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NPTEL

Introduction to Biostatistics

NPTEL and Indian Institute of Technology Bombay via YouTube

Syllabus

Introduction to the course.
Data representation and plotting.
Arithmetic mean.
Geometric mean.
Measure of Variability, Standard deviation.
SME, Z-Score, Box plot.
Moments, Skewness.
Kurtosis, R programming.
R programming.
Correlation.
Correlation and Regression.
Correlation and Regression Part-II.
Interpolation and extrapolation.
Nonlinear data fitting.
Concept of Probability: Introduction and basics.
Counting principle, Permutations, and Combinations.
Conditional probability.
Conditional probability and Random variables.
Expectation, Variance and Covariance Part - II.
Binomial random variables and Moment generating function.
Random variables, Probability mass function, and Probability density function.
Expectation, Variance and Covariance.
Probability distribution : Poisson distribution and Uniform distribution Part-I.
Uniform distribution Part-II and Normal distribution Part-I.
Normal distribution Part-II and Exponential distribution.
Sampling distributions and Central limit theorem Part-I.
Sampling distributions and Central limit theorem Part-II.
Central limit theorem Part-III and Sampling distributions of sample mean.
Central limit theorem - IV and Confidence intervals.
Confidence intervals Part- II.
Test of Hypothesis - 1.
Test of Hypothesis - 2 (1 tailed and 2 tailed Test of Hypothesis, p-value).
Test of Hypothesis - 3 (1 tailed and 2 tailed Test of Hypothesis, p-value).
Test of Hypothesis - 4 (Type -1 and Type -2 error).
T-test.
1 tailed and 2 tailed T-distribution, Chi-square test.
ANOVA - 1.
ANOVA - 2.
ANOVA - 3.
ANOVA for linear regression, Block Design.

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Introduction to Biostatistics

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