Table 1 . Test Data for Analysis by Deming Regression Method

Master Thesis

In method comparison experiments with replications, two measurement procedures (test method and comparative method) are compared using regression analysis. The ordinary linear regression approach often yields biased estimates of regression coefficients because the predictor (measurements of comparative method) contains random error. Instead, a linear error-in-variables regression model should b...

Test data matrix and results for linear regression analysis by method of W. E. Deming.

Evaluation of regression procedures for methods comparison studies.

Using simulation, I evaluated five regression procedures that are used for analyzing methods comparison data: ordinary least-squares regression analysis, weighted least-squares regression analysis, the Deming method, a weighted modification of the Deming method, and a rank procedure. I recorded the following performance measures: plus or minus bias of the slope estimate, the root mean squared e...

Deming, Theil-Sen, and Passing-Bablock Regression

Least squares regression of y on x assumes that the x variate is measured without error, and minimizes the sum of squared vertical distance between the data points y and the fitted regression line. Regression of x on y minimizes the horizontal distances. Adcock [1] in 1878 suggested minimizing the sum of squared horizontal + vertical distances to the predicted values. However the idea of Adcock...

General deming regression for estimating systematic bias and its confidence interval in method-comparison studies.

BACKGROUND Various forms of least-squares regression analyses are used to estimate average systematic error (bias) and its confidence interval in method-comparison studies. When assumptions that underlie a particular regression method are inappropriate for the data, errors in estimated statistics result. In this report, I present an improved method for regression analysis that is free from the ...