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Multivariate Curve Resolution (MCR)

March 3, 2021

The recorded version of this course is now available in our EigenU Recorded Courses area.

Eigenvector Research, Inc. is pleased to bring you Multivariate Curve Resolution (MCR), an online instructor-led live short course. Complete information about the course can be found by following the links below.

Course Description

Multivariate Curve Resolution (MCR) methods include a number of techniques designed to extract the underlying response profiles (e.g. pure component spectra, concentration time profiles) from spectroscopic mixture data. Also known as Self-Modeling Mixture Analysis (SMMA), these semi-quantitative methods are used to resolve mixtures into physically meaningful components. Unlike typical quantification methods, MCR attempts to determine the composition of the mixtures without, or with incomplete prior knowledge of the components of the system or their response in the variables (i.e. “pure-component spectra”).

This course discusses the relationship of MCR to Classical Least Squares (CLS) and Principal Component Analysis (PCA) and covers a number of MCR methods. Central to this course’s objectives are an understanding of the challenges in MCR and how the different MCR approaches can be applied depending on the information that is known about the system under study. Hands-on exercises will be done using PLS_Toolbox/Solo.


Linear Algebra for Chemometricians, Chemometrics I — PCA, Chemometrics II – Regression and PLS, and Classical Least Square (CLS) Methods, or equivalent experience.

Course Outline

  1. Introduction to Curve Resolution and Self-Modeling Mixture Analysis
  2. Evolving Factor Analysis / Evolving Window Factor Analysis
  3. Geometric Based Approaches:Purity
  4. Alternating Least Squares for MCR
  5. Constraints
  6. Handling Interferents
  7. Other Curve Resolution Methods
  8. Conclusions

Course Fee

Prices include instruction, course materials (provided in advance in .pdf format), a certificate of completion and access to the recorded class sessions. Prices shown are shown below. Payment must be received by 5pm PST, Monday, March 1, 2021.

Linear Algebra for Chemometricians

Note: Payment must be received by 5pm PST, Monday, March 1, 2021. Credit card orders are strongly encouraged. Acceptable forms of payment include MasterCard, VISA, American Express, and checks drawn on a US bank. Wire transfers can also be arranged.

Academic discount: University students and faculty are eligible for the academic rate. Verification of University affiliation is required by providing valid university mailing and e-mail address. Note that we define academic as “degree granting institution.”

How to Register, Deadlines and Cancellations

To register, login to your Eigenvector account, or create an account, then select the class you would like to attend under the “Purchase” tab. You can pay directly with your MasterCard, VISA or American Express using our secure credit card processing. You may ask to be invoiced, however, Payments must be received by 5pm PST, Monday, March 1, 2021.

Complete refunds will be made for cancellations prior to Friday, February 26, 2021. No refunds will be made for cancellations after that date, however, substitutions are gladly accepted.


Multivariate Curve Resolution (MCR) will be taught in a single session of 3.5 hours on Wednesday, March 3. The schedule will be as follows.

Daily Schedule, Pacific Standard Time (PDT)
06:45 – 07:00 WebEx available for login*
07:00 – 08:00 Instruction
08:00 – 08:10 Coffee Break
08:10 – 09:10 Instruction
09:10 – 09:20 Coffee Break
09:20 – 10:20 Instruction
10:20 – 10:30 Wrap-up and questions

* 7:00 am PST is 10:00am in New York, 15:00 in London and 16:00 in Paris.

Can’t make it at this time? The sessions will be recorded and made available to course participants for their use for one year after the event.