# Applied Multivariate Statistical Modeling

- Institution: IIT Kharagpur
- Department: Mathematics
- Teacher: Prof. Jhareswar Maiti
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111105091)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111105091)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 01 : Introduction to Multivariate Statistical Modeling](https://invisiblenetwork.ai/learn/nptel/111105091/e7708ce54887) (Video)
2. [Lecture 02 : Introduction to Multivariate Statistical Modeling: Data types, models, and modeling](https://invisiblenetwork.ai/learn/nptel/111105091/a7eeaae00846) (Video)
3. [Lecture 03 : Statistical approaches to model building](https://invisiblenetwork.ai/learn/nptel/111105091/1c9f1d571108) (Video)
4. [Lecture 04 : Statistical approaches to model building (Contd)](https://invisiblenetwork.ai/learn/nptel/111105091/cbf2debb8fb2) (Video)
5. [Lecture 05 : Univariate Descriptive Statistics](https://invisiblenetwork.ai/learn/nptel/111105091/160aeddb2109) (Video)
6. [Lecture 06 : Univariate Descriptive Statistics (Contd)](https://invisiblenetwork.ai/learn/nptel/111105091/4a8646961966) (Video)
7. [Lecture 07 : Normal Distribution and Chi-squared Distribution](https://invisiblenetwork.ai/learn/nptel/111105091/bdeea11bbb4a) (Video)
8. [Lecture 08 : t-distribution, F-distribution, and Central Limit Theorem](https://invisiblenetwork.ai/learn/nptel/111105091/96aebe952b7f) (Video)
9. [Lecture 09 : Univariate inferential statistics: Estimation](https://invisiblenetwork.ai/learn/nptel/111105091/190ae3174d4b) (Video)
10. [Lecture 10 : Univariate Inferential Statistics: Estimation(Contd)](https://invisiblenetwork.ai/learn/nptel/111105091/40d2bc42cbb9) (Video)
11. [Lecture 11 : Univariate Inferential Statistics: Hypothesis Testing](https://invisiblenetwork.ai/learn/nptel/111105091/8dd0d3f713bf) (Video)
12. [Lecture 12 : Hypothesis Testing(contd): Decision Making Scenarios](https://invisiblenetwork.ai/learn/nptel/111105091/99a44048b7aa) (Video)
13. [Lecture 13 : Multivariate Descriptive Statistics: Mean Vector](https://invisiblenetwork.ai/learn/nptel/111105091/08f3e61b3868) (Video)
14. [Lecture 14 : Multivariate Descriptive Statistics: Covariance Matrix](https://invisiblenetwork.ai/learn/nptel/111105091/de2507c0743a) (Video)
15. [Lecture 15 : Multivariate Descriptive Statistics: Correlation Matrix](https://invisiblenetwork.ai/learn/nptel/111105091/6e721ee7022e) (Video)
16. [Lecture 16 : Multivariate Descriptive Statistics: Relationship between correlation](https://invisiblenetwork.ai/learn/nptel/111105091/8769c7723108) (Video)
17. [Lecture 17 : Multivariate Normal Distribution](https://invisiblenetwork.ai/learn/nptel/111105091/7541974493a5) (Video)
18. [Lecture 18 : Multivariate Normal Distribution(Contd)](https://invisiblenetwork.ai/learn/nptel/111105091/c505eca764d2) (Video)
19. [Lecture 19 : Multivariate Normal Distribution (Contd): Geometrical Interpretation](https://invisiblenetwork.ai/learn/nptel/111105091/3ee1a1c411b9) (Video)
20. [Lecture 20 : Multivariate Normal Distribution (Contd): Examining data for multivariate normal](https://invisiblenetwork.ai/learn/nptel/111105091/803a0601abba) (Video)
21. [Lecture 21 : Multivariate Inferential Statistics: Basics and Hotelling T - square statistic](https://invisiblenetwork.ai/learn/nptel/111105091/509271ee7590) (Video)
22. [Lecture 22 : Multivariate Inferential Statistics: Confidence Region](https://invisiblenetwork.ai/learn/nptel/111105091/e8a1b118e08f) (Video)
