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A special orthogonal design


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Posted by rcolberg on October 13, 1999 at 17:54:02:

In Reply to: "Rotation" creating utility..? Where? posted by Anthony Malena on October 11, 1999 at 13:02:51:

There exists a way to obtain several special properties in a special latin square, and example follows for a 6X6 LS. Each row can be thought of as a rotation:

A B C D E F
B D A F C E
C A E B F D
D F B E A C
E C G A D B
F E D C B A

The interesting property of this special LS is that in each rotation, the adjacent element is different for all elements. Therefore, the order bias is controlled for if these rotations are assigned randomly to respondents.

If you are interested in a description of how to construct this special LS and some other examples, let me know by e-mail "gsgroup2atmsn.com" and I will send the paper to you.

Roger Colberg





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