Mixture models based on power means and generalised Q-fractions

dc.contributor.advisorCoetzer, R.L.J. (Roelof)en
dc.contributor.advisorFocke, Walter Wilhelmen
dc.contributor.emailmia.ackermann@gmail.comen
dc.contributor.postgraduateAckermann, Maria Helenaen
dc.date.accessioned2013-09-07T11:38:27Z
dc.date.available2011-09-21en
dc.date.available2013-09-07T11:38:27Z
dc.date.created2011-09-14en
dc.date.issued2011-09-21en
dc.date.submitted2011-08-23en
dc.descriptionDissertation (MSc)--University of Pretoria, 2011.en
dc.description.abstractMixture experiments are widely applied. The Scheffé quadratic polynomial is the most popular mixture model in industry due to its simplicity, but it fails to accurately describe the behaviour of response variables that deviate greatly from linear blending. Higherorder Scheffé polynomials do possess the ability to predict such behaviour but become increasingly more complex to use and the number of estimable parameters grow exponentially [15]. A parameter-parsimonious mixture model, developed from the linear blending rule with weighted power means and Wohl's Q-fractions, is introduced. Bootstrap is employed to analyse the model statistically. The model is proved to be flexible enough to model non-linear deviations from linear blending without losing the simplicity of the linear blending rule.en
dc.description.availabilityunrestricteden
dc.description.departmentChemical Engineeringen
dc.identifier.citationAckermann, MH 2011, Mixture models based on power means and generalised Q-fractions, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/27481 >en
dc.identifier.otherC11/9/118/agen
dc.identifier.upetdurlhttp://upetd.up.ac.za/thesis/available/etd-08232011-123306/en
dc.identifier.urihttp://hdl.handle.net/2263/27481
dc.language.isoen
dc.publisherUniversity of Pretoriaen_ZA
dc.rights© 2011 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.en
dc.subjectScheffé quadratic polynomialen
dc.subjectMixture experimentsen
dc.subjectMixture modelsen
dc.subjectExperimental designen
dc.subjectBootstrapen
dc.subjectWeighted power meanen
dc.subjectWohl's q-fractionsen
dc.subjectUCTDen_US
dc.titleMixture models based on power means and generalised Q-fractionsen
dc.typeDissertationen

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