Course10210645766 lectures
Statistics for Biomedical Engineers
Prof. Babji Srinivasan · IIT Madras
About
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
Week 1
- Statistics - Motivation
- Statistics - Introduction
- Statistics - Definition and Terminology I
- Statistics - Definition and Terminology II
- Data: Primary vs Secondary
- Data: Quantitative vs Qualitative
Week 2
- Data: Presentation
- Data: Static vs Dynamic
- Data: Box Plot and Spyder Graphs
- Data: Summarising Data
- Probability: Event & Sample space
Week 3
- Probability: Mutually exclusive and Independent Events
- Probability: Random Variables
- Probability: Expectation of Random Variable
- Probability: Variance of Random Variable
- Probability Distribution: Binomial, Poisson, Bernoulli
- Probability Distribution: Normal Distribution
Week 4
- Central Limit Theorem: Statement
- Central Limit Theorem: Illustration
- Confidence Interval
- Determining Sample Size
- Hypothesis Test: Introduction
Week 5
- Hypothesis Test: Example
- Hypothesis: P value
- Hypothesis: Type 2 error
- Hypothesis: Chi square Distribution - Part 1
- Hypothesis: Chi square Distribution - Part 2
- Hypothesis: Probability Plots
- Hypothesis: Contingency Table Test
Week 6
- Multivariate Hypothesis: Two Sample Test
- Multivariate Hypothesis: Paired T test
- Multivariate Hypothesis: Paired vs Unpaired Testing
- Multivariate Hypothesis: Two population variances
- Multivariate Hypothesis: Multiple Random Variables - Part 1
- Multivariate Hypothesis: Multiple Random Variables - Part 2
- Multivariate Hypothesis: Covariance and Correlation
Week 7
- One Way ANOVA: Motivation and Assumptions
- One Way ANOVA: Fixed and Random effects Model
- One Way ANOVA: Derivation and Confidence Interval
- One Way ANOVA: Confidence Interval
- One Way ANOVA: Unbalanced Experiment and Residuals
- One Way ANOVA: Interpretation of Results
Week 8
- Statistical Modeling: Introduction
- Statistical Modeling: Linear Regression Derivation
- Statistical Modeling: Linear Regression - Assumption and Residuals
- Statistical Modeling: Multi Linear Regression
- Statistical Modeling: Logistic Regression
Week 9
- Statistical Modeling: Cross Entropy Loss
- Statistical Modeling: Gradient Descent
- Statistical Modeling: One Way Anova via Linear Regression
- Design Of Experiments: Randomised Complete Block Design - Part 1
- Design Of Experiments: Randomised Complete Block Design - Part 2
- RCBD: Math Formulation and Derivation
Week 10
- RCBD: Necessity and Application
- Latin Square: Introduction
- Latin Square: Math and Formulation
- Graeco - Latin Square
- Interaction Among Variables
- Two-Way ANOVA: Introduction
Week 11
- Two-Way ANOVA: Introduction - Part 2
- Two-Way ANOVA: Math and Formulation
- Factorial Design: 2^2 Experiments
- Factorial Design: 2^k Experiments - Part 1
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Biotechnology
- Teacher
- Prof. Babji Srinivasan
- Level
- Undergraduate
- Language
- English
- Subjects
- Biology
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed