2.42.3.1.2 The Analyze Factorial Design Dialog Box

1 Supported Information
2 Model
3 Stepwise
4 Quantities
5 Diagnotics
6 Prediction
7 Plots
8 Dialog Theme

Supported Information

To open the Analyze Design dialog

Activate a worksheet with your experimental design data which is generated via Generate Design or Define Custom Design
Select Statistics: Quality Improvement: Design of Experiment from the Origin menu
Select the Analyze Design icon

Topics for Further Reading:

Model

Response	Select the column containing the measured outcome variable.
Model Terms	Specify which effects to include in the fitted model. Click the + button to open a dialog to select model terms In the opened dialog, you can choose the Model Order and add or remove the terms from the right panel and click the OK button to define the model.
Include Blocks in the Model	Toggle whether block terms are included as fixed effects in the regression model.
Include Center Points in the Model	Toggle whether center points are included in the model fitting.
Coding Type	Specifies how factor levels are coded for the regression: (-1,0,1) (1,0)
Categorical Factor Table	When the design includes categorical (qualitative) factors, this table lists them and their levels. It allows you to review or set reference levels and coding schemes for categorical variables.

Stepwise

Perform stepwise regression to identify the best subset of the model. Four selection methods are available. Please refer to the Stepwise Regression for Analyze Design page for more details

Method	Select the stepwise regression methods None Stepwise Forward Selection Backward Elimination
Alpha to Add	The significance threshold for adding a term to the model. A candidate term enters the model only if its p-value is below this threshold.
Alpha to Remove	The significance threshold for removing a term already in the model. A term is removed if its p-value exceeds this threshold.
Hierarchical Model	Controls whether the final model respects the principle of hierarchy's lower-order terms (main effects) must be present when higher-order terms (interactions or quadratics) involving those factors are in the model. Require a Hierarchical Model at Each Step Add Terms at the End to Ensure a Hierarchical Model Do Not Require a Hierarchical Model
Show Model Selection Details	Displays the step-by-step log of the selection process in the output.

Quantities

Select which numerical results are reported after fitting the model. Refer to the interpreting results page for details of the statistics

Coefficients Table	Selects the statistics displayed for each model term. Refer to the interpreting results page for details of the statistics Coefficients Standard Error Confidence Limits t-Value Prob>\|t\| VIF
Coefficients Type	Provides selection as below. Refer to the interpreting results page for the difference of coded and uncoded coefficients Codes Uncoded Both
Confidence Level (%)	Sets the confidence level for the interval estimates (default is 95%). A higher level produces wider intervals but greater confidence that the true value is captured.
Regression Equation	When enabled, outputs the fitted regression equation. This lets you predict the response by plugging in factor values.
ANOVA Table	When enabled, displays the Analysis of Variance table, which partitions the total variation into model, residual, and lack-of-fit components. It provides the overall F-test and p-value to assess whether the model explains a significant portion of the variation.
Fit Statistics	These metrics summarize how well the model fits the data. Refer to the interpreting results page for details of the fit statistics R-Sqaure Adj.R-Sqaure Residual Sum of Square Predicted R-Square PRESS Root-MSE (SD)
Means Table	Controls which fitted (least squares) means are reported None No means table is generated. Main Effects Reports the fitted mean response at each level of every main effect, averaged over the levels of other factors in the model. Custom Reports means for user-specified terms. Use the Terms for Means box to select specific terms—such as two-way interactions (e.g., AB, AC, B*C) or individual main effects by clicking the + button

Diagnotics

The Diagnostics tab controls which residual and fitted-value outputs are generated for checking model assumptions and spotting unusual observations.

Refer to the diagnotics section in the interpreting results page for details of the fitted results and residuals

Fitted Values	When enabled, reports the predicted response value for each run based on the fitted model. These are the values the model expects, used to compare against actual observations.
Residuals	Select which type of residual values to be output Regular Standardized Studentized Studentized Deleted

Prediction

The Prediction tab controls whether to generate the prediction worksheet for calculating response values and their associated uncertainty intervals from specified factor values.

Refer to the Model Prediction - Find Y from X page for details on the generated worksheet.

Find Y from X	Toggles the prediction calculation on or off. When enabled, a worksheet named DOEFindYfromX is generated. In the worksheet, enter factor values into the respective columns, the predicted response (Y) are calculated automatically.
95% Confidence Limits for Predicted Y	When checked, the report includes the 95% confidence interval for the mean response at each set of factor levels
95% Prediction Limits for Predicted Y	When checked, the report includes the 95% prediction interval for an individual future observation.

Plots

The Plots tab lets you select which diagnostic and exploratory graphs to generate from the fitted model.

Plots	Select the plots to generate from the fitted model. Refer to the Plots in DOE page for details of the plots Fitted Plot Residual Plot Effects Plot Main Effect Plots 2-way interaction Plots Cube Plot Contour Plot Surface Plot
Residual Type	Choose the residual type to be used for the residual plot. Refer to the diagnotics section in the interpreting results page for details of the residuals Regular Standardized Studentized Studentized Deleted
Settings of Cube Plot	Available only if Cube Plot is selectedf from the Plots control Configures which three factors and which type of means are displayed. Means to Use Select the mean type plotted at each vertex. Fitted Means uses the least-squares means estimated by the model, adjusted for other terms in the equation. 1st Factor Assigns the first factor to a cube axis 2nd Factor Assigns the second factor to a cube axis 3rd Factor Assigns the third factor to a cube axis
Settings of Contour and Surface Plot	Available only if Contour Plot or Surface Plot is selectedf from the Plots control The section enables you to select which two continuous factors to be used as X/Y axes and define the specific operating conditions for the contour or surface slice Factor for X Axis / Y Axis Choose which two factors form the plot axes Specify Value for Other Factors in Model Hold every other factor at a fixed value to generate a slice of the response contour/surface

Dialog Theme

Save and load the settings of the dialog. Use this to store frequently used factor configurations, design options, or output preferences, then recall them for future designs without re-entering all values.