Youden Squares and Row–Column Designs
Published Online: 15 JUL 2005
Copyright © 2005 John Wiley & Sons, Ltd
Encyclopedia of Biostatistics
How to Cite
Gupta, S. 2005. Youden Squares and Row–Column Designs. Encyclopedia of Biostatistics. 8.
- Published Online: 15 JUL 2005
Often several other factors potentially contribute to the variability of the observed response in addition to the treatments or factors under investigation. For example, gender, age, and center may also affect the blood pressure of patients in a placebo-controlled hypertensive clinical trial. The technique of blocking is used to control the experimental error variation due to these types of extraneous sources. Two sources can be controlled using a Youden square or a row–column design, the rows and columns comprising two different systems of blocking. This article provides the details for the least squares analysis of these designs. Designs having variance balance, supplemented balance, row-orthogonality, adjusted-orthogonality, designs for factorial experiments, and computer algorithms for constructing designs are also briefly discussed.
- balanced incomplete block design;
- block design;
- complete block design;
- incomplete block design;
- Latin square design;
- row–column design;
- variance balance;
- Youden square design