Summary
Combinatorial properties of various experimental designs derived from Room’s squares, relevant to statistical analysis of data from such designs have been examined. It is noticed in particular that a balanced Room’s square provides us with a doubly balanced design which can be used to estimate residual effects of treatments in a sequence of experiments using the same experimental units. It is shown how incomplete paired-comparison designs with a certain degree of symmetry can be derived from Room’s squares. Different approaches to analysis of data from paired-comparison designs for the purpose of establishing an order or partial order among the objects compared are examined. In particular it is noted that ‘Multidimensional Scaling techniques’ can be used on the dissimilarities between pairs of objects ascertained from paired-comparison designs to establish an order or partial order between the objects.
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Chakravarti, I.M. (1976). Statistical Designs from Room’s Squares with Applications. In: Ziegler, W.J. (eds) Contribution to Applied Statistics. Experientia Supplementum, vol 22. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5513-6_23
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DOI: https://doi.org/10.1007/978-3-0348-5513-6_23
Publisher Name: Birkhäuser, Basel
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