Note on the One and Two-Sided Z Tests
Trrry R. McConnell
TL;DR
This paper discusses the comparative power of one-sided versus two-sided Z tests in elementary statistics, highlighting that the one-sided test is more powerful when both are of the same size.
Contribution
It provides an analysis showing the superiority of one-sided Z tests over two-sided tests in terms of power under equal significance levels.
Findings
One-sided Z test has greater power than two-sided test at the same significance level.
The advantage of the one-sided test is demonstrated mathematically.
Implications for choosing tests in statistical analysis are discussed.
Abstract
The one sided Z test of elementary statistics is more powerful than the two-sided test of the same size.
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Taxonomy
TopicsAdvanced Statistical Methods and Models · Statistical Methods in Clinical Trials