Joined: May 20 2005
Location: New Jersey
|Posted: Thu Jun 03, 2010 5:06 pm Post subject: Latin Square Designs
Latin Square Designs Randomization
SIMS 2000 utilizes latin square randomization techniques for many randomization needs in SIMS 2000.
Optional experimental design sample randomizations and/or your custom experimental plans.
See your SIMS 2000 Test Definition rotation plan report for final verification of your test's sample presentations.
In SIMS 2000 you can pre-select any of the preset Latin Square Williams Designs for 2 to 26 treatments
into your SIMS 2000 Experimental Plans under the Blocks tab.
Reference excel spreadsheet with preset Latin Square Williams Designs for 2 to 26 treatments. Latin-Square-Williams-Designs.xls
Latin Square definition:
A Latin square is an n × n table filled with n different treatments in such a way that each treatment occurs exactly once in each row and exactly once in each column. Here is an example:
1 2 3 / 2 3 1 / 3 1 2 Latin Squares places each product in each position an equal number of times.
Latin Squares are not fully balanced randomized designs, and generally intended when n is not large.
Latin Squares are for complete blocks only.
Tom Carr, June 2010, Latin Square Williams Designs.
- Good cross-over design, balanced with respect to first-order carry-over effects
- Every treatment follows every other treatment the same number of times
- Williams Designs require fewer subjects than those based on complete sets of Latin squares
References: Sensory Evaluation Techniques, Civille, pg 264 (2nd Ed), pg 295 (3rd Ed), pg 346 (4th Ed).
References: Wikipedia websites: http://en.wikipedia.org/wiki/Latin_square
References: Latin Square Williams Designs: http://statpages.org/latinsq.html
Sensory Computer Systems