Updating the debate on one- versus two-tailed tests with the directional two-tailed test

Authors
Citation
L. Leventhal, Updating the debate on one- versus two-tailed tests with the directional two-tailed test, PSYCHOL REP, 84(3), 1999, pp. 707-718
Citations number
38
Categorie Soggetti
Psycology
Journal title
PSYCHOLOGICAL REPORTS
ISSN journal
00332941 → ACNP
Volume
84
Issue
3
Year of publication
1999
Part
1
Pages
707 - 718
Database
ISI
SICI code
0033-2941(199906)84:3<707:UTDOOV>2.0.ZU;2-N
Abstract
For half a century, methodologists have debated wen to use one-and two-tail ed tests. But they conducted the debate with scarcely a mention of the litt le known directional two-tailed test-the only hypothesis test that, properl y used, provides for a decision in either direction. In contrast, the tradi tional two-tailed test assesses nondirectional statistical hypotheses and d oes not provide for a directional decision. A directional two-tailed test w ith unequal rejection regions can have virtually the same power as a one-ta iled test and, unlike one-tailed tests, it provides for deciding in the unp redicted direction. However, a problem unresolved for one-tailed tests rema ins for the directional two-tailed test, namely, whether one should create unequal rejection regions just because one has grounds to predict an outcom e's direction. Nevertheless, the directional two-tailed test will satisfy r esearch needs much more frequently than will traditional tests and should b e adopted as the primary, general-purpose hypothesis test.