# Statistics for Biomedical Engineers

- Institution: IIT Madras
- Department: Biotechnology
- Teacher: Prof. Babji Srinivasan
- Level: Undergraduate
- Language: English
- Subjects: Biology
- Source: [NPTEL](https://nptel.ac.in/courses/102106457)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/102106457)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Biostatistics is a discipline that develops and applies methodology for quantitative studies in public health and biomedical research. The methodology learnt using this course will help students to design & analysis of health surveys, clinical trials, prevention trials, intervention studies, longitudinal studies, and laboratory studies. The objective of this course is to provide a comprehensive knowledge on these aspects to the Senior Undergraduate, M.Tech, MS and Ph.D. students, primarily to enhance their analysis and employability skills. The course will provide an introduction of Biostatistics, data representation and analysis. Also will provide Brief insight into probability theory and statistical inference methods. Students will learn various experimental design strategies and statistical methods that can be used to conduct research studies pertaining to health services.

Intended audience: Undergraduate Students, IIIrd/IVth Year students and Masters students

Prerequisites: Preferably Masters/Senior Undergraduate students with engineering/mathematics background

## Lectures

1. [Statistics - Motivation](https://invisiblenetwork.ai/learn/nptel/102106457/127766ecc721) (YouTube)
2. [Statistics - Introduction](https://invisiblenetwork.ai/learn/nptel/102106457/56379888880e) (YouTube)
3. [Statistics - Definition and Terminology I](https://invisiblenetwork.ai/learn/nptel/102106457/fd31faa2d189) (YouTube)
4. [Statistics - Definition and Terminology II](https://invisiblenetwork.ai/learn/nptel/102106457/350260eec8d8) (YouTube)
5. [Data: Primary vs Secondary](https://invisiblenetwork.ai/learn/nptel/102106457/37ae354942cc) (YouTube)
6. [Data: Quantitative vs Qualitative](https://invisiblenetwork.ai/learn/nptel/102106457/125a1d33d76c) (YouTube)
7. [Data: Presentation](https://invisiblenetwork.ai/learn/nptel/102106457/ea7ee5de02bd) (YouTube)
8. [Data: Static vs Dynamic](https://invisiblenetwork.ai/learn/nptel/102106457/8c12a1fb2352) (YouTube)
9. [Data: Box Plot and Spyder Graphs](https://invisiblenetwork.ai/learn/nptel/102106457/d0b9a0d19ffc) (YouTube)
10. [Data: Summarising Data](https://invisiblenetwork.ai/learn/nptel/102106457/255426c6dd2d) (YouTube)
11. [Probability: Event & Sample space](https://invisiblenetwork.ai/learn/nptel/102106457/ef0d6ce872be) (YouTube)
12. [Probability: Mutually exclusive and Independent Events](https://invisiblenetwork.ai/learn/nptel/102106457/5d869e7bf3b2) (YouTube)
13. [Probability: Random Variables](https://invisiblenetwork.ai/learn/nptel/102106457/0b49437df7d5) (YouTube)
14. [Probability: Expectation of Random Variable](https://invisiblenetwork.ai/learn/nptel/102106457/f511fe55d1b9) (YouTube)
15. [Probability: Variance of Random Variable](https://invisiblenetwork.ai/learn/nptel/102106457/4342f47d44b9) (YouTube)
16. [Probability Distribution: Binomial, Poisson, Bernoulli](https://invisiblenetwork.ai/learn/nptel/102106457/ee8a0c1d257f) (YouTube)
17. [Probability Distribution: Normal Distribution](https://invisiblenetwork.ai/learn/nptel/102106457/fb6c3320430a) (YouTube)
18. [Central Limit Theorem: Statement](https://invisiblenetwork.ai/learn/nptel/102106457/fd88967fb223) (YouTube)
19. [Central Limit Theorem: Illustration](https://invisiblenetwork.ai/learn/nptel/102106457/1e4e8da46e3a) (YouTube)
20. [Confidence Interval](https://invisiblenetwork.ai/learn/nptel/102106457/a23124896719) (YouTube)
21. [Determining Sample Size](https://invisiblenetwork.ai/learn/nptel/102106457/c8384ef814e3) (YouTube)
22. [Hypothesis Test: Introduction](https://invisiblenetwork.ai/learn/nptel/102106457/84ae96aa4b2b) (YouTube)
23. [Hypothesis Test: Example](https://invisiblenetwork.ai/learn/nptel/102106457/69cbd612ed0a) (YouTube)
24. [Hypothesis: P value](https://invisiblenetwork.ai/learn/nptel/102106457/ea76e7b63db1) (YouTube)
25. [Hypothesis: Type 2 error](https://invisiblenetwork.ai/learn/nptel/102106457/0669fcda1862) (YouTube)
26. [Hypothesis: Chi square Distribution - Part 1](https://invisiblenetwork.ai/learn/nptel/102106457/67add8d3efb8) (YouTube)
27. [Hypothesis: Chi square Distribution - Part 2](https://invisiblenetwork.ai/learn/nptel/102106457/06b237d5f242) (YouTube)
28. [Hypothesis: Probability Plots](https://invisiblenetwork.ai/learn/nptel/102106457/5c2a842b16e8) (YouTube)
