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Modeling and Multivariate Methods - SAS

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Chapter 2 Introduction to the Fit Model Platform 41<br />

Construct Model Effects<br />

Macros<br />

Explanation of Nested Effects<br />

As an illustration of what the Nest button does, consider two schools with three teachers in each. School A<br />

has the following teachers: S<strong>and</strong>y, Greg, <strong>and</strong> Richard. School B has the following teachers: Brad, Amy, <strong>and</strong><br />

Sheila. Because the teachers in School A are not the same as the teachers in School B, the teacher effect is<br />

nested in the school effect.<br />

Comm<strong>and</strong>s that are launched from the Macros button automatically generate the effects for commonly<br />

used models.<br />

Table 2.3 Descriptions of the Macros Options<br />

Full Factorial<br />

Factorial to Degree<br />

Factorial Sorted<br />

Response Surface<br />

Mixture Response<br />

Surface<br />

Polynomial to Degree<br />

Creates all main effects <strong>and</strong> interactions for the selected columns.<br />

Creates all main effects <strong>and</strong> interactions to a specified degree. Specify the<br />

degree in the Degree box.<br />

Creates the same set of effects as the Full Factorial option but lists them in<br />

order of degree. All main effects are listed first, followed by all two-way<br />

interactions, then all three-way interactions, <strong>and</strong> so on.<br />

Creates main effects, two-way interactions, <strong>and</strong> quadratic terms. Main effects<br />

have the response surface attribute, which generates reports that are specific<br />

to response surface models.<br />

In a response surface model, the object is to find the values of the terms that<br />

produce a maximum or minimum expected response. This is done by fitting<br />

a collection of terms in a quadratic model. The critical values for the surface<br />

are calculated from the parameter estimates <strong>and</strong> presented with a report on<br />

the shape of the surface. See “Response Surface Curvature” on page 42.<br />

See also Response Surface Effect in “Attributes” on page 45.<br />

Creates main effects <strong>and</strong> two-way interactions. Main effects have the<br />

response surface <strong>and</strong> mixture attributes, which generates reports that are<br />

specific to mixture models.<br />

See the Design of Experiments book. See also Mixture Effect in “Attributes”<br />

on page 45.<br />

Creates main effects <strong>and</strong> polynomial terms to a specified degree. Specify the<br />

degree in the Degree box.

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