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Evolving Factor Analysis

Evolving Factor Analysis.

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Evolving Factor Analysis

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  1. Evolving Factor Analysis The evolution of a chemical system is gradually known by recording a new response vector at each stage of the process under study. EFA performs subsequent PCA on gradually increasing submatrices in the process direction, enlarged by adding one new row at a time. This procedure is performed from top to bottom of the data set (forward EFA) and from bottom to top (backward EFA) to investigate the emergence and the decay of the process contribution, respectively. The forward and backward EFA plots are built by representating the singular values of each PCA analysis vs. the process variable related to the last row included in the window analyzd.

  2. Singular values (0-2 sec) 1.4327 0.0024

  3. Singular values (0-4 sec) 2.2664 0.0083 0.0000

  4. Singular values (0-6 sec) 3.2730 0.0231 0.0000 0.0000

  5. Singular values (0-8 sec) 4.4044 0.0563 0.0001 0.0000

  6. Singular values (0-10 sec) 5.5834 0.1245 0.0004 0.0000

  7. Singular values (0-12 sec) 6.7299 0.2517 0.0012 0.0000

  8. Singular values (0-14 sec) 7.7864 0.4668 0.0036 0.0000

  9. Singular values (0-16 sec) 8.7323 0.7956 0.0099 0.0000

  10. Singular values (0-18 sec) 9.5808 1.2484 0.0244 0.0000

  11. Singular values (0-20 sec) 10.3637 1.8119 0.0552 0.0000

  12. Singular values (0-22 sec) 11.1136 2.4512 0.1133 0.0000

  13. Singular values (0-24 sec) 11.8506 3.1232 0.2110 0.0000

  14. Singular values (0-26 sec) 12.5772 3.7923 0.3561 0.0000

  15. Singular values (0-28 sec) 13.2808 4.4360 0.5455 0.0000

  16. Singular values (0-30 sec) 13.9413 5.0402 0.7623 0.0000

  17. Singular values (0-32 sec) 14.5360 5.5893 0.9812 0.0000

  18. Singular values (0-34 sec) 15.0430 6.0633 1.1776 0.0000

  19. Singular values (0- 36 sec) 15.4449 6.4435 1.3359 0.0000

  20. Singular values (0- 38 sec) 15.7348 6.7216 1.4512 0.0000

  21. Singular values (0- 40 sec) 15.9215 6.9040 1.5268 0.0000

  22. Singular values (0- 42 sec) 16.0273 7.0098 1.5713 0.0000

  23. Singular values (0- 44 sec) 16.0794 7.0634 1.5942 0.0000

  24. Singular values (0- 46 sec) 16.1015 7.0868 1.6044 0.0000

  25. Singular values (0-48 sec) 16.1096 7.0955 1.6083 0.0000

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