ADXPBD: Construct Plackett-Burman Designs

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Macros for the Design and Analysis of Experiments

ADXPBD: Construct Plackett-Burman Designs

%adxpbd(ds, nf)

where

ds gives the name of the output data set for the constructed design.

nf gives the number of factors in the design.

The ADXPBD macro constructs Plackett-Burman designs. These are orthogonal main-effect screening designs with a minimum number of runs, for 1 to 47 factors. The designs were first discussed by Plackett and Burman (1947).

The number of runs in these designs will be the smallest multiple of 4 that is greater than the number of factors. These are main-effects-only designs. The designs give no protection against two-factor interactions and have few (if any) degrees of freedom available for error. Thus, these designs should be used with caution. They are most appropriate in situations where a very large number of factors need to be screened and a minimum-run design is absolutely necessary.

To construct a design for 11 two-level factors and store it in the data set A, use the following statements:

   %adxgen
   %adxff
   %adxinit
   %adxpbd(a,11)

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ds	gives the name of the output data set for the constructed design.
nf	gives the number of factors in the design.