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Details of the FACTEX Procedure |

**SIZE***size-specification***;**-
You use the SIZE statement to specify the size of the design, which
is the number of runs in the design.
The SIZE
statement is required for designs of less than a
full replicate (for example, fractional factorial designs).
By default, the design consists of one full
replication of all possible combinations of the factors.

The two simplest explicit*size-specifications*that you can use are- DESIGN=
*n*, which specifies the number of runs (*n*) in the design - FRACTION=
*h*, which specifies 1/*h*of one full replicate

Use only one of these two options. In all, there are six mutually exclusive*size-specifications*that you can use, as described by the following list:

- DESIGN=
**DESIGN=***n*-
specifies the actual number of runs in the design. The number
of runs must be a power of the number of levels
*q*for the factors in the design. (See the NLEV= option. If the last FACTORS statement does not contain the NLEV= option, then*q*=2 by default, and as a result,*n*must be a power of 2. For an example, see Example 15.1. **FRACTION=***h*-
specifies the fraction of one full replication of all
possible combinations of the factors. For instance, FRACTION=2 specifies a
half-fraction, and FRACTION=4 specifies a quarter-fraction, and so on. In
general, FRACTION=
*h*specifies a design with 1/*h*of the runs in a full replicate. If the design has*f*factors, each with*q*levels, then the size of the design is*q*^{f}/*h*. If you use FRACTION=*h*,*h*must be a power of*q*. See Example 15.4. **NRUNFACS=***m*-
specifies the number of
*run-indexing factors*in the design. The design contains one run for each possible combination of the levels of the run-indexing factors. Run-indexing factors are the first*m*factors for a design in*q*^{m}runs. All possible combinations of the levels of the run-indexing factors occur in the design. As a result, if each factor has*q*levels, the number of runs in the design is*q*^{m}. For details on run-indexing factors, see "Types of Factors"

and "Structure of General Factorial Designs" . **DESIGN=MINIMUM****FRACTION=MAXIMUM****NRUNFACS=MINIMUM**-
constructs a design with the minimum number of runs
(no larger than one full replicate) given all of the
other characteristics of the design.
In other words, the design
size is optimized. You cannot
specify this option if you specify any of the block size optimization
features in the BLOCKS statement
.

size design=128; size fraction=16; size nrunfacs=7;

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