MTech Numerical Methods syllabus for 1 Sem 2018 scheme 18BCE11

Module-1 INTRODUCTION 10 hours

INTRODUCTION

Scope of biostatistics, definition, data collection, presentation of data, graphs, charts (scale diagram, histogram, frequency polygon, frequency curve, logarithmic curves). Sampling & selection bias, probability sampling, random sampling, sampling designs. Descriptive statistics: Measure of central tendency (arithmetic mean, geometric mean, harmonic mean, median, quartiles, mode);Measure of dispersion (range, quartile deviation, mean deviation and standard deviation, coefficient of variation).

Module-2 BI-VARIATE DISTRIBUTION 10 hours

BI-VARIATE DISTRIBUTION

Correlation and regression analysis (simple and linear) curve fitting (linear, non-linear and exponential).

 

PROBABILITY

Axioms, models, conditional probability, Bayes rule, Genetic Applications of Probability, Hardy - Weinberg law, Wahlund's Principle, Forensic probability determination, Likelihood of paternity, Estimation of probabilities for multi-locus/multi-allele finger print systems

A d v e r t i s e m e n t
Module-3 Discrete probability distributions 10 hours

Discrete probability distributions

Binomial, Poisson, geometric –derivations. Central limit theorem. Continuous probability distribution – normal, exponential, gamma distributions, beta and Weibull distributions, T & F distributions

Module-4 STATISTICAL INFERENCE 10 hours

STATISTICAL INFERENCE

Estimation theory and testing of hypothesis, point estimation, interval estimation, sample size determination, simultaneous confidence intervals, parametric and non-parametric distributions (T-test, F- test, Chi Squared distribution, goodness of fit test) analysis of variance (one-way and two-way classifications). Case studies of statistical designs of biological experiments (RCBD, RBD).

Module-5 DESIGN OF EXPERIMENTS 10 hours

DESIGN OF EXPERIMENTS

Sample surveys, comparisons groups and randomization, random assignments, single and double blind experiments, blocking and extraneous variables, limitations of experiments.

 

CASE STUDIES:

Statistical tools for setting in process acceptance criteria; T-Test based approach for confirming human antibody response to therapeutic drug; Population statistics for cases related to cigarette smoking, Lung cancer, endangered plants species, epidemics etc.