Adaptable Multivariate Calibration Models for Spectral Applications

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Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Adaptable Multivariate Calibration Models for Spectral Applications by :

Download or read book Adaptable Multivariate Calibration Models for Spectral Applications written by and published by . This book was released on 1999 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate calibration techniques have been used in a wide variety of spectroscopic situations. In many of these situations spectral variation can be partitioned into meaningful classes. For example, suppose that multiple spectra are obtained from each of a number of different objects wherein the level of the analyte of interest varies within each object over time. In such situations the total spectral variation observed across all measurements has two distinct general sources of variation: intra-object and inter-object. One might want to develop a global multivariate calibration model that predicts the analyte of interest accurately both within and across objects, including new objects not involved in developing the calibration model. However, this goal might be hard to realize if the inter-object spectral variation is complex and difficult to model. If the intra-object spectral variation is consistent across objects, an effective alternative approach might be to develop a generic intra-object model that can be adapted to each object separately. This paper contains recommendations for experimental protocols and data analysis in such situations. The approach is illustrated with an example involving the noninvasive measurement of glucose using near-infrared reflectance spectroscopy. Extensions to calibration maintenance and calibration transfer are discussed.

Introduction to Multivariate Calibration

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Publisher : Springer Nature
ISBN 13 : 3031641442
Total Pages : 309 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Introduction to Multivariate Calibration by : Alejandro C. Olivieri

Download or read book Introduction to Multivariate Calibration written by Alejandro C. Olivieri and published by Springer Nature. This book was released on with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multivariate Calibration

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Publisher : John Wiley & Sons
ISBN 13 : 9780471930471
Total Pages : 444 pages
Book Rating : 4.9/5 (34 download)

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Book Synopsis Multivariate Calibration by : Harald Martens

Download or read book Multivariate Calibration written by Harald Martens and published by John Wiley & Sons. This book was released on 1992-08-07 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Calibration Harald Martens, Chemist, Norwegian Food Research Institute, Aas, Norway and Norwegian Computing Center, Oslo, Norway Tormod Næs, Statistician, Norwegian Food Research Institute, Aas, Norway The aim of this inter-disciplinary book is to present an up-to-date view of multivariate calibration of analytical instruments, for use in research, development and routine laboratory and process operation. The book is intended to show practitioners in chemistry and technology how to extract the quantitative and understandable information embedded in non-selective, overwhelming and apparently useless measurements by multivariate data analysis. Multivariate calibration is the process of learning how to combine data from several channels, in order to overcome selectivity problems, gain new insight and allow automatic outlier detection. Multivariate calibration is the basis for the present success of high-speed Near-Infrared (NIR) diffuse spectroscopy of intact samples. But the technique is very general: it has shown similar advantages in, for instance, UV, Vis, and IR spectrophotometry, (transmittance, reflectance and fluorescence), for x-ray diffraction, NMR, MS, thermal analysis, chromatography (GC, HPLC) and for electrophoresis and image analysis (tomography, microscopy), as well as other techniques. The book is written at two levels: the main level is structured as a tutorial on the practical use of multivariate calibration techniques. It is intended for university courses and self-study for chemists and technologists, giving one complete and versatile approach, based mainly on data compression methodology in self-modelling PLS regression, with considerations of experimental design, data pre-processing and model validation. A second, more methodological, level is intended for statisticians and specialists in chemometrics. It compares several alternative calibration methods, validation approaches and ways to optimize the models. The book also outlines some cognitive changes needed in analytical chemistry, and suggests ways to overcome some communication problems between statistics and chemistry and technology.

