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Mixture models based on power means and generalised Q-fractions
Dissertation (MSc)--University of Pretoria, 2011.
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| Format: | Thesis |
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University of Pretoria
2013
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| _version_ | 1867613671269597184 |
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| access_status_str | Open Access |
| author2 | Coetzer, R.L.J. (Roelof) |
| author_browse | Coetzer, R.L.J. (Roelof) |
| author_facet | Coetzer, R.L.J. (Roelof) |
| collection | Thesis |
| dc_rights_str_mv | © 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. |
| description | Dissertation (MSc)--University of Pretoria, 2011. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/27481 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:39:51.199Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/27481 Mixture models based on power means and generalised Q-fractions Coetzer, R.L.J. (Roelof) Focke, Walter Wilhelm mia.ackermann@gmail.com Ackermann, Maria Helena Scheffé quadratic polynomial Mixture experiments Mixture models Experimental design Bootstrap Weighted power mean Wohl's q-fractions UCTD Dissertation (MSc)--University of Pretoria, 2011. Mixture 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. Chemical Engineering unrestricted 2013-09-07T11:38:27Z 2011-09-21 2013-09-07T11:38:27Z 2011-09-14 2011-09-21 2011-08-23 Dissertation Ackermann, 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 > C11/9/118/ag http://hdl.handle.net/2263/27481 http://upetd.up.ac.za/thesis/available/etd-08232011-123306/ © 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. application/pdf University of Pretoria |
| spellingShingle | Scheffé quadratic polynomial Mixture experiments Mixture models Experimental design Bootstrap Weighted power mean Wohl's q-fractions UCTD Mixture models based on power means and generalised Q-fractions |
| title | Mixture models based on power means and generalised Q-fractions |
| title_full | Mixture models based on power means and generalised Q-fractions |
| title_fullStr | Mixture models based on power means and generalised Q-fractions |
| title_full_unstemmed | Mixture models based on power means and generalised Q-fractions |
| title_short | Mixture models based on power means and generalised Q-fractions |
| title_sort | mixture models based on power means and generalised q fractions |
| topic | Scheffé quadratic polynomial Mixture experiments Mixture models Experimental design Bootstrap Weighted power mean Wohl's q-fractions UCTD |
| url | http://hdl.handle.net/2263/27481 http://upetd.up.ac.za/thesis/available/etd-08232011-123306/ |