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Statistics for Biomedical Engineers

By Prof. Babji Srinivasan   |   IIT Madras
Learners enrolled: 907   |  Exam registration: 125
ABOUT THE COURSE:
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

INDUSTRY SUPPORT: This is a basic course and will serve as a pre-requeiste for AI/ML courses in medical domain and hence provides value for wider audience in the area of biomedical engineering
Summary
Course Status : Completed
Course Type : Elective
Language for course content : English
Duration : 12 weeks
Category :
  • Biological Sciences & Bioengineering
  • Bioengineering
  • Computational Biology
Credit Points : 3
Level : Undergraduate/Postgraduate
Start Date : 22 Jul 2024
End Date : 11 Oct 2024
Enrollment Ends : 05 Aug 2024
Exam Registration Ends : 16 Aug 2024
Exam Date : 03 Nov 2024 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.


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Course layout

Week 1:  Introduction to Biostatistics, applications of biostatistics, discussion of few use cases.

Week 2: Introduction to statistics, Need for statistics, Role of probability, Discussion of descriptive statistics

Week 3: Discussion of Mean, Median and mode, Introduction to probability theory, probability distributions, Expectations, Population variance, sample statistics, Inferential statistics

Week 4: Central limit theorem, Confidence intervals, Introduction to Hypothesis testing, Elements of Hypothesis testing, Large sample test, p-values

Week 5: Small sample test, T-distribution, Type I error, Type II error, Power of test, Chi-Square distribution, Hypothesis test using variance, Contingency test, Test of Independence, Probability plots

Week 6: Hypothesis test for two independent population, paired T test, F-distribution, Detailed discussion on ANOVA, Derivation of Mean Squared Treatment and Mean Squared Error in ANOVA, Sample problems

Week 7: Joint distribution, Covariance & Correlation between random variables, Simple Linear Regression, R-squared statistic, Confidence intervals for regression parameters, Multiple Linear Regression, Adjusted R-Squared statistic

Week 8: Logistic Regression, logit function, Derivation of log-likelihood function, Revisit ANOVA using linear regression, Derivation of ANOVA equations, Sample problems

Week 9: Introduction to Blocking, Randomized Complete Block Design, Latin square design, Sample Problems

Week 10: Graeco-Latin Square design, Introduction to factorial design, 22 factorial design, Discussion on interactions

Week 11: 23 factorial design, Derivation of relevant equations, Sample problems

Week 12: 2-Way ANOVA, Use cases, Derivations, Sample problems

Books and references

1.Biostatistics: A foundation for analysis in the health sciences, Daniel, W. W. and C, L. Cross 9ed Wiley. 2013.
2. Biostatistics for the Biological and Health Sciences, Triola and Triola, Pearson Addison Wesley
3. Montgomery, Douglas C., and George C. Runger. Applied statistics and probability for engineers. John wiley & sons, 2020.
4. Montgomery, Douglas C. Design and analysis of experiments. John wiley & sons, 2017.

Instructor bio

Prof. Babji Srinivasan

IIT Madras
Prof. Babji Srinivasan is an Associate Professor in the Department of Applied Mechanics and Biomedical Engineering at IIT Madras. He obtained his B. Tech in Instrumentation and Control from Madras Institute of Technology and went on to pursue his s Masters chemical engineering from IIT Madras. Later, he pursued his PhD from Texas Tech University in Chemical Engineering after which he had a brief stint as Postdoctoral Scientist at Columbia University in New York. Before joining IIT Madras, he was as an Assistant Professor at IIT Gandhinagar and had a joint affiliation with both Electrical and Chemical Engineering departments. He was also a visiting Research Scientist at Columbia University in 2014. The overarching goal of Dr. Babji’s research is to develop a science-based understanding of the human performance analysis (both cognitive and physical) and weaknesses in the context of Cyber-Physical Human Systems (CPHS). He is a recipient of Young Faculty Award at IIT Madras. He has received several grants worth over 40 million rupees from various funding agencies to carryout research in the field of CPHS. His research has resulted in more than 100 peer reviewed journals and conference proceedings. He has also co-authored an undergraduate book in the area of process control.

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 centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 
03 November 2024 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 8 assignments out of the total 12 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 Madras .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team


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