Multivariate-Data-Analysis-CH5440

Assignments given in the course Multivariate Data Analysis for Process Modelling, Spring 2022. Following concepts were dealt with:

Assignment-1:

  • Bivariable OLS, TLS, WTLS: analysis of the methods and their applications, including, CVAT and property comparison.

Assignment-2:

  • Multilinear regression:
    • Residual analysis
    • Stepwise regression
  • Nonlinear regression (least squares curve fitting - lsqnonlin() in MATLAB)
  • Simple PCA - constraint estimation and data compression. % variance explained;

Assignment-3:

  • Model identification using PCA:
    • scaled PCA
    • IPCA
    • Leave One Out Cross Validation
  • Multivariate Calibration Model:
    • unscaled/scaled PCR
    • IPCR
    • MLPCR