ERIC Number: EJ1063471
Record Type: Journal
Publication Date: 2004-Jan
Abstractor: As Provided
Reference Count: N/A
Unequal Division of Type I Risk in Statistical Inferences
Meek, Gary E.; Ozgur, Ceyhun O.
Decision Sciences Journal of Innovative Education, v2 n1 p45-55 Jan 2004
Introductory statistics texts give extensive coverage to two-sided inferences in hypothesis testing, interval estimation, and one-sided hypothesis tests. Very few discuss the possibility of one-sided interval estimation at all. Even fewer do so in any detail. Two of the business statistics texts we reviewed mentioned the possibility of dividing the risk of a type I error unequally between the tails for a two-sided confidence interval. None of the textbooks that were reviewed even considered the possibility of unequal tails for two-sided hypothesis tests. In this paper, we propose that statistics courses and texts should cover both one-sided tests and confidence intervals. Furthermore, we propose that coverage, at least in two semesters and advanced courses, should also be given to unequal division of the nominal risk of a type I error for both tests and confidence intervals. Examples are provided for both situations.
Descriptors: Introductory Courses, Statistics, Inferences, Hypothesis Testing, Business, Textbooks, Error of Measurement, Tests, Computation, Statistical Analysis
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
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