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Activity Number: 35 - Applications of Nonparametric Methods
Type: Contributed
Date/Time: Sunday, July 28, 2019 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract #304393
Title: Meta-Anlysis of Quantile Intervals from Different Studies
Author(s): Omer Ozturk* and Narayanaswamy Balakrishnan
Companies: Ohio State University and McMaster University
Keywords: Meta-analysis; Confidence distribution; Order statistics; Quantile confidence interval; Median; Random-effect meta-analysis model

In many studies, experimental results are reported in terms of distribution-free confidence intervals that may involve pairs of order statistics. This paper considers a meta-analysis procedure to combine these confidence intervals from independent studies to estimate or construct confidence interval for the true quantile of the population distribution. Data synthesis is made under both fixed-effect or random-effect meta-analysis models. We show that mean square error of the combined quantile estimator is considerably smaller than the mean square error of the best individual quantile estimator. We also show that the coverage probability of the meta-analysis confidence interval is quite close to the nominal coverage probability. If the between-study variation is substantial, the random-effect meta-analysis model yields better coverage probability than the individual confidence interval for the quantile.

Authors who are presenting talks have a * after their name.

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