Homoscedastic controlled calibration model | Zendy

Achic Betsabé G. Blas | Zendy; Sandoval Mônica C. | Zendy; Yoshida Olga Satomi | Zendy

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Homoscedastic controlled calibration model

Author(s) -

Achic Betsabé G. Blas,

Sandoval Mônica C.,

Yoshida Olga Satomi

Publication year - 2007

Publication title -

journal of chemometrics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.47

H-Index - 92

eISSN - 1099-128X

pISSN - 0886-9383

DOI - 10.1002/cem.1053

Subject(s) - homoscedasticity , unobservable , calibration , context (archaeology) , variable (mathematics) , statistics , mathematics , fisher information , confidence interval , errors in variables models , value (mathematics) , computer science , econometrics , heteroscedasticity , paleontology , mathematical analysis , biology

In the context of the usual calibration model, we consider the case in which the independent variable is unobservable, but a pre‐fixed value on its surrogate is available. Thus, considering controlled variables and assuming that the measurement errors have equal variances we propose a new calibration model. Likelihood‐based methodology is used to estimate the model parameters and the Fisher information matrix is used to construct a confidence interval for the unknown value of the regressor variable. A simulation study is carried out to asses the effect of the measurement error on the estimation of the parameter of interest. This new approach is illustrated with an example. Copyright © 2007 John Wiley & Sons, Ltd.

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