Applications of Multivariate Calibration Models and Factor Analysis to Spectroscopic Data

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (594 download)

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Book Synopsis Applications of Multivariate Calibration Models and Factor Analysis to Spectroscopic Data by : Louise Jennifer Rogers

Download or read book Applications of Multivariate Calibration Models and Factor Analysis to Spectroscopic Data written by Louise Jennifer Rogers and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Multivariate Calibration

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Publisher : Springer
ISBN 13 : 9783031641435
Total Pages : 0 pages
Book Rating : 4.6/5 (414 download)

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Book Synopsis Introduction to Multivariate Calibration by : Alejandro C. Olivieri

Download or read book Introduction to Multivariate Calibration written by Alejandro C. Olivieri and published by Springer. This book was released on 2024-09-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several new sections that provide even more in-depth knowledge on the topics. New content on the classical least-squares model, which shows its advantages and limitations in greater detail, was added. Additionally, the book contains a new section on the inverse least-squares model, which explains how it differs from the classical model and its applications in chemometrics. Furthermore, a new chapter on principal component analysis, which covers the concept in greater detail and its applications in chemometrics, is added. This book also includes several real-world examples to help you better understand the topic. Overall, this book provides the reader with even more comprehensive knowledge on chemometrics and multivariate calibration, making it an essential resource for students and professionals alike.

Robust Multivariate Calibration Models in Vibrational Spectroscopic Applications

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Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.:/5 (247 download)

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Book Synopsis Robust Multivariate Calibration Models in Vibrational Spectroscopic Applications by : Hendrik Swierenga

Download or read book Robust Multivariate Calibration Models in Vibrational Spectroscopic Applications written by Hendrik Swierenga and published by . This book was released on 2000 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multivariate Calibration Applied to the Quantitative Analysis of Infrared Spectra

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Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Multivariate Calibration Applied to the Quantitative Analysis of Infrared Spectra by :

Download or read book Multivariate Calibration Applied to the Quantitative Analysis of Infrared Spectra written by and published by . This book was released on 1991 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate calibration methods are very useful for improving the precision, accuracy, and reliability of quantitative spectral analyses. Spectroscopists can more effectively use these sophisticated statistical tools if they have a qualitative understanding of the techniques involved. A qualitative picture of the factor analysis multivariate calibration methods of partial least squares (PLS) and principal component regression (PCR) is presented using infrared calibrations based upon spectra of phosphosilicate glass thin films on silicon wafers. Comparisons of the relative prediction abilities of four different multivariate calibration methods are given based on Monte Carlo simulations of spectral calibration and prediction data. The success of multivariate spectral calibrations is demonstrated for several quantitative infrared studies. The infrared absorption and emission spectra of thin-film dielectrics used in the manufacture of microelectronic devices demonstrate rapid, nondestructive at-line and in-situ analyses using PLS calibrations. Finally, the application of multivariate spectral calibrations to reagentless analysis of blood is presented. We have found that the determination of glucose in whole blood taken from diabetics can be precisely monitored from the PLS calibration of either mind- or near-infrared spectra of the blood. Progress toward the non-invasive determination of glucose levels in diabetics is an ultimate goal of this research. 13 refs., 4 figs.

Spectral Signal Correction for Multivariate Calibration

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ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Spectral Signal Correction for Multivariate Calibration by : Stephen T. Sum

Download or read book Spectral Signal Correction for Multivariate Calibration written by Stephen T. Sum and published by . This book was released on 1998 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multivariate Calibration Methods for Spectroscopy

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (127 download)

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Book Synopsis Multivariate Calibration Methods for Spectroscopy by : Richard John Lawrence

Download or read book Multivariate Calibration Methods for Spectroscopy written by Richard John Lawrence and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A User-friendly Guide to Multivariate Calibration and Classification

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Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (878 download)

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Book Synopsis A User-friendly Guide to Multivariate Calibration and Classification by : Tormod Naes

Download or read book A User-friendly Guide to Multivariate Calibration and Classification written by Tormod Naes and published by . This book was released on 2002 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Synthetic Multivariate Models to Accommodate Unmodeled Interfering Components During Quantitative Spectral Analyses

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ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Synthetic Multivariate Models to Accommodate Unmodeled Interfering Components During Quantitative Spectral Analyses by :

