The aim of this course is to give an overview about survival analysis and medical statistics.

To equip the students with the methodology for analyzing censored data that arises in medical or engineering problems;

To help the students to acquire knowledge on the theory of survival analysis and medical statistics;

After completion of the course, students will be able to

conduct an epidemiological or medical study.

apply proper statistical methods and models to analyze the data from epidemiological or medical study.

Basic Concept:  survival function, Hazard function, , Intensity of failure, Lifetime, Model of lifetime or failure time, Distribution and density function of functions of the random  future lifetime,,Residual life, Conditional probabilities of failure, Central failure rate and their inter-relationship, the force of mortality or hazard rate, Gompertz and Makeham laws of mortality, Curtate future lifetime and its probability density function, Expected value and variance of the curtate and complete future lifetime, Two-state model of a single decrement

Lifetime Distributions: Censoring of lifetime data, Estimation of empirical survival function in the absence of censoring, Kapler-Meler model estimator of survival function, Nelson-Aalen estimator of the cumulative hazard rate, Models for proportional hazard, Cox model for proportional hazard, uniform, Exponential, Weibull, Extreme value distributions.

Life Table: Basic concept, , Life table, construction of Life Table

Incomplete Data Analysis: Type of censoring, Construction of likelihood function with censored data, Estimation of Parameters and their sampling variances from exponential, Weibull, and extreme value distributions using type I and type II censored data.

Medical Statistics: Introduction, Biological assay, Cross-sectional, Prospective and Retrospective study designs, Study of prevalence, Incidence and risk factors, Attributable risk and relative risk, Screening test, Clinical drug trials– symptoms and cognitive factors, Randomized and most general rules, Treatment covariate interaction.

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