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.


Course Status : Upcoming
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


    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


    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


    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.


    • 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.

    • 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

    • 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.