MTech Numerical Methods And Biostatistics syllabus for 1 Sem 2018 scheme 18BBI11

Module-1 MODULE – 1 10 hours

INTRODUCTION TO STATISTICS AND STUDY DESIGN:

Introduction to statistics, data, variables, types of data, tabular, graphical and pictorial representation of data. Significance of statistics to biological problems, experimental studies; randomized controlled studies, historically controlled studies, cross over, factorial design, cluster design, randomized; complete, block, stratified design, biases, analysis and interpretation.

Module-2 MODULE – 2 10 hours

DESIGN:

Types of variables, measure of spread, logarithmic transformations, multivariate data. Basics of study design, cohort studies, case-control studies, outcomes, odd ratio and relative risks. Principles of statistical inference: Parameter estimation, hypothesis testing. Statistical inference on categorical variables; categorical data, binomial distribution, normal distribution, sample size estimation.

A d v e r t i s e m e n t
Module-3 MODULE – 3 10 hours

COMPARISON OF MEANS:

Test statistics; t-test, F distribution, independent and dependent sample comparison, Wilcoxon Signed Rank Test, Wilcoxon-Mann-Whitney Test, ANOVA. Correlation and simple linear regression: Introduction, Karl Pearson correlation coefficient, Spearman Rank correlationCoefficient, simple linear regression, regression model fit, inferences from the regression model, ANOVA tables for regression. Multiple linear regression and linear models: Introduction, Multiple linear regression model, ANOVA table for multiple linear regression model, assessing model fit, polynomials and interactions. One-way and Two way ANOVA tables, T-tests; F-tests. Algorithm and Implementation using numerical methods with case studies.

Module-4 MODULE – 4 10 hours

DESIGN AND ANALYSIS OF EXPERIMENTS:

Random block design, multiple sources of variation, correlated data and random effects regression, model fitting. Completely randomized design, stratified design. Biological study designs. Optimization strategies with case studies.

Module-5 MODULE – 5 10 hours

STATISTICS IN MICROARRAY, GENOME MAPPING AND BIOINFORMATICS:

Types of microarray, objectives of the study, experimental designs for micro array studies, microarray analysis, interpretation, validation and microarray informatics. Genome mapping, discrete sequence matching,