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Activity Number: 29
Type: Contributed
Date/Time: Sunday, August 3, 2014 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract #312360 View Presentation
Title: Joint Confidence Intervals for the Selected Population Means
Author(s): Claudio Fuentes*+
Companies:
Keywords: Confidence Intervals ; Selected Means ; Asymmetric Intervals ; Joint Estimation ; Post-Selection Inference
Abstract:

Consider an experiment in which p independent treatments or populations pi_i, with corresponding unknown means theta_i are available and suppose that for every population we can obtain a random sample. In this context, researchers are sometimes interested in selecting the k populations that give the largest sample means as a result of the experiment, and to estimate the corresponding population means theta_i's. In this talk, we consider this the post-selection inference problem and discuss a frequentist approach to obtain simultaneous asymmetric confidence intervals for the means of the populations that have been selected, assuming the populations pi_i are normally distributed with a common variance sigma^2.


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