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Quality and Reliability Methods - SAS

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Chapter 10 Variability Charts 161<br />

Variance Components<br />

Table 10.1 Models Supported by the Variability Charts Platform<br />

Model Factors Effects in the model<br />

Crossed 1<br />

2<br />

3<br />

4<br />

5<br />

Nested 1<br />

2<br />

3<br />

4<br />

A<br />

A, B, A*B<br />

A, B, A*B, C, A*C, B*C, A*B*C<br />

A, B, A*B, C, A*C, B*C, A*B*C, D, A*D, B*D, A*B*D, C*D,<br />

A*C*D, B*C*D, A*B*C*D,<br />

<strong>and</strong> so on, for 5, 6 factors<br />

A<br />

A, B(A)<br />

A, B(A), C(A,B)<br />

A, B(A), C(A,B), D(A,B,C)<br />

Crossed then Nested 3 A, B, A*B, C(A,B)<br />

Nested then Crossed 3 A, B(A), C, A*C, C*B(A)<br />

Variance Component Method<br />

The platform launch dialog enables you to choose the method for computing variance components. Click<br />

the Analysis Settings button to get the following dialog.<br />

Figure 10.9 Variance Component Options<br />

Choose best analysis (EMS, REML, or Bayesian) is the default option. The logical flow of this option<br />

is described below:<br />

– If the data are balanced, <strong>and</strong> if no variance components are negative, the EMS (expected mean<br />

squares) method is used to estimate the variance components.

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