ERIC Number: EJ927757
Record Type: Journal
Publication Date: 2011
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.)
Descriptors: Advanced Students, Regression (Statistics), Sampling, College Mathematics, Simulation, Teaching Methods, Computation, Computer Uses in Education, Educational Technology, Comparative Analysis
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Authoring Institution: N/A