On Discovering Youden Rectangles With Columns of Treatments in Cyclic Order

Author(s):

Beall, Geoffrey; Ferris, John J.

Publication Year:

1971

Report Number:

RB-71-37

Source:

ETS Research Bulletin

Document Type:

Report

Page Count:

15

Subject/Key Words:

Data Analysis, Mathematical Applications, Research Design

Abstract

We are concerned with the important class of Youden rectangles, or incomplete latin squares, with treatments in cyclic order. The most economical way to write such a design is to conceive the treatments of the first block, or row, in ascending order and the forward differences of that row. By a special algorithm involving diagonal addition of the differences, it is possible to determine rapidly whether a given arrangement of such differences, and hence of treatments, will give rise to a Youden rectangle.

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• http://dx.doi.org/10.1002/j.2333-8504.1971.tb00611.x