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Explorations in statistics: confidence intervals

Division of Biostatistics and Bioinformatics, National Jewish Health, and Department of Biostatistics and Informatics and Department of Physiology and Biophysics, School of Medicine, University of Colorado Denver, Denver, Colorado

Address for reprint requests and other correspondence: D. Curran-Everett, Div. of Biostatistics and Bioinformatics, M222, National Jewish Health, 1400 Jackson St., Denver, CO 80206 (e-mail: EverettD{at}NJHealth.org)

Abstract

Learning about statistics is a lot like learning about science: the learning is more meaningful if you can actively explore. This third installment of Explorations in Statistics investigates confidence intervals. A confidence interval is a range that we expect, with some level of confidence, to include the true value of a population parameter such as the mean. A confidence interval provides the same statistical information as the P value from a hypothesis test, but it circumvents the drawbacks of that hypothesis test. Even more important, a confidence interval focuses our attention on the scientific importance of some experimental result.

Key words: estimation; R; software