<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The presented study focuses on a confrontation of the theory of regression models and theory of experiment with the real situation of determining properties of magnetic (nano)materials. Their magnetic properties can be deduced by measuring their magnetization, being the fundamental magnetic quantity of an arbitrary (nano)material. The results of the magnetization measurements determine the unknown parameters of a known nonlinear function that characterizes the (nano)material under investigation. Knowledge of the values of the uknkown parameters enables to decide whether the (nano)material is suitable or not for a particular application. Thus, in this work, we present a possible approach how to estimate the unknown parameters of the nonlinear function by the regression models, taking into account a relevant linearization criterion. Then, we suggest an appropriate design for the measurement to get better estimators of the parameters.</p></abstract>

The presented study focuses on a confrontation of the theory of regression models and theory of experiment with the real situation of determining properties of magnetic (nano)materials. Their magnetic properties can be deduced by measuring their magnetization, being the fundamental magnetic quantity of an arbitrary (nano)material. The results of the magnetization measurements determine the unknown parameters of a known nonlinear function that characterizes the (nano)material under investigation. Knowledge of the values of the uknkown parameters enables to decide whether the (nano)material is suitable or not for a particular application. Thus, in this work, we present a possible approach how to estimate the unknown parameters of the nonlinear function by the regression models, taking into account a relevant linearization criterion. Then, we suggest an appropriate design for the measurement to get better estimators of the parameters.

Design of Experiment for Measurement of Langevin Function

Department of Geoinformatics, Faculty of Science, Palacký University in Olomouc

Department of Mathematical Analysis and Applied Mathematics, Faculty of Science, Palacký University in Olomouc

Regional Centre of Advanced Technologies and Materials, Department of Experimental Physics, Faculty of Science, Palacký University in Olomouc

Measurement Science Review

{"article-title":"Design of Experiment for Measurement of Langevin Function"}

The presented study focuses on a confrontation of the theory of regression models and theory of experiment with the real situation of determining properties of...

Design of Experiment for Measurement of Langevin Function

Published Online: Aug 13, 2012

Page range: 121 - 127

DOI: https://doi.org/10.2478/v10048-012-0019-4

Keywords
Approximation, nonlinear regression models, linearization, BLUE, D-optimal design of experiment, nanomaterial, hysteresis loop, Langevin function

This content is open access.

Design of Experiment for Measurement of Langevin Function

Published Online: Aug 13, 2012

Page range: 121 - 127

DOI: https://doi.org/10.2478/v10048-012-0019-4

KeywordsApproximation, nonlinear regression models, linearization, BLUE, D-optimal design of experiment, nanomaterial, hysteresis loop, Langevin function

This content is open access.

Keywords
Approximation, nonlinear regression models, linearization, BLUE, D-optimal design of experiment, nanomaterial, hysteresis loop, Langevin function