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Plackett-Burman (PB)

Plackett-Burman (PB)

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Plackett-Burman (PB)

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In 1946, Plackett and Burman demonstrated how a full factorial design can be highly fractionalized to yield saturated designs, where the number of runs is a multiple of four, rather than a power of two. A Plackett-Burman (PB) DOE can screen the maximum number of main effects with the least number of experimental runs in case of two-level factors. PB designs are very economical designs, and are efficient in screening when only main effects are of interest. This is because the main effects in a PB design are, in general, heavily confounded with two-factor interactions.  The PB design in 12 runs, for example, may be used for an experiment containing up to 11 factors.

 

X1

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X11

1

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2

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11

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12

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-1

Plackett-Burman Design in 12 Runs for up to 11 Factors

 

Usability Characteristics

Only 2-level variables can be used.
The Number of runs is a factor of four.
The maximum number of variables you can use is 35.
Best suited for problems where the interactions are expected to be minimal and the main effects dominate.
Any data in the inclusion matrix is combined with the run data for post-processing. Any run matrix point which is already part of the inclusion data will not be rerun.

 

Settings

In the Specifications step, you can change the following settings of Plackett_burman from the Settings tab.

Parameter

Default

Range

Description

Design

AutoSelect

AutoSelect, pbdgn12, pbdgn20, pbdgn24, pbdgn28, pbdgn36, None

AutoSelect will pick the lowest number of runs sufficient to study effects.

pbdgn stands for Plackett Burman design.

Resolution

III

III

Resolution of the DOE.

Number of runs

(npt)

Dependant upon design selected.

12-36

Number of designs to be evaluated.

Use Inclusion Matrix

false

true or false

Concatenation without duplication between the inclusion and the generated run matrix.