Adds the number of blocks specified in the Number of Blocks text box. Constructs a design where block effects are orthogonal to main effects and where the model consisting of all main and quadratic effects is estimable. For details, see Add Blocks with Center Runs to Estimate Quadratic Effects
Adds the number of blocks specified in the Number of Blocks text box. Adds only as many center runs as required by the design structure. Constructs a design where block effects are orthogonal to main effects, but the model consisting of all main effects and quadratic effects might not be estimable. For details, see Add Blocks without Extra Center Runs.
Note: Use the Add Blocks without Extra Center Runs option only if you can assume that not all quadratic effects are important.
Adds non-center runs that enable you to conduct effective model selection. See Extra Runs and Effective Model Selection for DSDs in The Fit Definitive Screening Platform.
If a design contains a categorical factor, a center run is a run where all continuous factors are set at their middle values. If all factors are categorical, the two blocking options are available. Both options produce designs whose blocks are orthogonal to main effects.
Note: For details about the construction and properties of blocked designs that estimate quadratic effects, see Jones and Nachtsheim (2016). The paper also contains information about treating the blocks as random effects.
The Add Blocks with Center Runs to Estimate Quadratic Effects option constructs a design with these properties:
If a design contains only continuous factors, a blocked design for k factors having these properties can be constructed as follows:
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When some factors are categorical, the Add Blocks with Center Runs to Estimate Quadratic Effects option adds pairs of center runs within certain blocks. This structure ensures orthogonality and the ability to estimate all main and quadratic effects.
Because the only requirement on block size is that a block contains a foldover pair, the number of blocks can range from 2 to k, if k is even and from 2 to k+1, if k is odd. See Conference Matrices and the Number of Runs. JMP attempts to construct blocks of equal size.
The Add Blocks without Extra Center Runs option constructs a design that has a single center run when all factors are continuous and two center runs when some factors are categorical. The resulting design has these properties:
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A blocked design for k factors without extra center runs is constructed as follows:
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If there are categorical factors, the unblocked definitive screening design requires the addition of two center runs to the foldover pairs defined by the conference matrix. See Conference Matrices and the Number of Runs. To construct the blocked design without extra center runs, these two center runs are added to a single block.
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Because the only requirement on block size is that a block contains a foldover pair, the number of blocks can range from 2 to k, if k is even and from 2 to k+1, if k is odd. See Conference Matrices and the Number of Runs. JMP attempts to construct blocks of equal size.