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Computer assisted design of experiments

Jones, B. (1980) Computer assisted design of experiments. Doctor of Philosophy (PhD) thesis, University of Kent. (doi:10.22024/UniKent/01.02.94448) (KAR id:94448)


It is now generally true that the computer is widely used for analysing data from comparative experiments but relatively little attention has been paid to how the computer can assist at the design stage of an experiment. This thesis attempts to remedy this situation. In Chapter 1 an attempt is made to formalize the conversation that takes place between an experimenter and a statistical consultant with a view to transferring the consultant's skills to the computer. To determine the difficulties involved experiments to compare two treatment means are considered. Where there are more than two treatments it is essential to determine which treatment comparisons are important. Existing computerised algorithms for constructing suitable experimental designs deal solely with the case where there is an equal interest in all treatment comparisons and where all blocks are of the same size. Chapter 2 describes an algorithm without these limitations. It searches for treatment interchanges that improve a given design. In Chapter 3 this algorithm is extended to cover row- and-column designs. A further algorithm is required to combine component designs. One disadvantage of these algorithms is the invariance of the treatment replications once chosen. In Chapter 4 completely different algorithms without this disadvantage are developed. They are based on an exchange procedure and an interchange procedure.

Item Type: Thesis (Doctor of Philosophy (PhD))
DOI/Identification number: 10.22024/UniKent/01.02.94448
Additional information: This thesis has been digitised by EThOS, the British Library digitisation service, for purposes of preservation and dissemination. It was uploaded to KAR on 25 April 2022 in order to hold its content and record within University of Kent systems. It is available Open Access using a Creative Commons Attribution, Non-commercial, No Derivatives ( licence so that the thesis and its author, can benefit from opportunities for increased readership and citation. This was done in line with University of Kent policies ( If you feel that your rights are compromised by open access to this thesis, or if you would like more information about its availability, please contact us at and we will seriously consider your claim under the terms of our Take-Down Policy (
Uncontrolled keywords: computer programming, experiments, statistics
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
SWORD Depositor: SWORD Copy
Depositing User: SWORD Copy
Date Deposited: 07 Feb 2023 17:00 UTC
Last Modified: 21 Feb 2023 12:57 UTC
Resource URI: (The current URI for this page, for reference purposes)

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