NotesFAQContact Us
Collection
Advanced
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ927757
Record Type: Journal
Publication Date: 2011
Pages: 6
Abstractor: ERIC
Reference Count: 19
ISBN: N/A
ISSN: ISSN-0141-982X
Why is "S" a Biased Estimate of [sigma]?
Sanqui, Jose Almer T.; Arnholt, Alan T.
Teaching Statistics: An International Journal for Teachers, v33 n1 p23-28 Spr 2011
This article describes a simulation activity that can be used to help students see that the estimator "S" is a biased estimator of [sigma]. The activity can be implemented using either a statistical package such as R, Minitab, or a Web applet. In the activity, the students investigate and compare the bias of "S" when sampling from different populations. In the case of sampling from a Normal population, the exact bias of "S" is derived. For advanced students, a nonlinear regression method can be used in the activity to obtain an approximation to the bias of "S" when sampling from non-Normal populations (see the R code on the web). The activity can be easily modified to investigate the bias and possibly other properties (such as consistency) of other statistics, providing teachers a flexible pedagogical tool. (Contains 4 figures and 1 table.)
Wiley-Blackwell. 350 Main Street, Malden, MA 02148. Tel: 800-835-6770; Tel: 781-388-8598; Fax: 781-388-8232; e-mail: cs-journals@wiley.com; Web site: http://www.wiley.com/WileyCDA/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A