Introduction to Biostatistics
Introduction to Biostatistics. Instructor: Prof. Shamik Sen, Department of Bioscience and Bioengineering, IIT Bombay. Biostatistics is application of statistics for the study of living organisms, for human beings, for animals, or for any biological process for that matter. 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. We will discuss about both the theory of these tools and will do handon exercise on open source software R.
(from nptel.ac.in)
Lecture 01  Introduction 
Lecture 02  Data Representation and Plotting 
Lecture 03  Arithmetic Mean 
Lecture 04  Geometric Mean 
Lecture 05  Measures of Variability, Standard Deviation 
Lecture 06  SME, ZScore, Box Plot 
Lecture 07  Moments, Skewness 
Lecture 08  Kurtosis, R Programming 
Lecture 09  R Programming 
Lecture 10  Correlation 
Lecture 11  Correlation and Regression 
Lecture 12  Correlation and Regression (cont.) 
Lecture 13  Interpolation and Extrapolation 
Lecture 14  Nonlinear Data Fitting 
Lecture 15  Concept of Probability: Introduction and Basics 
Lecture 16  Counting Principle, Permutations, and Combination 
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 
Lecture 21  Expectation, Variance and Covariance (cont.) 
Lecture 22  Binomial Random Variables and Moment Generating Function 
Lecture 23  Probability Distribution: Poisson Distribution and Uniform Distribution 
Lecture 24  Uniform Distribution (cont.), Normal Distribution 
Lecture 25  Normal Distribution (cont.), Exponential Distribution 
Lecture 26  Sampling Distributions and Central Limit Theorem 
Lecture 27  Sampling Distributions and Central Limit Theorem (cont.) 
Lecture 28  Central Limit Theorem (cont.), Sampling Distributions of Sample Mean 
Lecture 29  Central Limit Theorem and Confidence Intervals 
Lecture 30  Confidence Intervals (cont.) 
Lecture 31  Test of Hypothesis 
Lecture 32  Test of Hypothesis: 1 Tailed and 2 Tailed Test of Hypothesis, pValue 
Lecture 33  Test of Hypothesis: 1 Tailed and 2 Tailed Test of Hypothesis, pValue 
Lecture 34  Test of Hypothesis: Type1 and Type2 Error 
Lecture 35  TTest 
Lecture 36  1 Tailed and 2 Tailed TDistribution, Chisquare Test 
Lecture 37  Analysis of Variance (ANOVA) 1 
Lecture 38  Analysis of Variance (ANOVA) 2 
Lecture 39  Analysis of Variance (ANOVA) 3 
Lecture 40  ANOVA for Linear Regression, Block Design 
References 
Introduction to Biostatistics
Instructor: Prof. Shamik Sen, Department of Bioscience and Bioengineering, IIT Bombay. Biostatistics is application of statistics for the study of living organisms, for human beings, for animals, or for any biological process for that matter.
