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A Note on Confidence Interval for the Power of the One Sample t Test
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In introductory statistics texts, the power of the test of a one-sample mean when the variance is known is widely discussed.
However, when the variance is unknown, the power of the Student's t-test is seldom mentioned.
In this note, a general methodology for obtaining inference concerning a scalar parameter of interest of any exponential family model is proposed.
The method is then applied to the one-sample mean problem with unknown variance to obtain a (1−γ)100% confidence interval for the power of the Student's t-test that detects the difference (μ−μ0).
The calculations require only the density and the cumulative distribution functions of the standard normal distribution.
In addition, the methodology presented can also be applied to determine the required sample size when the effect size and the power of a size α test of mean are given.
American Psychological Association (APA)
Wong, Augustine C. M.. 2010. A Note on Confidence Interval for the Power of the One Sample t Test. Journal of Probability and Statistics،Vol. 2010, no. 2010, pp.1-9.
https://search.emarefa.net/detail/BIM-448900
Modern Language Association (MLA)
Wong, Augustine C. M.. A Note on Confidence Interval for the Power of the One Sample t Test. Journal of Probability and Statistics No. 2010 (2010), pp.1-9.
https://search.emarefa.net/detail/BIM-448900
American Medical Association (AMA)
Wong, Augustine C. M.. A Note on Confidence Interval for the Power of the One Sample t Test. Journal of Probability and Statistics. 2010. Vol. 2010, no. 2010, pp.1-9.
https://search.emarefa.net/detail/BIM-448900
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448900