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Modeling and Multivariate Methods - SAS

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Chapter 9<br />

Performing Nonlinear Regression<br />

Using the Nonlinear Platform<br />

In many situations, especially in the physical <strong>and</strong> biological sciences, well-known nonlinear equations<br />

describe the relationship between variables. For example, bioassay experiments are conducted by<br />

pharmacology researchers to underst<strong>and</strong> how the strength of the response to a drug changes as a function of<br />

drug concentration. The Logistic family of curves often accurately describes how the response strength is<br />

related to drug concentration. Another example is exponential growth curves, which can predict the size of a<br />

population over time.<br />

The Nonlinear platform makes it easy to fit common nonlinear relationships. The Fit Curve personality of<br />

the Nonlinear platform has a library of built-in models. Fit Curve also enables the user to compare different<br />

groups or subjects using a variety of analytical <strong>and</strong> graphical techniques.<br />

The Nonlinear platform also has a general nonlinear modeling framework for fitting user-defined nonlinear<br />

models <strong>and</strong> loss functions not found in the library of built in models.<br />

Figure 9.1 Example of Nonlinear Fit

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