Journal ArticleDOI
Models for the Response of a Mixture
TLDR
In this article, the authors propose models constructed from functions homogeneous of degree one which overcome these difficulties, yet leave a wide choice of models, leaving a wide range of models for a mixture system.Abstract:
SUMMARY Care needs to be exercised in the choice of model for a mixture system. The polynomial model, for example, cannot satisfactorily account for components which are inert or have additive effects and its coefficients lose their interpretative value when the variables are the proportions of components in the mixture. This paper proposes models constructed from functions homogeneous of degree one which overcome these difficulties, yet leave a wide choice of models.read more
Citations
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Journal ArticleDOI
Log contrast models for experiments with mixtures
John Aitchison,John Bacon-Shone +1 more
TL;DR: In this article, a new form of expected response function involving log contrasts of the proportions is introduced for experiments with mixtures, and the advantages and disadvantages of log contrast models are discussed and illustrated in applications.
Journal ArticleDOI
The statistical analysis of geochemical compositions
TL;DR: The analysis and interpretation of compositional data, such as major oxide compositions of rocks, has been traditionally plagued by the so-called constant-sum or closure problem as mentioned in this paper, which has led to the lack of a satisfactory, interpretable covariance structure and of rich, tractable, parametric classes of distributions on the simplex sample space.
Journal ArticleDOI
I-Optimal Design of Mixture Experiments
TL;DR: The authors provide a detailed overview of the literature on the I-optimal design of mixture experiments and identify several contradictions, and present continuous I-optimality designs for the second-order and the special cubic model.
Journal ArticleDOI
The Research and Motor octane numbers of Liquefied Petroleum Gas (LPG)
TL;DR: In this article, an experimental study of the Research (RON) and Motor (MON) octane numbers of Liquefied Petroleum Gas (LPG) mixtures is presented, using a method that is consistent with the currently active ASTM Research and Motor test methods for liquid fuels.
Journal ArticleDOI
Test Statistics for Mixture Models
TL;DR: In this article, the authors show that the common practice produces misleading reslllts for mixtures, and that the correct mixture statistics correspond to a physically consistent null hypothesis and are also consistent with the expression of the mixture model in the older “slack-variable” form.
References
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Book
The design and analysis of experiments.
TL;DR: In this article, Monterey describes a books design and analysis of experiments, and the pronouncement as without difficulty as perspicacity of this design and analyses of experiments montgomery can be taken as skillfully as picked to act.
Journal ArticleDOI
Use of the simplex design in the study of joint action of related hormones
TL;DR: The aim of the present paper is to show that the study of joint action by means of an appropriate experimental design-the simplex design allows ready interpretation of experimental data with no reference to a joint tolerance distribution, and no further assumptions than normally required in quantal analysis.
Journal ArticleDOI
The System Biphenyl-Bibenzyl-Naphthalene. Nearly Ideal Binary and Ternary Systems
H. Howard Lee,J. C. Warner +1 more
TL;DR: In this article, the freezing point-composition diagrams have been determined for the binary systems (I) biphenyl-bibenzyl, (11) biphexyl-naphthalene, and (111) bibenzylon naphthalenes, and for the ternary system (BnN) biphemyl-bi-enzyl and naphalene.