23. [Lecture 23:Multivariate Inferential Statistics:Simultaneous confidence interval & Hypothesis testing](https://invisiblenetwork.ai/learn/nptel/111105091/3362478d9ab1) (Video)
24. [Lecture 24:Multivariate Inferential Statistics: Hypothesis testing for equality of two population](https://invisiblenetwork.ai/learn/nptel/111105091/e2eeb99b8956) (Video)
25. [Lecture 25 : Analysis of Variance (ANOVA)](https://invisiblenetwork.ai/learn/nptel/111105091/14c27ea7ecdd) (Video)
26. [Lecture 26 : Analysis of Variance (ANOVA): Decomposition of Total sum of squares](https://invisiblenetwork.ai/learn/nptel/111105091/5ada56eec626) (Video)
27. [Lecture 27 : Analysis of Variance (ANOVA): Estimation of Parameters and Model Adequacy tests](https://invisiblenetwork.ai/learn/nptel/111105091/74784da9f04e) (Video)
28. [Lecture 28 : Two-way and Three-way Analysis of Variance (ANOVA)](https://invisiblenetwork.ai/learn/nptel/111105091/1799d0e2b343) (Video)
29. [Lecture 29 : Tutorial ANOVA](https://invisiblenetwork.ai/learn/nptel/111105091/88bd14e09709) (Video)
30. [Lecture 30 : Tutorial ANOVA (Contd)](https://invisiblenetwork.ai/learn/nptel/111105091/29b6fd66b4df) (Video)
31. [Lecture 31: Multivariate Analysis of Variance (MANOVA): Conceptual Model](https://invisiblenetwork.ai/learn/nptel/111105091/3ce06863e842) (Video)
32. [Lecture 32: Multivariate Analysis of Variance (MANOVA): (SSCP)](https://invisiblenetwork.ai/learn/nptel/111105091/b1e5466e9b77) (Video)
33. [Lecture 33: Multivariate Analysis of Variance (MANOVA): (SSCP)(contd.)](https://invisiblenetwork.ai/learn/nptel/111105091/c9fd92d0f7de) (Video)
34. [Lecture 34: Multivariate Analysis of Variance (MANOVA): Estimation and Hypothesis testing](https://invisiblenetwork.ai/learn/nptel/111105091/69c5f944f2c3) (Video)
35. [Lecture 35: MANOVA Case Study](https://invisiblenetwork.ai/learn/nptel/111105091/b05883732f7c) (Video)
36. [Lecture 36 : Multiple Linear Regression: Introduction](https://invisiblenetwork.ai/learn/nptel/111105091/cf191d2e757f) (Video)
37. [Lecture 37 : Multiple Linear Regression: Assumptions and Estimation of model parameters](https://invisiblenetwork.ai/learn/nptel/111105091/a532220fa8ab) (Video)
38. [Lecture 38 : Multiple Linear Regression: Sampling Distribution of parameter estimates](https://invisiblenetwork.ai/learn/nptel/111105091/873fb40b106f) (Video)
39. [Lecture 39 : Multiple Linear Regression: Sampling Distribution of parameter estimates (contd)](https://invisiblenetwork.ai/learn/nptel/111105091/4d98f5427715) (Video)
40. [Lecture 40 : Multiple Linear Regression: Model Adequacy Tests](https://invisiblenetwork.ai/learn/nptel/111105091/174b6d599a66) (Video)
41. [Lecture 41 : Multiple Linear Regression: Model Adequacy Tests(contd)](https://invisiblenetwork.ai/learn/nptel/111105091/9846a2aa8b3c) (Video)
42. [Lecture 42 : Multiple Linear Regression: Test of Assumptions](https://invisiblenetwork.ai/learn/nptel/111105091/32f64fdb1786) (Video)
43. [Lecture 43 : MLR-Model diagnostics](https://invisiblenetwork.ai/learn/nptel/111105091/160f72ffd420) (Video)
44. [Lecture 44 : MLR-case study](https://invisiblenetwork.ai/learn/nptel/111105091/aa544ddb5373) (Video)
45. [Lecture 45: Multivariate Linear Regression: conceptual model and assumptions](https://invisiblenetwork.ai/learn/nptel/111105091/74fd01e64604) (Video)
