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YATES CUBE PLOT

YATES CUBE PLOT

Graphics Command

Generates a Yates cube plot.

The Yates plot is used in the design of experiments for 2-level full or fractional factorial designs. It is used in the case where you have three independent factors, each with two levels. The low level is coded as "-1" and the high level is coded as "+1".

This command draws a cube with vertices corresponding to either -1 or +1 for each of the three factors. At each vertex, the average of all the response values corresponding to that vertex is printed near that point. For example, at the vertex point (-1,1,-1), the average value for the response variable for all points where X1=-1, X2=1, and X3=-1 is printed.

YATES CUBE PLOT <y> <x1> <x2> <x3> <SUBSET/EXCEPT/FOR qualification>
where <y> is the response (= dependent) variable;
<x1> is the first factor (= independent) variable;
<x2> is the second factor (= independent) variable;
<x3> is the third factor (= independent) variable;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

YATES CUBE PLOT Y X1 X2 X3
YATES CUBE PLOT Y X1 X2 X3 SUBSET X4 = 4

The appearance of the plot is controlled by the settings of the LINE and CHARACTER command. In addition, you can use the attribute settings for LINE and CHARACTER (e.g., color, thickness) to further control the appearance.

The Yates cube plot can be extended to the 2⁴ and 2⁵ cases by using it with the CONDITION PLOT command. See the Program 2 and Program 3 examples below for details.

None

None

DEX MEAN PLOT	= Generate a dex mean plot.
YATES	= Perform a Yates analysis.
DEX CONTOUR PLOT	= Generates a dex contour plot.
CONDITION PLOT	= Generates a condition plot.

Box, Hunter, and Hunter (1978), "Statistics for Experimenters," John Wiley.

Design of Experiments

2000/7

SKIP 25
READ SPLETT3.DAT Y X1 X2 X3
TITLE YATES CUBE PLOT FOR SPLETT3.DAT
TITLE DISPLACEMENT -8
FRAME CORNER COORDINATES 0 0 100 100
YATES CUBE PLOT Y X1 X2 X3

skip 25
read splett4.dat y x1 x2 x3 x4
.
frame corner coordinates 0 0 100 100
multiplot corner coordinates 0 0 100 90
multiplot scale factor 2
set condition plot type yates cube
condition plot y x1 x2 x3 x4
.
move 50 95
just center
text Yates Cube Plot for splett4.dat

skip 25
read boxreact.dat y x1 x2 x3 x4 x5
.
frame corner coordinates 0 0 100 100
multiplot corner coordinates 0 0 100 100
multiplot scale factor 2
set condition plot type yates cube
set condition plot conditioning variables 2
condition plot y x1 x2 x3 x4 x5
.
move 50 3
just center
text Yates Cube Plot for boxreact.dat