Download or read book Synthetic Multivariate Models to Accommodate Unmodeled Interfering Components During Quantitative Spectral Analyses written by and published by . This book was released on 1999 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis precision of any multivariate calibration method will be severely degraded if unmodeled sources of spectral variation are present in the unknown sample spectra. This paper describes a synthetic method for correcting for the errors generated by the presence of unmodeled components or other sources of unmodeled spectral variation. If the spectral shape of the unmodeled component can be obtained and mathematically added to the original calibration spectra, then a new synthetic multivariate calibration model can be generated to accommodate the presence of the unmodeled source of spectral variation. This new method is demonstrated for the presence of unmodeled temperature variations in the unknown sample spectra of dilute aqueous solutions of urea, creatinine, and NaCl. When constant-temperature PLS models are applied to spectra of samples of variable temperature, the standard errors of prediction (SEP) are approximately an order of magnitude higher than that of the original cross-validated SEPs of the constant-temperature partial least squares models. Synthetic models using the classical least squares estimates of temperature from pure water or variable-temperature mixture sample spectra reduce the errors significantly for the variable temperature samples. Spectrometer drift adds additional error to the analyte determinations, but a method is demonstrated that can minimize the effect of drift on prediction errors through the measurement of the spectra of a small subset of samples during both calibration and prediction. In addition, sample temperature can be predicted with high precision with this new synthetic model without the need to recalibrate using actual variable-temperature sample data. The synthetic methods eliminate the need for expensive generation of new calibration samples and collection of their spectra. The methods are quite general and can be applied using any known source of spectral variation and can be used with any multivariate calibration method.

Multi-Window Classical Least Squares Multivariate Calibration Methods for Quantitative ICP-AES Analyses

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Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Multi-Window Classical Least Squares Multivariate Calibration Methods for Quantitative ICP-AES Analyses by :

Download or read book Multi-Window Classical Least Squares Multivariate Calibration Methods for Quantitative ICP-AES Analyses written by and published by . This book was released on 1999 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of inductively coupled plasma-atomic emission spectrometers (ICP-AES) equipped with charge-coupled-device (CCD) detector arrays allows the application of multivariate calibration methods to the quantitative analysis of spectral data. We have applied classical least squares (CLS) methods to the analysis of a variety of samples containing up to 12 elements plus an internal standard. The elements included in the calibration models were Ag, Al, As, Au, Cd, Cr, Cu, Fe, Ni, Pb, Pd, and Se. By performing the CLS analysis separately in each of 46 spectral windows and by pooling the CLS concentration results for each element in all windows in a statistically efficient manner, we have been able to significantly improve the accuracy and precision of the ICP-AES analyses relative to the univariate and single-window multivariate methods supplied with the spectrometer. This new multi-window CLS (MWCLS) approach simplifies the analyses by providing a single concentration determination for each element from all spectral windows. Thus, the analyst does not have to perform the tedious task of reviewing the results from each window in an attempt to decide the correct value among discrepant analyses in one or more windows for each element. Furthermore, it is not necessary to construct a spectral correction model for each window prior to calibration and analysis: When one or more interfering elements was present, the new MWCLS method was able to reduce prediction errors for a selected analyte by more than 2 orders of magnitude compared to the worst case single-window multivariate and univariate predictions. The MWCLS detection limits in the presence of multiple interferences are 15 rig/g (i.e., 15 ppb) or better for each element. In addition, errors with the new method are only slightly inflated when only a single target element is included in the calibration (i.e., knowledge of all other elements is excluded during calibration). The MWCLS method is found to be vastly superior to partial least squares (PLS) in this case of limited numbers of calibration samples.

Insights Into Multivariate Calibration Using Errors-in-variables Modeling

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ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (683 download)

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Book Synopsis Insights Into Multivariate Calibration Using Errors-in-variables Modeling by :

Download or read book Insights Into Multivariate Calibration Using Errors-in-variables Modeling written by and published by . This book was released on 1996 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: A {ital q}-vector of responses, y, is related to a {ital p}-vector of explanatory variables, x, through a causal linear model. In analytical chemistry, y and x might represent the spectrum and associated set of constituent concentrations of a multicomponent sample which are related through Beer's law. The model parameters are estimated during a calibration process in which both x and y are available for a number of observations (samples/specimens) which are collectively referred to as the calibration set. For new observations, the fitted calibration model is then used as the basis for predicting the unknown values of the new x's (concentrations) form the associated new y's (spectra) in the prediction set. This prediction procedure can be viewed as parameter estimation in an errors-in-variables (EIV) framework. In addition to providing a basis for simultaneous inference about the new x's, consideration of the EIV framework yields a number of insights relating to the design and execution of calibration studies. A particularly interesting result is that predictions of the new x's for individual samples can be improved by using seemingly unrelated information contained in the y's from the other members of the prediction set. Furthermore, motivated by this EIV analysis, this result can be extended beyond the causal modeling context to a broader range of applications of multivariate calibration which involve the use of principal components regression.

Chemometrics-based Spectroscopy for Pharmaceutical and Biomedical Analysis

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Publisher : Frontiers Media SA
ISBN 13 : 2889458458
Total Pages : 177 pages
Book Rating : 4.8/5 (894 download)

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Book Synopsis Chemometrics-based Spectroscopy for Pharmaceutical and Biomedical Analysis by : Hoang Vu Dang

Download or read book Chemometrics-based Spectroscopy for Pharmaceutical and Biomedical Analysis written by Hoang Vu Dang and published by Frontiers Media SA. This book was released on 2019-04-17 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemometrics is the application of mathematics and statistics to chemical data in order to design or select optimal experimental procedures, to provide maximum relevant information, and to obtain knowledge about systems under study. This chemical discipline has constantly developed to become a mature field of Analytical Chemistry after its inception in the 1970s. The utility and versatility of chemometric techniques enable spectroscopists to perform multidimensional classification and/or calibration of spectral data that make identification and quantification of analytes in complex mixtures possible.Wavelets are mathematical functions that cut up data into different frequency components, and then study each component with a resolution matched to its scale. They are now being adapted for a vast number of signal processing due to their unprecedented success in terms of asymptotic optimality, spatial adaptivity and computational efficiency. In analytical chemistry, they have increasingly shown great applicability and have been preferred over existing signal processing algorithms in noise removal, resolution enhancement, data compression and chemometrics modeling in chemical studies.The aim of this Research Topic is to present state-of-the-art applications of chemometrics, in the field of spectroscopy, with special attention to the use of wavelet transform. Both reviews and original research articles on pharmaceutical and biomedical analysis are welcome in the specialty section Analytical Chemistry.

Latent Variable Models with Applications to Spectral Data Analysis

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ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (823 download)

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Book Synopsis Latent Variable Models with Applications to Spectral Data Analysis by : Yi Fang

Download or read book Latent Variable Models with Applications to Spectral Data Analysis written by Yi Fang and published by . This book was released on 2006 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent technological advances in automatic data acquisition have created an ever increasing need to extract meaningful information from huge amount of data. Multivariate predictive models have become important statistical tools in solving modern engineering problems. The purpose of this thesis is to develop novel predictive methods based on latent variable models and validate these methods by applying them into spectral data analysis. In this thesis, hybrid models of principal components regression (PCR) and partial least squares regression (PLS) is proposed. The basic idea of hybrid models is to develop more accurate prediction techniques by combining the merits of PCR and PLS. In the hybrid models, both principal components in PCR and latent variables in PLS are involved in the common regression process. Another major contribution of this work is to propose the robust probabilistic multivariate calibration model (RPMC) to overcome the drawback of Gaussian assumption in most latent variable models. The RPMC was designed to be robust to outliers by adopting a Student-t distribution instead of the Gaussian distribution. An efficient Expectation-Maximization algorithm was derived for parameter estimation in the RPMC. It can also be shown that some popular latent variables such as probabilistic PCA (PPCA) and supervised probabilistic PCA (SPPCA) are special cases of the RPMC. Both the predictive models developed in this thesis were assessed on the real-life spectral data datasets. The hybrid models were applied into the shaft misalignment prediction problem and the RPMC are tested on the near-infrared (NIR) dataset. For the classification problem on the NIR data, the fusion of the regularized discriminant analysis (RDA) and principal components analysis (PCA) was also proposed. The experimental results have shown the effectiveness and efficiency of the proposed methods.

Localization Approaches for Predictive Models Based on Spectral Or Process Data with Diverse Applications

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Publisher :
ISBN 13 : 9780438241404
Total Pages : 230 pages
Book Rating : 4.2/5 (414 download)

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Book Synopsis Localization Approaches for Predictive Models Based on Spectral Or Process Data with Diverse Applications by : Dominic V. Poerio

Download or read book Localization Approaches for Predictive Models Based on Spectral Or Process Data with Diverse Applications written by Dominic V. Poerio and published by . This book was released on 2018 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemometrics is an interdisciplinary field aimed at extracting information from chemically relevant systems via data-driven means, primarily using the tools of modern statistical and machine learning theory. This dissertation concerns the development of novel methodology in the field of chemometrics for the advancement of numerous applications, including interpretation of spectral data, calibration transfer of multivariate regression models, and adaptive model building for predictions on dynamic systems. ☐ In most applications of data-driven modeling, a single model is built utilizing all of the available data. In chemical data, there are often localized portions of the data that are more or less informative for the specific task at hand. Numerous potential advantages are possible when modeling these local aspects of the data independently in an ensemble model, such as better prediction accuracy or enhanced model interpretation. The focus of this dissertation is the construction of such ensemble models. Two paradigms of local modeling are investigated in this work: time/wavelength-localized modeling and frequency-localized modeling. Utilizing these localization frameworks, we investigate novel methodology for diverse regression tasks. Chapter 1 of this dissertation serves to introduce the background and unifying theory of the concepts utilized throughout the remainder of the dissertation. ☐ In Chapter 2, a static modeling method under a wavelength-localized paradigm combining sparse partial least squares and stacked interval partial least squares is presented. The combination of variable selection and local model weighting permits a straightforward interpretation of the model regression vector when applied to spectral data. The proposed method also performs favorably, in terms of prediction error, when compared to other variable selection and model weighting methods. A number of experiments on the effects of outliers and measurement resolution are also undertaken. ☐ In Chapter 3, a static modeling method using frequency-localization via the discrete wavelet transform paired with orthogonal projection for the calibration transfer of regression models based on spectral data is described. We show that the proposed method is competitive with standard calibration transfer methods. Additional experiments show that the method is superior to standard methods when applying transferred models onto spectra from unseen instruments. ☐ In Chapter 4, a dynamic modeling method using frequency-localization via the undecimated wavelet transform paired with recursive partial least squares for the soft sensing of chemical processes is investigated. We show that the method greatly improves standard adaptive modeling by down-weighting noise that is present in the process variables. It is also shown that the improvement compared to the standard method is statistically significant irrespective of the memory used when updating the model. ☐ In Chapter 5, a dynamic modeling method using time-localization via a large number of overlapping models with memory attenuation for soft sensing of chemical processes is outlined. Covariance based variable selection is utilized on each local model to account for the presence of distinct states in the process data and to create diversity in the ensemble. Experiments conducted at various updating frequencies indicate that the method represents a statistical improvement in prediction error compared to the standard method, as well as the proposed method without variable selection. ☐ In Chapter 6, a dynamic modeling method using self-correction strategies to select local modeling regions and adjust model memory for improved soft sensing is developed. The method uses a regression based on a neural network hidden layer input to the recursive partial least squares algorithm. Additionally, a memory diverse ensemble paired with greedy weight updating is utilized to allow real-time model memory adjustment. We show that modeling is superior compared to other local soft sensors at statistically significant levels, and that the parameters allow enhanced data interpretation. ☐ In Chapter 7, the conclusions of the research are given, as well as numerous potential future directions.

A User-friendly Guide to Multivariate Calibration and Classification

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Author :
Publisher : Nir Publications
ISBN 13 : 9780952866626
Total Pages : 0 pages
Book Rating : 4.8/5 (666 download)

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Book Synopsis A User-friendly Guide to Multivariate Calibration and Classification by : Tormod Næs

Download or read book A User-friendly Guide to Multivariate Calibration and Classification written by Tormod Næs and published by Nir Publications. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: