Abstract
Williams squares, also known as row quasi-complete Latin squares, that have circular structure are used in repeated measurements designs where error terms are correlated. They are known to exist for all orders that are not multiples of 4 and also order 8; there is no such square of order 4. We use a variation of the generating array method to construct a Williams square of order 12 with circular structure. We also give a product theorem that produces Williams squares of orders 8r and 12s, where the smallest prime divisor of r is at least 11 and the smallest prime divisor of s is at least 13, that have circular structure.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
