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Distribution-free methods in experimental design

Thesis (DSc (Agric))--University of Pretoria, 1966.

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Other Authors: Haylett, D.G.
Format: Thesis
Language:English
Published: University of Pretoria 2024
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access_status_str Open Access
author2 Haylett, D.G.
author_browse Haylett, D.G.
author_facet Haylett, D.G.
collection Thesis
dc_rights_str_mv © 2024 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
description Thesis (DSc (Agric))--University of Pretoria, 1966.
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institution University of Pretoria (South Africa)
language English
last_indexed 2026-06-10T12:36:50.456Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2024
publishDateRange 2024
publishDateSort 2024
publisher University of Pretoria
publisherStr University of Pretoria
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source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/99470 Distribution-free methods in experimental design Haylett, D.G. Stoker, D.J. Reinach, Stephanus Gustav Experimental design UCTD Thesis (DSc (Agric))--University of Pretoria, 1966. The purpose of the work presented was firstly to develop distribution-free methods of analysis and multiple comparison procedures for basic experimental designs where the treatments form multi-way classification, and secondly to present these to present these methods in such a wat that a research worker with an elementary knowledge of biometry would be able to apply these methods without much difficulty This thesis is divided into two parts Part I deals with the matter of test statistics and their exact distributions (under the null for different experimental designs as well as the investigation of the applicability of the tests based on these test statistics under an alternative hypothesis by means of simply studies; Part II deals with the application of the tests derived in Part l, tended to be conservative. did not reject the null hypothesis too soon) under different alternative hypotheses and due to this and certain theoretical considerations was concluded that these tests were applicable under the null as well as under an alternative hypothesis. Distribution-free tests were also developed for a factorial design, known as the single degree of freedom approach. The underlying theory and practical investigation led to the above-mentioned results, are given in Chapter III of this thesis. The theoretical development of test statistics and their distributions under the null hypothesis for the different components of a multi-way classification of treatments when the design was a balanced incomplete block design is presented in Chapter IV. Since a balanced incomplete block design, where the treatments consisted of more than one component, is very seldom used, the formulae are of little use in practice. They are, however, of theoretical interest since the formulae for a randomized block design are obtainable from them as a special case Agriculture DSc (Agric) 2024-11-27T09:15:56Z 2024-11-27T09:15:56Z 22/02/10 1966 Thesis http://hdl.handle.net/2263/99470 en © 2024 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria
spellingShingle Experimental design
UCTD
Distribution-free methods in experimental design
title Distribution-free methods in experimental design
title_full Distribution-free methods in experimental design
title_fullStr Distribution-free methods in experimental design
title_full_unstemmed Distribution-free methods in experimental design
title_short Distribution-free methods in experimental design
title_sort distribution free methods in experimental design
topic Experimental design
UCTD
url http://hdl.handle.net/2263/99470