TRB Pubsindex
Text Size:

Title:

Estimating Percent Within Limits for Skewed Populations
Cover of Estimating Percent Within Limits for Skewed Populations

Accession Number:

01031138

Record Type:

Component

Availability:

Transportation Research Board Business Office

500 Fifth Street, NW
Washington, DC 20001 United States
Order URL: http://www.trb.org/Main/Public/Blurbs/158001.aspx

Find a library where document is available


Order URL: http://worldcat.org/isbn/0309099544

Abstract:

Computer simulation, using samples of size 3, 5, and 10, was used to evaluate the percent within limits (PWL) estimates for populations with skewness coefficients from 0.0 to ±3.0. The average bias and variability were then determined for the 10,000 PWL estimates. The analyses show that even a moderate amount of skewness in the underlying population can affect both the accuracy (bias) and the variability of individual lot PWL values. The amount of bias increased as the amount of skewness increased, and the bias also increased as the sample size increased. The results show that with two-sided specifications the bias varies not only in its magnitude but also in its sign, that is, positive or negative, depending on the split of defective material outside the lower and upper limits (the PDL/PDU split). The amount of variability also increases as a greater percentage of the defective material is on the long tail of the distribution. Increased variability means that errors in individual lot estimates will be larger and thereby create a greater spread in the pay factors on a project. If skewness is present, the population cannot be identified only by its PWL value. It will also be necessary to consider what percentage of the defective material is outside each of the specification limits. The analyses indicate that erroneous results for a population’s PWL value can be obtained if the population is only moderately skewed. For this reason it is important to monitor process data to ensure that they are from an approximately normal population.

Monograph Title:

Construction 2006

Monograph Accession #:

01031140

Language:

English

Authors:

Burati Jr, James L
Weed, Richard M

Pagination:

pp 71-81

Publication Date:

2006

Serial:

Transportation Research Record: Journal of the Transportation Research Board

Issue Number: 1946
Publisher: Transportation Research Board
ISSN: 0361-1981

ISBN:

0309099544

Media Type:

Print

Features:

Figures (16) ; References (6) ; Tables (3)

Subject Areas:

Construction; Highways; Materials; I50: Construction and Supervision of Construction

Files:

TRIS, TRB

Created Date:

Aug 22 2006 11:06AM

More Articles from this Serial Issue: