Quantitative analysis of variability and uncertainty with known measurement error: Methodology and case study

Zheng, JY; Frey, HC

HERO ID

540175

Reference Type

Journal Article

Year

2005

Language

English

PMID

16022698

HERO ID 540175
In Press No
Year 2005
Title Quantitative analysis of variability and uncertainty with known measurement error: Methodology and case study
Authors Zheng, JY; Frey, HC
Journal Risk Analysis
Volume 25
Issue 3
Page Numbers 663-675
Abstract The appearance of measurement error in exposure and risk factor data potentially affects any inferences regarding variability and uncertainty because the distribution representing the observed data set deviates from the distribution that represents an error-free data set. A methodology for improving the characterization of variability and uncertainty with known measurement errors in data is demonstrated in this article based on an observed data set, known measurement error, and a measurement-error model. A practical method for constructing an error-free data set is presented and a numerical method based upon bootstrap pairs, incorporating two-dimensional Monte Carlo simulation, is introduced to address uncertainty arising from measurement error in selected statistics. When measurement error is a large source of uncertainty, substantial differences between the distribution representing variability of the observed data set and the distribution representing variability of the error-free data set will occur. Furthermore, the shape and range of the probability bands for uncertainty differ between the observed and error-free data set. Failure to separately characterize contributions from random sampling error and measurement error will lead to bias in the variability and uncertainty estimates. However, a key finding is that total uncertainty in mean can be properly quantified even if measurement and random sampling errors cannot be separated. An empirical case study is used to illustrate the application of the methodology.
Doi 10.1111/j.1539-6924.2005.00620.x
Pmid 16022698
Wosid WOS:000230468500014
Url https://www.proquest.com/scholarly-journals/quantitative-analysis-variability-uncertainty/docview/17129268/se-2?accountid=171501
Is Certified Translation No
Dupe Override No
Is Public Yes
Language Text English
Keyword measurement errors; Risk Abstracts; Uncertainty; Monte Carlo simulation; R2 23010:General: Models, forecasting