46. [Lecture 46: Multivariate Linear Regression: Estimation of parameters](https://invisiblenetwork.ai/learn/nptel/111105091/cbfa5d11ce8e) (Video)
47. [Lecture 47: Multivariate Linear Regression: Estimation of parameters (contd.)](https://invisiblenetwork.ai/learn/nptel/111105091/1b87910c70d8) (Video)
48. [Lecture 48: Multiple Linear Regression: Sampling Distribution of parameter estimates](https://invisiblenetwork.ai/learn/nptel/111105091/f09e1412e3fe) (Video)
49. [Lecture 49: Multivariate Linear Regression: Model Adequacy Tests](https://invisiblenetwork.ai/learn/nptel/111105091/9b537122bd60) (Video)
50. [Lecture 50: Multiple Linear Regression: Model Adequacy Tests(contd)](https://invisiblenetwork.ai/learn/nptel/111105091/0483d92ae22e) (Video)
51. [Lecture 51: Regression modeling using SPSS](https://invisiblenetwork.ai/learn/nptel/111105091/ea4ee4184dc2) (Video)
52. [Lecture 52 : Principal Component Analysis (PCA): Conceptual Model](https://invisiblenetwork.ai/learn/nptel/111105091/48b5c7885e78) (Video)
53. [Lecture 53 : Principal Component Analysis (PCA): Extraction of Principal components (PCs)](https://invisiblenetwork.ai/learn/nptel/111105091/e1aafa58e6fe) (Video)
54. [Lecture 54 : Principal Component Analysis (PCA): Model Adequacy and Interpretation](https://invisiblenetwork.ai/learn/nptel/111105091/308dfd2f2ed8) (Video)
55. [Lecture 55 : Principal Component Analysis (PCA): Model Adequacy and Interpretation (contd)](https://invisiblenetwork.ai/learn/nptel/111105091/44e7b51ce545) (Video)
56. [Lecture 56: Factor Analysis: Basics and Orthogonal factor models](https://invisiblenetwork.ai/learn/nptel/111105091/a248de375279) (Video)
57. [Lecture 57: Factor Analysis: Types of models and key questions](https://invisiblenetwork.ai/learn/nptel/111105091/1d315d486fad) (Video)
58. [Lecture 58: Factor Analysis: Parameter Estimation](https://invisiblenetwork.ai/learn/nptel/111105091/d4c9200e2e34) (Video)
59. [Lecture 59: Factor Analysis: Parameter Estimation(contd)](https://invisiblenetwork.ai/learn/nptel/111105091/23f0329c6acc) (Video)
60. [Lecture 60: Factor Analysis: Model Adequacy tests and factor rotation](https://invisiblenetwork.ai/learn/nptel/111105091/b8a02afe76ea) (Video)
61. [Lecture 61: Factor Analysis: Factor scores and case study](https://invisiblenetwork.ai/learn/nptel/111105091/216150553abe) (Video)
62. [Lecture 62 : Introduction to Structural Equation Modeling (SEM)](https://invisiblenetwork.ai/learn/nptel/111105091/6450809a0465) (Video)
63. [Lecture 63 : Introduction to Structural Equation Modeling (SEM)(contd)](https://invisiblenetwork.ai/learn/nptel/111105091/5f02df99d80b) (Video)
64. [Lecture 64 : Structural Equation Modeling (SEM): Confirmatory factor analysis (Measurement Model )](https://invisiblenetwork.ai/learn/nptel/111105091/a154f10fdfb4) (Video)
65. [Lecture 65 : Structural Equation Modeling (SEM): Confirmatory factor analysis (contd)](https://invisiblenetwork.ai/learn/nptel/111105091/fdd89caeecac) (Video)
66. [Lecture 66 : Structural Equation Modeling (SEM): Structural Model (Path model)](https://invisiblenetwork.ai/learn/nptel/111105091/3d74b7a416e2) (Video)
67. [Lecture 67 : Structural Equation Modeling (SEM): Structural Model(contd)](https://invisiblenetwork.ai/learn/nptel/111105091/b7089938e2cb) (Video)
68. [Live Session 03-03-2021](https://invisiblenetwork.ai/learn/nptel/111105091/e7708ce54887-2) (Video)
69. [Live Session 14-03-2022](https://invisiblenetwork.ai/learn/nptel/111105091/a7eeaae00846-2) (Video)