2002
DOI: 10.1007/s00897020596a
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Teaching Chemometrics with a Bioprocess: Analytical Methods Comparison Using Bivariate Linear Regression

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Cited by 8 publications
(4 citation statements)
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“…The recommended test is the so-called elliptical joint confidence region (EJCR) test, which implies drawing the EJCR for the slope and intercept of the above linear plot, and checking whether the ideal point (slope = 1, intercept = 0) is included in the ellipse [22]. It should be noticed that for nonconstant prediction variance, a regression technique should be employed accounting for the fact that there are non-constant errors, such as weighted least-squares (WLS) or bilinear leastsquares (BLS), and not ordinary least-squares (OLS), as is usually done [23,24]. Otherwise, dramatically different conclusions might be obtained [24].…”
Section: Recovery Studiesmentioning
confidence: 99%
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“…The recommended test is the so-called elliptical joint confidence region (EJCR) test, which implies drawing the EJCR for the slope and intercept of the above linear plot, and checking whether the ideal point (slope = 1, intercept = 0) is included in the ellipse [22]. It should be noticed that for nonconstant prediction variance, a regression technique should be employed accounting for the fact that there are non-constant errors, such as weighted least-squares (WLS) or bilinear leastsquares (BLS), and not ordinary least-squares (OLS), as is usually done [23,24]. Otherwise, dramatically different conclusions might be obtained [24].…”
Section: Recovery Studiesmentioning
confidence: 99%
“…It should be noticed that for nonconstant prediction variance, a regression technique should be employed accounting for the fact that there are non-constant errors, such as weighted least-squares (WLS) or bilinear leastsquares (BLS), and not ordinary least-squares (OLS), as is usually done [23,24]. Otherwise, dramatically different conclusions might be obtained [24].…”
Section: Recovery Studiesmentioning
confidence: 99%
“…These precisions can be considered using the different existing approaches for calculating regression coefficients and related statistical parameters that consider errors in both axes (Olivieri & Goicoechea, ; Riu & Rius, ). Franco, Mantovani, Goicoechea, and Olivieri () reported the dangers of not using a correct regression method for the comparison of analytical methods. In addition, the fact that in some cases the weighted least‐squares (WLS) and bivariate least‐squares (BLS) methods can produce similar results, but very different from those provided by OLS (ordinary linear regression), is discussed by these authors.…”
Section: Discussionmentioning
confidence: 99%
“…Any prediction problem, whether systematic or random, will occur during the analytical procedure it will generate deviations from this linear behavior . For this reason, this correlation of results was examined through the elliptical joint confidence region (EJCR) method, which measures the acceptable range for the intercept and the slope simultaneously with a statistical confidence of 95%.…”
Section: Methodsmentioning
confidence: 99%