The structure of cyclic paired-comparison designs
- 1 February 1963
- journal article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 3 (1) , 117-127
- https://doi.org/10.1017/s1446788700027695
Abstract
When n objects are to be compared in pairs, a complete experiment requires N= comparisons. There are frequent occasions when it si desirable to make only a fraction F of the possible comparison, either because N is large or because even an individual comparison is laborious. The problem of what constitutes a satisfactory subset of the comparisons has been considered by Kendall [5[ who lays down the following two minimum requirements: (a) every object should appear equally often; (b) the design should be ‘connected‘ so that it is impossible to split the objects into two sets with no comparison made between objects in one set and objects in the other.Keywords
This publication has 3 references indexed in Scilit:
- Partially balanced incomplete block designs with two associate classes and two treatments per blockJournal of Research of the National Bureau of Standards, 1955
- Further Contributions to the Theory of Paired ComparisonsBiometrics, 1955
- A Class of Experimental Designs Using Blocks of Two PlotsThe Annals of Mathematical Statistics, 1953