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| Audience/Grade: | College Freshman-Professional Development |
| Discipline(s): |
Materials Engineering Petroleum Engineering |
| Special Topic(s): | |
| Learning Resource Type: |
Teaching - Case Study |
| Author(s): |
Organization:NIST and SEMATECH, U.S. Department of Commerce |
| Description: | This example illustrates the construction of a linear regression model for Alaska pipeline ultrasonic calibration data. This case study demonstrates the use of transformations and weighted fits to deal with the violation of the assumption of constant standard deviations for the random errors. This assumption is also called homogeneous variances for the errors. The Alaska pipeline data consists of in-field ultrasonic measurements of the depths of defects in the Alaska pipeline. The depth of the defects were then re-measured in the laboratory. These measurements were performed in six different batches. The data were analyzed to calibrate the bias of the field measurements relative to the laboratory measurements. In this analysis, the field measurement is the response variable and the laboratory measurement is the predictor variable. These data were provided by Harry Berger, who was at the time a scientist for the Office of the Director of the Institute of Materials Research (now the Materials Science and Engineering Laboratory) of NIST. These data were used for a study conducted for the Materials Transportation Bureau of the U.S. Department of Transportation. This case has background information, data, analyses, interpretations, along with pages for model refinement, model fitting, applications and a page for students to work out an example themselves. It is part of the case study collection in NIST's online handbook on Engineering Statistics, with the goal of helping scientists and engineers to incorporate statistical methods as efficiently as possible. |
| Rating: |
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| Related Resources | |
| Keywords: | engineering statistics applied statistics regression analysis non-homogeneous variances |
| Is Component of: |
Engineering Statistics Handbook |
| Usage Tip | |
| Related ABET Criteria: |
(b) Design and conduct experiments, analyze and interpret data |
| Use of Resource: |
Could be used as homework or a class example. |
| Difficulty: |
Difficult |
| Interactivity Level: |
Medium |
| Version Info | |
| Publication Date: | July 2007 |
| Platform/Format: |
WWW |
| Cost: |
Free |
| Download URL: | http://www.itl.nist.gov/div898/handbook/pmd/section6/pmd62.htm |
| Metadata: |
IEEE LOM Record |
| Collection: |
NEEDS
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