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ERIC Number: EJ954195
Record Type: Journal
Publication Date: 2011
Pages: 11
Abstractor: As Provided
Reference Count: 10
ISSN: ISSN-0730-8639
Confidence Intervals for the Mean: To Bootstrap or Not to Bootstrap
Calzada, Maria E.; Gardner, Holly
Mathematics and Computer Education, v45 n1 p28-38 Win 2011
The results of a simulation conducted by a research team involving undergraduate and high school students indicate that when data is symmetric the student's "t" confidence interval for a mean is superior to the studied non-parametric bootstrap confidence intervals. When data is skewed and for sample sizes n greater than or equal to 10, the results suggest the superiority of the bootstrap "t" confidence interval, underscoring the utility of this procedure. We recommend introduction of bootstrapping at the undergraduate level for students who already have an understanding of confidence intervals. Our simulations may be replicated by readers and their students to aid in their understanding of the procedures and to confirm our results. (Contains 10 tables, 2 figures, and 3 footnotes.)
MATYC Journal Inc. Mathematics and Computer Education, P.O. Box 158, Old Bethpage, NY 11804. Tel: 516-822-5475; e-mail: Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Higher Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Louisiana