CCMAS Course Search

Limiting theorems; Convergence of sequence of variables and some probability functions limiting distribution; Generating functions and inversion theorems; Special parametric univariate and multivariate distributions and large sample theory; Further theory of statistical inference

Sampling theory and its critique; subjective probability; likelihood principles; Bayes theorem; Bayesian analysis of Normal theory inference problems; the Behrens-Fisher problem; assessment of model assumptions; robustness of inference; analysis of variance; estimation of variance components; empirical Bayes; some aspects of multivariate problems; sequential nature of Bayesian inference; prior and posterior distributions of parameters in binomial; poisson; exponential and normal populations; comparison of two normal distributions; predictive distributions; decision theory; utility; risk aversion; extensive form of analysis; two-action problems; point estimation; best population problems; economics of sampling

Advanced Regression; Bio-assays; Probit and Logit models; Growth Curves; Logistic Regression; Potency/efficacy determination; Theory of clinical trials; Ethical Issues in Medical Data Collection

Probability mass functions for 2x2 tables measures of association for 2x2 tables and general cxc tables; Probability mass functions for rxc tables; Goodness of fit tests; Square tables and their applications structural models for two and higher dimensions; Log-linear models and estimate of parameters; Logistic regression and bio-assays

General Linear Models; Generalized inverse of a Matrix; Factorial Experiments; Symmetric and Asymmetric; Balanced and Partially Balanced incomplete Block Designs; Resolvable; Row-Column designs; Response Surface Methodology; Construction of Designs

OLS; Gauss-Markov Theorem; MLE; Specification and misspecification test; Predictive and non-predictive tests; Tests of hypothesis for linear model; The likelihood ratio; wald and language multiplier Tests; Multi-collinearity; Specification bias; GLS; Dummy variables and seasonal variations; Inferences based on asymptotic Distribution Theory

Multivariate normal distribution; estimation of mean and covariance matrix; Wishart distribution; distribution of partial and multiple correlation coefficients; Hotelling's T2; Principal components

Distribution-free methods; Distribution of order statistics and quintiles; One and two sample tests; Confidence intervals; Transformation of statistics and their asymptotic properties; OC and ASN functions of SPRT; SPRT for composite hypotheses; Elements of sequential estimation Stein's two stage sampling methods for point and interval estimate