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IIT Bombay

Introduction to Biostatistics

via NPTEL

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Overview

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.

Syllabus 8

  1. 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
  2. Week 2
    • Lecture 6: SME, Z-Score, Box plot
    • Lecture 7: Moments, Skewness
    • Lecture 8: Kurtosis, R programming
    • Lecture 9: R programming
    • Lecture 10: Correlation
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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

Advantages and disadvantages

Advantages

  • Taught by IIT and IISc professors, and it follows the Indian university syllabus closely.
  • All videos and assignments are free on NPTEL and SWAYAM.
  • The certificate is recognised by many Indian universities for credit transfer and by GATE aspirants.
  • Great for GATE and semester exam preparation.
  • Taught by Indian Institute of Technology Bombay, one of the strongest names in its field.
  • Completely free.
  • Self-paced: start any time.
  • A clear syllabus (8 parts) you can see before you start.

Disadvantages

  • The certificate needs a proctored exam at a centre, which has a fee.
  • Recorded classroom lectures: thorough, but slower than made-for-online courses.
  • New runs start on fixed dates (January and July).
  • Learning is free, but the certificate costs money.

Some points apply to every course of this kind; see how we rank.

Free to learn

  • Free: Every video and assignment is free on NPTEL and SWAYAM. Enrol when the next run opens.
  • Certificate: Optional. It needs a proctored exam at a centre, which has a fee.

Before you start

Basic knowledge of 12th standard mathematics is sufficient.

Taught by

  • Prof. Shamik SenIIT Bombay

Indian Institute of Technology Bombay is in Tier 1: world-leading universities and India's top institutes of our institution ranking (96/100).

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