29. [Hypothesis: Contingency Table Test](https://invisiblenetwork.ai/learn/nptel/102106457/761941bc3682) (YouTube)
30. [Multivariate Hypothesis: Two Sample Test](https://invisiblenetwork.ai/learn/nptel/102106457/a0afc222612e) (YouTube)
31. [Multivariate Hypothesis: Paired T test](https://invisiblenetwork.ai/learn/nptel/102106457/670249650258) (YouTube)
32. [Multivariate Hypothesis: Paired vs Unpaired Testing](https://invisiblenetwork.ai/learn/nptel/102106457/3951d27eb0c3) (YouTube)
33. [Multivariate Hypothesis: Two population variances](https://invisiblenetwork.ai/learn/nptel/102106457/2dc8458065a3) (YouTube)
34. [Multivariate Hypothesis: Multiple Random Variables - Part 1](https://invisiblenetwork.ai/learn/nptel/102106457/ae1e42fc5b90) (YouTube)
35. [Multivariate Hypothesis: Multiple Random Variables - Part 2](https://invisiblenetwork.ai/learn/nptel/102106457/a9768d603726) (YouTube)
36. [Multivariate Hypothesis: Covariance and Correlation](https://invisiblenetwork.ai/learn/nptel/102106457/d8553fcebdbd) (YouTube)
37. [One Way ANOVA: Motivation and Assumptions](https://invisiblenetwork.ai/learn/nptel/102106457/cad5c1e9a25a) (YouTube)
38. [One Way ANOVA: Fixed and Random effects Model](https://invisiblenetwork.ai/learn/nptel/102106457/ac2bd6d96abd) (YouTube)
39. [One Way ANOVA: Derivation and Confidence Interval](https://invisiblenetwork.ai/learn/nptel/102106457/d8d9a5031fad) (YouTube)
40. [One Way ANOVA: Confidence Interval](https://invisiblenetwork.ai/learn/nptel/102106457/9b23b055300b) (YouTube)
41. [One Way ANOVA: Unbalanced Experiment and Residuals](https://invisiblenetwork.ai/learn/nptel/102106457/64126a2f6826) (YouTube)
42. [One Way ANOVA: Interpretation of Results](https://invisiblenetwork.ai/learn/nptel/102106457/86b60b327e24) (YouTube)
43. [Statistical Modeling: Introduction](https://invisiblenetwork.ai/learn/nptel/102106457/b6cefac51731) (YouTube)
44. [Statistical Modeling: Linear Regression Derivation](https://invisiblenetwork.ai/learn/nptel/102106457/1f327ebbba16) (YouTube)
45. [Statistical Modeling: Linear Regression - Assumption and Residuals](https://invisiblenetwork.ai/learn/nptel/102106457/e8b338ef9587) (YouTube)
46. [Statistical Modeling: Multi Linear Regression](https://invisiblenetwork.ai/learn/nptel/102106457/7c8d7957fbdb) (YouTube)
47. [Statistical Modeling: Logistic Regression](https://invisiblenetwork.ai/learn/nptel/102106457/35987a253f54) (YouTube)
48. [Statistical Modeling: Cross Entropy Loss](https://invisiblenetwork.ai/learn/nptel/102106457/266eecaa16c1) (YouTube)
49. [Statistical Modeling: Gradient Descent](https://invisiblenetwork.ai/learn/nptel/102106457/37e707c87087) (YouTube)
50. [Statistical Modeling: One Way Anova via Linear Regression](https://invisiblenetwork.ai/learn/nptel/102106457/fa34dddd4c0d) (YouTube)
51. [Design Of Experiments: Randomised Complete Block Design - Part 1](https://invisiblenetwork.ai/learn/nptel/102106457/1234fe0557c6) (YouTube)
52. [Design Of Experiments: Randomised Complete Block Design - Part 2](https://invisiblenetwork.ai/learn/nptel/102106457/59ef0727d70a) (YouTube)
53. [RCBD: Math Formulation and Derivation](https://invisiblenetwork.ai/learn/nptel/102106457/faecd54033be) (YouTube)
54. [RCBD: Necessity and Application](https://invisiblenetwork.ai/learn/nptel/102106457/827e1b18d99c) (YouTube)
55. [Latin Square: Introduction](https://invisiblenetwork.ai/learn/nptel/102106457/7d8bade283d4) (YouTube)
56. [Latin Square: Math and Formulation](https://invisiblenetwork.ai/learn/nptel/102106457/f514fcb3b1ef) (YouTube)
57. [Graeco - Latin Square](https://invisiblenetwork.ai/learn/nptel/102106457/aa255b0a5f89) (YouTube)
58. [Interaction Among Variables](https://invisiblenetwork.ai/learn/nptel/102106457/7f4ffe6fbf66) (YouTube)
59. [Two-Way ANOVA: Introduction](https://invisiblenetwork.ai/learn/nptel/102106457/c69273a3518d) (YouTube)
60. [Two-Way ANOVA: Introduction - Part 2](https://invisiblenetwork.ai/learn/nptel/102106457/e1c8fe700ffd) (YouTube)
61. [Two-Way ANOVA: Math and Formulation](https://invisiblenetwork.ai/learn/nptel/102106457/e1070651e2d8) (YouTube)
62. [Factorial Design: 2^2 Experiments](https://invisiblenetwork.ai/learn/nptel/102106457/4765af3de094) (YouTube)
63. [Factorial Design: 2^k Experiments - Part 1](https://invisiblenetwork.ai/learn/nptel/102106457/d2ed1fa94796) (YouTube)
64. [Factorial Design: 2^k Experiments - Part 2](https://invisiblenetwork.ai/learn/nptel/102106457/74d414ebd8b2) (YouTube)
65. [Factorial Design: Blocking](https://invisiblenetwork.ai/learn/nptel/102106457/c54b24cdcfda) (YouTube)
66. [Introduction to Python Programming for Biomedical Engineers](https://invisiblenetwork.ai/learn/nptel/102106457/8b63a1a48088) (YouTube)