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  • 1
    Electronic Resource
    Electronic Resource
    The use of the error-in-variables model in terpolymerization (1983)
    New York : Wiley-Blackwell
    Journal of Polymer Science: Polymer Chemistry Edition 21 (1983), S. 2003-2010 
    Details
    ISSN: 0360-6376
    Keywords: Physics ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The error-in-variables model (EVM) is a mathematical description of experiments in which there is error in all measured variables. This contrasts with ordinary least-squares methods in which it is assumed that error is only present in the dependent variable or variables. EVM leads to statistical procedures which are able to obtain more efficient estimates of unknown parameters from data with error in all the variables than can be obtained by using least-squares methods. One type of experiment to which EVM is applicable is the measurement of copolymer reactivity ratios. It has been applied recently to the binary case, but the only known method for estimating reactivity ratios in ternary systems is that of Rudin et al. which is based on ordinary least squares. The application of EVM to the problem is described in this article and the results are compared with those of Rudin et al.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pol.1983.170210711
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  • 2
    Electronic Resource
    Electronic Resource
    Revisiting the design of experiments for copolymer reactivity ratio estimation (1993)
    Bognor Regis [u.a.] : Wiley-Blackwell
    Journal of Polymer Science Part A: Polymer Chemistry 31 (1993), S. 3065-3072 
    Details
    ISSN: 0887-624X
    Keywords: reactivity ratio estimation ; terminal model ; penultimate model ; copolymerization ; D-optimal design ; copolymer composition ; Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Tidwell and Mortimer used the D-optimal criterion to design terminal model reactivity ratio estimation experiments. In this paper, two problems are investigated which were not addressed by Tidwell and Mortimer. The first problem is the design of reactivity ratio estimation experiments subject to composition constraints. It is shown that all the key information contained in the D-optimal criterion can be summarized in two equations: one which is a function of r̂1, and one which in a function of r̂2. These two equations can be used to design reactivity ratio estimation experiments under composition constraints which are within 3 mol % of the D-optimal feed compositions. The second problem is the design of penultimate reactivity ratio estimation experiments. The D-optimal criterion for the penultimate model was derived and optimized for two existing systems as well as a large number of hypothetical systems. The D-optimal criterion for the penultimate model was found to be much more complicated than the terminal model criterion. For this reason, the optimal penultimate reactivity ratio estimation experiments can not be approximated by simple equations. Anyone interested in designing such experiments must derive and optimize the D-optimal criterion. © 1993 John Wiley & Sons, Inc.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pola.1993.080311222
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  • 3
    Electronic Resource
    Electronic Resource
    An experimental verification of statistical discrimination between the terminal and penultimate copolymerization models (1996)
    Bognor Regis [u.a.] : Wiley-Blackwell
    Journal of Polymer Science Part A: Polymer Chemistry 34 (1996), S. 2665-2678 
    Details
    ISSN: 0887-624X
    Keywords: model discrimination ; copolymerization ; experimental verification ; Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In this article, the modified Buzzi-Ferraris model discrimination method was used to design experiments to discriminate between the terminal and penultimate models for styrene methyl methacrylate (STY/MMA) copolymerization. The measured variables were 13C-NMR peak areas. The peak area assignments of Aerdts8 were used. After nine experiments, the terminal model was picked over the penultimate model at 99.99% confidence. More importantly, the experimental data showed that computer simulated data used in previous studies were realistic, and the conclusions drawn from the simulation studies were valid. This experimental verification continues to show that the use of statistical model discrimination techniques can improve our ability to discriminate between competing copolymerization models. © 1996 John Wiley & Sons, Inc.
    Additional Material: 16 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Monte Carlo estimation of kinetic parameters in polymerization reactions (1988)
    Bognor Regis [u.a.] : Wiley-Blackwell
    Journal of Polymer Science Part A: Polymer Chemistry 26 (1988), S. 965-971 
    Details
    ISSN: 0887-624X
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A general method for estimating kinetic parameters in polymerization reactions using Monte Carlo simulation to represent the models of the reactions is developed. From a statistical point of view, the procedure is a Bayesian one in which a posterior probability density surface (PPDS) is calculated for points on a grid in the parameter space. A smoothing function is fitted to the PPDS, then a posterior probability region, which is similar to a confidence region, is calculated for the parameters. An application to a relatively trivial example, the Mayo-Lewis copolymerization model is shown in detail. Many other potential applications are suggested.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pola.1988.080260401
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  • 5
    Electronic Resource
    Electronic Resource
    Case studies and literature review on the estimation of copolymerization reactivity ratios (1998)
    Bognor Regis [u.a.] : Wiley-Blackwell
    Journal of Polymer Science Part A: Polymer Chemistry 36 (1998), S. 813-822 
    Details
    ISSN: 0887-624X
    Keywords: copolymerization reactivity ratios ; RREVM ; Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The enhanced features of a computer program (RREVM) for the estimation of copolymerization reactivity ratios using statistically sound techniques are illustrated with experimental and simulated case studies. In parallel, a literature review is given on the estimation of reactivity ratios. Both aspects are extensions based on the articles by Dube et al.1 and Rossignoli and Duever.2 © 1998 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 36: 813-822, 1998
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 6
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    Investigations on Azeotropy in Multicomponent Polymerizations (2010)
    Wiley
    Details
    Publication Date: 2010-10-05
    Print ISSN: 0930-7516
    Electronic ISSN: 1521-4125
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Published by Wiley
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