Method comparison with the Deming regression with XLSTAT-Life
When developing a new method to measure the concentration or the quantity of an element (molecule, micro organism, …) you might want to check whether it gives results that are similar to a reference or comparative method or not.
Deming (1943) developed a regression method, that allows comparing two measurement methods (for example, two techniques for measuring concentration of an analyte), which supposes that measurement error are present in both X and Y. It overcomes the assumptions of the classical linear regression that are inappropriate for this application. XLSTAT-Life provides the Deming regression to evaluate the performance of a method compared to another.
XLSTAT-Life includes both simple and weighted Deming regression. Weighted Deming regression suppose that errors are proportionnal and simple Deming regression suppose that errors are constant.
Dataset for method comparison with the Deming regression
An Excel sheet with both the data and results used in this tutorial can be downloaded by clicking here.
The data correspond to a medical experiment during which the concentration of an antibody is measured for 8 mice submitted to 8 different doses of a new molecule being tested. For each mouse, a blood sample has been taken and divided into four homogeneous sub-samples. Two methods are being tested each on 2 of the 4 sub-samples. The first method is currently considered as the reference, but it is much more expensive than the second and new method.
Our goal is to check if it is possible to use the new method instead of the reference one.
Setting up a Deming regression
Once XLSTAT has been started, select the XLSTAT-Life / Deming regression function, or click on the corresponding button of the XLSTAT-Life toolbar (see below).
When you click on the button, a dialog box appears. Select the data that correspond to the first method, then to the second method.
When you click OK, the computations are done and the results are displayed.
Interpreting the results of a Deming regression
The first table displays the descriptive statistics for the two methods. The new method has a larger mean but a larger variance as well.
Then, the model coefficients are displayed.
The intercept value is -1.909 with confidence interval including 0. This value measures that the systematic difference between the two methods is equal to 0. If 0 is included in the confidence interval then the hypothesis that the intercept is 0 is not rejected.
The slope coefficient is equal to 1.21 with confidence interval including 1. That means that the proportional difference between the two methods is equal to 1. If 1 is included in the confidence interval then the hypothesis that the slope is equal to 1 is not rejected.
The confidence intervals are obtained using the jackknife method.
We can say that there no systematic and no proportional differences between the two methods.
The regression plot confirms these remarks:
We can say that both methods have no significant difference and that the new less expensive method can replace the old one.