1.
Select DOE > Space Filling Design.
3.
Alter the factor level values, if necessary. For example, Space-Filling Dialog for Four Factors shows adding two factors to the two existing factors and changing their values to 1 and 8 instead of the default –1 and 1.
Space-Filling Dialog for Four Factors
4.
Click Continue.
5.
In the design specification dialog, specify a sample size (Number of Runs). This example uses a sample size of eight.
6.
Click Latin Hypercube (see Space-Filling Design Dialog). Factor settings and design diagnostics results appear similar to those in Latin Hypercube Design for Four Factors and Eight Runs with Eight Levels, which shows the Latin Hypercube design with four factors and eight runs.
Latin Hypercube Design for Four Factors and Eight Runs with Eight Levels
3.
Click Continue.
5.
Click Latin Hypercube. Factor settings and design diagnostics are shown in Latin Hypercube Design with two Factors and Eight Runs.
Latin Hypercube Design with two Factors and Eight Runs
6.
Click Make Table.
7.
Select Graph > Overlay Plot.
8.
Specify X1 as X and X2 as Y, then click OK.
9.
Right-click the plot and select Size/Scale > Size to Isometric to adjust the frame size so that the frame is square.
10.
Right-click the plot, select Customize from the menu. In the Customize panel, click the large plus sign to see a text edit area, and enter the following script:
where 0.404 is the minimum distance number you noted in the Design Diagnostics panel (Latin Hypercube Design with two Factors and Eight Runs). This script draws a circle centered at each design point with radius 0.202 (half the diameter, 0.404), as shown on the left in Comparison of Latin Hypercube Designs with Eight Runs (left) and 10 Runs (right). This plot shows the efficient way JMP packs the design points.
11.
Repeat the above procedure exactly, but with 10 runs instead of eight (step 5). Remember to change 0.404 in the graphics script to the minimum distance produced by 10 runs.
You should see a graph similar to the one on the right in Comparison of Latin Hypercube Designs with Eight Runs (left) and 10 Runs (right). Note the irregular nature of the sphere packing. In fact, you can repeat the process to get a slightly different picture because the arrangement is dependent on the random starting point.
Comparison of Latin Hypercube Designs with Eight Runs (left) and 10 Runs (right)