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436 Main Menu Appendix B<br />

The Analyze Menu<br />

Screening Helps select a model to fit to a two-level screening design by showing which effects are<br />

large. For details, see the JMP Statistics and Graphics <strong>Guide</strong>.<br />

Nonlinear Fits nonlinear models, which are models that are nonlinear in their parameters. You<br />

orchestrate the fitting process as a coordination of three important parts of JMP: the data table,<br />

the formula editor, and the Nonlinear platform.<br />

You define the nonlinear prediction formula with the formula editor. Then select Nonlinear with<br />

the response variable as y and the model column with its fitting formula in the x role. You<br />

interact with the platform through the Nonlinear Fitting control panel using:<br />

• Buttons to start, stop, and step through the fitting process, and to reset parameter values<br />

• Fitting options to specify loss functions and computational methods<br />

• A processing messages area<br />

• A list of current and limit convergence criteria and step counts, current parameter estimates,<br />

and error sum of squares<br />

• Options to specify the alpha level for confidence intervals and delta for numerical derivatives<br />

The Nonlinear platform can show the model and the derivatives of the model with respect to<br />

each of its parameters, and the fitting solution reports. There are features that give confidence<br />

intervals on the parameters and plot the resulting function if it is of a single variable. You can also<br />

save the SSE values in a data table with a grid for plotting them. The chapter “Nonlinear<br />

Regression” of JMP Statistics and Graphics <strong>Guide</strong> describes the Nonlinear command in detail and<br />

gives examples.<br />

Neural Net Is a standard type of neural network. It is a particular case of a back propagation<br />

feed-forward multilayer-perception neural net. The neural network is a set of nonlinear<br />

equations that predict output variables (y) from input variables (x) in a flexible way using layers<br />

of linear regressions and S-shaped functions. JMP fits the neural net using standard nonlinear<br />

least squares regression methods. See the JMP Statistics and Graphics <strong>Guide</strong> for details.<br />

Gaussian Process Models the relationship between a continuous response and one or more<br />

continuous predictors. These models are common in areas like computer simulation<br />

experiments, such as the output of finite element codes, and they often perfectly interpolate the<br />

data. Gaussian processes can deal with these no-error-term models.<br />

The Gaussian Process platform fits a spatial correlation model to the data, where the correlation<br />

of the response between two observations decreases as the values of the independent variables<br />

become more distant.<br />

The main purpose for using this platform is to obtain a prediction formula that can be used for<br />

further analysis and optimization. For details, see the JMP Statistics and Graphics <strong>Guide</strong>.<br />

Partition Recursively partitions rows into groups according to x values that associate with y values.<br />

This partitioning creates a tree of partitions.<br />

The factor columns (x) can be either continuous or categorical (nominal or ordinal). If an x is<br />

continuous, then the splits (partitions) are created by a cutting value, which divides the sample<br />

into values below and values above this cutting value. If the x is categorical, then the sample is<br />

divided into two groups of levels.<br />

The response column (y) can be either continuous or categorical (nominal or ordinal). If y is<br />

continuous, then the platform fits means, and creates splits which most significantly separate the

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