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Use of Previously Published Data in Statistical Estimation

Sergey Tarima (), Kadam Patel, Rodney Sparapani, Mallory O’Brien, Laura Cassidy and John Meurer
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Sergey Tarima: Medical College of Wisconsin, Institute for Health and Equity
Kadam Patel: Medical College of Wisconsin, Institute for Health and Equity
Rodney Sparapani: Medical College of Wisconsin, Institute for Health and Equity
Mallory O’Brien: Medical College of Wisconsin, Institute for Health and Equity
Laura Cassidy: Medical College of Wisconsin, Institute for Health and Equity
John Meurer: Medical College of Wisconsin, Institute for Health and Equity

A chapter in Mindful Topics on Risk Analysis and Design of Experiments, 2022, pp 78-88 from Springer

Abstract: Abstract Traditionally, researchers collect and analyze their own data, or use published results to perform meta-analysis. However, they rarely combine the experimental data with already published findings, which is a more efficient and cost effective approach for experimental planning and data analysis. In this work, we present two methods on the use of previously published data. One method targets variance minimization and another minimizes mean squared error (MSE). Bayesian approaches to prior information are not considered in this work. Variance minimization is designed to work in a class of unbiased estimators, where both (1) the estimators based on experimental data and (2) the estimators available as additional information (previously published results) are unbiased. MSE minimization relaxes the unbiasedness assumption on additional information and assumes that bias may be present. The use of these methods is illustrated for the analysis of association between gestational age at birth and third grade academic performance.

Keywords: additional information; variance minimization; association between gestational age and academic performance; mean squared error; asymptotic bias (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-06685-6_6

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DOI: 10.1007/978-3-031-06685-6_6

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