Relative Standard Error of Estimates
The Relative Std Error of Estimates report gives the ratio of the standard deviation of a parameter’s estimate to the error standard deviation. These values indicate how large the standard errors of the model’s parameter estimates are, relative to the error standard deviation.
Figure 17.16 Relative Estimation Efficiency Comparing Two Split-Plot Designs
The relative estimation efficiency values are colored according to a color gradient shown under the table of relative estimation efficiency values. You can control the color legend using the options in the Relative Estimation Efficiency red triangle menu. See Color Legend.
Alias Matrix Summary
In the Compare Designs report, the Alias Matrix Summary table lists the terms in the assumed model. These are the terms that correspond to effects listed in the Model section. Given a design, for each entry in the Term column, the square root of the sum of the squared alias matrix entries for the terms corresponding to effects in the Alias Terms section is computed. This value is reported in the Root Mean Squared Values column for the given design. For an example, see Example of Calculation of Alias Matrix Summary Values.
The alias matrix addresses the issue of how terms that are not included in the model affect the estimation of the model terms, if they are indeed active. In the Alias Terms section, you list potentially active effects that are not in your assumed model but that might bias the estimates of model terms. The alias matrix entries represent the degree of bias imparted to model parameters by the Alias Terms effects. See Alias Terms.
Note: The Alias Matrix Summary report appears only if there are effects in the Alias Terms list.
Figure 17.17 Alias Matrix Summary for Two Designs
The Root Mean Squares Values are colored according to a color gradient shown under the Alias Matrix Summary table. You can control the color legend using the options in the Alias Matrix Summary red triangle menu. See Color Legend.
Relative Standard Error of Estimates
The Relative Std Error of Estimates report gives the ratio of the standard deviation of a parameter’s estimate to the error standard deviation. These values indicate how large the standard errors of the model’s parameter estimates are, relative to the error standard deviation. For the ith parameter estimate, the Relative Std Error of Estimate is defined as follows:
where:
X is the model matrix defined in “The Alias Matrix”, and
is the ith diagonal entry of 
.
Relative Efficiency Measures
Notation
• X is the model matrix
• p is the number of terms, including the intercept, in the model
• 
is the relative prediction variance at the point 
. See “Relative Prediction Variance”.