# Multivariate analysis Definition and 45 Threads

Multivariate statistics is a subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable.
Multivariate statistics concerns understanding the different aims and background of each of the different forms of multivariate analysis, and how they relate to each other. The practical application of multivariate statistics to a particular problem may involve several types of univariate and multivariate analyses in order to understand the relationships between variables and their relevance to the problem being studied.
In addition, multivariate statistics is concerned with multivariate probability distributions, in terms of both

how these can be used to represent the distributions of observed data;
how they can be used as part of statistical inference, particularly where several different quantities are of interest to the same analysis.Certain types of problems involving multivariate data, for example simple linear regression and multiple regression, are not usually considered to be special cases of multivariate statistics because the analysis is dealt with by considering the (univariate) conditional distribution of a single outcome variable given the other variables.

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1. ### Applied Multivariate Analysis (NPTEL):- Prologue

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2. ### Applied Multivariate Analysis (NPTEL):- Lecture 1: Basic concepts on multivariate distribution - 1

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3. ### Applied Multivariate Analysis (NPTEL):- Lecture 2: Basic concepts on multivariate distribution - 2

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4. ### Applied Multivariate Analysis (NPTEL):- Lecture 3: Multivariate normal distribution - 1

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5. ### Applied Multivariate Analysis (NPTEL):- Lecture 4: Multivariate normal distribution - 2

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6. ### Applied Multivariate Analysis (NPTEL):- Lecture 5: Multivariate normal distribution - 3

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7. ### Applied Multivariate Analysis (NPTEL):- Lecture 6: Some problems on multivariate distributions - 1

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8. ### Applied Multivariate Analysis (NPTEL):- Lecture 7: Some problems on multivariate distributions - 2

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9. ### Applied Multivariate Analysis (NPTEL):- Lecture 8: Random sampling from multivariate normal distribution and Wishart distribution - 1

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10. ### Applied Multivariate Analysis (NPTEL):- Lecture 9: Random sampling from multivariate normal distribution and Wishart distribution - 2

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
11. ### Applied Multivariate Analysis (NPTEL):- Lecture 10: Random sampling from multivariate normal distribution and Wishart distribution - 3

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
12. ### Applied Multivariate Analysis (NPTEL):- Lecture 11: Wishart distribution and it's properties - 1

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13. ### Applied Multivariate Analysis (NPTEL):- Lecture 12: Wishart distribution and it's properties- 2

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14. ### Applied Multivariate Analysis (NPTEL):- Lecture 13: Hotelling's T2 distribution and it's applications

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15. ### Applied Multivariate Analysis (NPTEL):- Lecture 14: Hotelling's T2 distribution and various confidence intervals and regions

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16. ### Applied Multivariate Analysis (NPTEL):- Lecture 15: Hotelling's T2 distribution and Profile analysis

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17. ### Applied Multivariate Analysis (NPTEL):- Lecture 16: Profile analysis - 1

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18. ### Applied Multivariate Analysis (NPTEL):- Lecture 17: Profile analysis - 2

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19. ### Applied Multivariate Analysis (NPTEL):- Lecture 18: MANOVA - 1

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20. ### Applied Multivariate Analysis (NPTEL):- Lecture 19: MANOVA - 2

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21. ### Applied Multivariate Analysis (NPTEL):- Lecture 20: MANOVA - 3

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22. ### Applied Multivariate Analysis (NPTEL):- Lecture 21: MANOVA & Multiple correlation coefficient

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23. ### Applied Multivariate Analysis (NPTEL):- Lecture 22: Multiple correlation coefficient

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24. ### Applied Multivariate Analysis (NPTEL):- Lecture 23: Principal component analysis

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25. ### Applied Multivariate Analysis (NPTEL):- Lecture 24: Principal component analysis

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26. ### Applied Multivariate Analysis (NPTEL):- Lecture 25: Principal component analysis

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27. ### Applied Multivariate Analysis (NPTEL):- Lecture 26: Cluster Analysis - 1

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28. ### Applied Multivariate Analysis (NPTEL):- Lecture 27: Cluster Analysis - 2

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29. ### Applied Multivariate Analysis (NPTEL):- Lecture 28: Cluster Analysis - 3

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
30. ### Applied Multivariate Analysis (NPTEL):- Lecture 29: Cluster Analysis - 4

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
31. ### Applied Multivariate Analysis (NPTEL):- Lecture 30: Discriminant analysis and classification - 1

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
32. ### Applied Multivariate Analysis (NPTEL):- Lecture 31: Discriminant Analysis and Classification - 2

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
33. ### Applied Multivariate Analysis (NPTEL):- Lecture 32: Discriminant Analysis and Classification - 3

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
34. ### Applied Multivariate Analysis (NPTEL):- Lecture 33: Discriminant Analysis and Classification - 4

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
35. ### Applied Multivariate Analysis (NPTEL):- Lecture 34: Discriminant Analysis and Classification - 5

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
36. ### Applied Multivariate Analysis (NPTEL):- Lecture 35: Discriminant Analysis and classification - 6

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
37. ### Applied Multivariate Analysis (NPTEL):- Lecture 36: Discriminant Analysis and Classification - 7

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
38. ### Applied Multivariate Analysis (NPTEL):- Lecture 37: Factor Analysis - 1

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
39. ### Applied Multivariate Analysis (NPTEL):- Lecture 38: Factor Analysis - 2

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
40. ### Applied Multivariate Analysis (NPTEL):- Lecture 39: Factor Analysis - 3

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
41. ### Applied Multivariate Analysis (NPTEL):- Lecture 40: Canonical Correlation Analysis - 1

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
42. ### Applied Multivariate Analysis (NPTEL):- Lecture 41: Canonical Correlation Analysis - 2

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
43. ### Applied Multivariate Analysis (NPTEL):- Lecture 42: Canonical Correlation Analysis - 3

COPYRIGHT reserved to Dr. Amit Mitra, Dr. Sharmishtha Mitra and NPTEL, Govt. of India. Duplication is a punishable offence. Lectures: http://www.nptel.ac.in/courses/111104024/ Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=111104024
44. ### Applied Multivariate Analysis (NPTEL):- Lecture 43: Canonical Correlation Analysis - 4

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45. ### Please suggest books on multivariate analysis

Please suggest, book on 'Partial Least Square.'