Swayam Central

# Introduction to Biostatistics

By Prof. Shamik Sen   |   IIT Bombay
Observations from biological laboratory experiments, clinical trials, and health surveys always carry some amount of uncertainty. In many cases, especially for the laboratory experiments, it is inevitable to just ignore this uncertainty due to large variation in observations. Tools from statistics are very useful in analyzing this uncertainty and filtering noise from data. Also, due to advancement of microscopy and molecular tools, a rich data can be generated from experiments. To make sense of this data, we need to integrate this data a model using tools from statistics. In this course, we will discuss about different statistical tools required to
(i) analyze our observations,
(ii) design new experiments, and
(iii) integrate large number of observations in single unified model.

Intended Audience:
BE Biotech/Biosciences/Bioengineering,MSc Biotech/Bio sciences/Bioengineering,
PhD Biotech/Biosciences/Bioengineering. It is taught as a core course for M. Tech Biomedical Engineering students at IIT Bombay.

Pre-requisites:         Basic knowledge of 12th standard mathematics is sufficient.
Industries that will recognize this course: Biotech companies, pharma companies and omics companies may be interested in this course.

Learners enrolled: 2450

### SUMMARY

 Course Status : Ongoing Course Type : Elective Duration : 8 weeks Start Date : 29 Jul 2019 End Date : 20 Sep 2019 Exam Date : 29 Sep 2019 Category : Biological Sciences & Bioengineering Level : Postgraduate
This is an AICTE approved FDP course

### COURSE LAYOUT

Week 1: Lecture 1. Introduction to the course
Lecture 2. Data representation and plotting
Lecture 3. Arithmetic mean
Lecture 4. Geometric mean
Lecture 5. Measure of Variability, Standard deviation
Week 2:Lecture 6. SME, Z-Score, Box plot
Lecture 8. Kurtosis, R programming
Lecture 9. R programming
Lecture 10. Correlation
Week 3:Lecture 11. Correlation and Regression
Lecture 12. Correlation and Regression Part-II
Lecture 13. Interpolation and extrapolation
Lecture 14. Nonlinear data fitting
Lecture 15. Concept of Probability: introduction and basics
Week 4:Lecture 16. counting principle, Permutations, and Combinations
Lecture 17. Conditional probability
Lecture 18. Conditional probability and Random variables
Lecture 19. Random variables, Probability mass function, and Probability density function
Lecture 20. Expectation, Variance and Covariance
Week 5:Lecture 21. Expectation, Variance and Covariance Part-II
Lecture 22. Binomial random variables and Moment generating function
Lecture 23. Probability distribution: Poisson distribution and Uniform distribution Part-I
Lecture 24. Uniform distribution Part-II and Normal distribution Part-I
Lecture 25. Normal distribution Part-II and Exponential distribution
Week 6:Lecture 26. Sampling distributions and Central limit theorem Part-I
Lecture 27. Sampling distributions and Central limit theorem Part-II
Lecture 28. Central limit theorem Part-III and Sampling distributions of sample mean
Lecture 29. Central limit theorem - IV and Confidence intervals
Lecture 30. Confidence intervals Part- II
Week 7:Lecture 31.  Test of Hypothesis - 1
Lecture 32. Test of Hypothesis - 2 (1 tailed and 2 tailed Test of Hypothesis, p-value)
Lecture 33. Test of Hypothesis - 3 (1 tailed and 2 tailed Test of Hypothesis, p-value)
Lecture 34. Test of Hypothesis - 4 (Type -1 and Type -2 error)
Lecture 35. T-test
Week 8:Lecture 36. 1 tailed and 2 tailed T-distribution, Chi-square test
Lecture 37. ANOVA - 1
Lecture 38. ANOVA - 2
Lecture 39. ANOVA - 3
Lecture 40. ANOVA for linear regression, Block Design

### BOOKS AND REFERENCES

1. Introduction to Probability & Statistics - Medenhall, Beaver, Beaver 14th Edition
2. Introduction to Probability and statistics for engineers and scientists, S M Ross, 3rd Edition

### INSTRUCTOR BIO

Prof. Shamik Sen joined IIT Bombay in July 2010 as an Assistant Professor in the Department of Biosciences and Bioengineering. Dr. Sen earned a B.E. in Mechanical Engineering from Jadavpur University, Kolkata, and a M. Tech in Mechanical Engineering from IIT Kanpur. He then completed his PhD in Mechanical Engineering from University of Pennsylvania, where he worked in the area of mechanobiology. He is currently working in the area of mechanobiology where he is integrating mechanics and biology for probing stem cell biology and cancer cell biology. He is combining experiments with simulations for addressing his research questions.

### COURSE CERTIFICATE

• The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centers.
• The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
• Date and Time of Exams: 29th September 2019, Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
• Registration url: Announcements will be made when the registration form is open for registrations.
• The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
• Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE
• Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
• Exam score = 75% of the proctored certification exam score out of 100.
• Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75
• If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.
• Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Bombay. It will be e-verifiable at nptel.ac.in/noc.
• Only the e-certificate will be made available. Hard copies are being discontinued from July 2019 semester and will not be dispatched.