Fitting a straight line when both variables are subject to error: pharmaceutical applications

• Published in: Journal of pharmaceutical and biomedical analysis Vol. 12; no. 10; p. 1265
• Main Author: Roy, T
• Format: Journal Article
• Language: English
• Published: England 01.10.1994
• Subjects: Chemical Phenomena; Chemistry, Pharmaceutical - methods; Chemistry, Physical; Least-Squares Analysis; Models, Statistical
• ISSN: 0731-7085
• DOI: 10.1016/0731-7085(94)00057-3

In many pharmaceutical applications one postulates a linear relationship between variables. The usual linear least-squares methods are appropriate when the values of the independent variable are constants, and the dependent variable is subject to error. When both variables are subject to error, as in assay validation, calibration, and general correlation, the measurement error model (also called errors-in-variables) should be used especially when independent variable error is appreciable. In this paper, the theoretical properties of errors-in-variables methods are demonstrated with examples, and a technique for assessing the variability of parameter estimates without normality assumptions is presented. Robust methods resistant to outliers and not requiring normality assumptions, are also described.