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Description
The programme looks at the rise of orthogonal latin squares for laying out varieties of glasshouse crops in agricultural experiments.
Metadata describing this Open University video programme
Module code and title: TM361, "Graphs, networks and design"
Item code: TM361; 06
First transmission date: 20-05-1981
Published: 1981
Rights Statement:
Restrictions on use:
Duration: 00:24:00
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Producer: Ted Smith
Contributors: Rosemary Bailey; Chris Rowley
Publisher: BBC Open University
Keyword(s): Block design; Orthogonal
Footage description: Rosemary Bailey, at the Glasshouse Crops Research Institute at Littlehampton, introduces the programme. She explains briefly, the sort of research being done here Inside one of the glasshouses, Rosemary Bailey points out the variability of conditions the plants are subject to and goes on to suggest that a division of plants into latin squares will enable researchers to allow for these. Chris Rowley in the studio, discusses methods for using latin squares in areas which are rectangular rather than square. He manipulates a graphics board while he talks. His first example postulates three varieties of plants. Rowley, using an animated diagram, explains how to use latin squares in a rectangular plot when there are six varieties of plants to consider. His initial attempt is unsatisfactory. Rosemary Bailey joins in and solves the problem by introducing orthogonal latin squares. Chris Rowley goes on to show how to recognise when latin squares are orthogonal. He uses diagrams of several latin squares as he talks. Rosemary Bailey demonstrates the use of orthogonal latin squares for glasshouse experiment where the glasshouse is three times as long as it is wide and where twelve varieties of plants are being tested. She uses mutually orthogonal latin squares for her solution. A definition of mutually orthogonal squares is given by Chris Rowley. An animated diagram helps to illustrate his points. Chris Rowley discusses the use of orthogonal latin squares in experiments with fruit trees which are performed over a number of years. Animated diagrams illustrate his points. Rosemary Bailey explains that most agricultural research experiments are not performed in rows and columns as seen so far in the programme, but rather in blocks. She discusses the use of latin squares in these block experiments. The latin squares are not used directly in the experiments but as constructional devices. Rosemary manipulates blocks and latin squares on a graphics board as she talks.
Production number: FOUT085S
Videofinder number: 1527
Available to public: no