this dilemma. I 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, this 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, 2021. "Improved Estimation of Poisson Rate Distributions through a Multi-Mode Survey Design," FRB Atlanta Working Paper 2021-10, Federal Reserve Bank of Atlanta.
    • Handle: RePEc:fip:fedawp:90080
    DOI: 10.29338/wp2021-10
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    References listed on IDEAS

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    More about this item

    Keywords

    recall surveys; diaries; bias; mean-squared error; multi-level models;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access
    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods

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