Analyzing residuals in calibration problems

Samuel D. Oman

doi:10.1080/00401706.1984.10487987

Analyzing residuals in calibration problems

Samuel D. Oman^*

^*Corresponding author for this work

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2 Scopus citations

Abstract

The analysis of residuals in the calibration or inverse-regression problem is considered. A statistic is proposed that is appropriate to the specific use of the regression equation in this context—namely, estimating x from y. The statistic, similar in spirit to Cook's distance, may be used to measure the influence a particular observation may have on future estimates of x from the calibration curve. It may also be used to measure the differences between estimates of x obtained using calibration curves based on different models. An example is given.

Original language	English
Pages (from-to)	347-353
Number of pages	7
Journal	Technometrics
Volume	26
Issue number	4
DOIs	https://doi.org/10.1080/00401706.1984.10487987
State	Published - Nov 1984

Keywords

Cook's distance
Influence
Inverse regression

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10.1080/00401706.1984.10487987

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AB - The analysis of residuals in the calibration or inverse-regression problem is considered. A statistic is proposed that is appropriate to the specific use of the regression equation in this context—namely, estimating x from y. The statistic, similar in spirit to Cook's distance, may be used to measure the influence a particular observation may have on future estimates of x from the calibration curve. It may also be used to measure the differences between estimates of x obtained using calibration curves based on different models. An example is given.

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KW - Influence

KW - Inverse regression

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JO - Technometrics

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Analyzing residuals in calibration problems

Abstract

Keywords

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