Practical sheet | REF: FIC1412 V1

Determine a model that fits observed data as closely as possible

Author: Morgan GERMA

Publication date: April 10, 2015 | Lire en français

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3. What regression strategies are available?

In the literature, there are numerous strategies for estimating the parameters of a chosen model, each with its own advantages and disadvantages. The most commonly used technique is "least squares regression". This technique comes in a variety of more or less elaborate forms.

3.1 Ordinary least squares (OLS)

This method deals only with observed values of x and y, without taking into account the associated uncertainties. To be usable, this technique requires a number of conditions to be met:

  • no uncertainty in X (which is never the case in calibration, but can sometimes be assumed to be negligible);

  • identical uncertainty on y (which is rarely the case in calibration, as uncertainty...

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What regression strategies are available?