Subjects list by Ph.D. in Statistics
01422611 Advanced Data Analysis 3(3-0-6)
Bootstrap method, nonparametric regression and smoothing techniques, generalized additive models, classification, decision tree, Naïve Bayes, artificial neural network, image data analysis.
01422621 Statistical Machine Learning Theories 3(3-0-6)
Classification theories. K-nearest neighbors algorithm. Decision trees. Naïve Bayes classifiers and Bayesian networks. Artificial neural networks. Clustering. Support vector machine. Association rules. Genetic algorithm. Model evaluation techniques. Other machine learning techniques and applications.
01422631 Biostatistical Analysis 3(3-0-6)
Study design, probability and probability models, estimation and hypothesis testing, one way and multi-way analysis of variance, multiple comparisons, data transformation, multiple linear regression, categorical data analysis, non-parametric testing, health statistics and survival analysis.
01422632 Design and Analysis for Clinical Research 3(3-0-6)
Clinical research, classification of clinical trial, statistical considerations and clinical significance, designs of clinical trials, outcomes, sample size determination, treatment allocation and blinding, methods of statistical analysis, interim analysis, evaluation of efficacy and safety, clinical protocol, clinical data management, monitoring clinical trial progress, report results.
01422633 Statistical Methods for Toxicology 3(3-0-6)
Concepts of direct and indirect bioassays, dose-response relationship, quantal responses and the tolerance distribution, probit and logit regression, detecting the synergistic or antagonistic effects of drug or chemical interaction.
01422634 Survival Analysis 3(3-0-6)
Censored data, function of survival time, survival distributions and applications, nonparametric methods for estimating survival functions, comparative of survival distributions, analytical estimation for survival distributions, Kaplan-Meier estimators, parametric methods for comparing survival distributions, Cox’s regression model and Frailty model.
01422635 Sequential Analysis for Clinical Trial 3(3-0-6)
Clinical trials, randomization process, sequential procedures, sequential sampling plans, sequential probability ratio test, sequential tests with boundaries, the triangular test, group sequential tests, sample size determination, procedures of point estimation, Bayesian decision in clinical trials.
01422636 Statistical Methods for Genetic Data 3(3-0-6)
Basic principles of population genetics, gene frequency estimation, pedigrees analysis, Monte Carlo methods, Markov models, data management and analysis of biological sequence, linkage analysis, population association, ethics in the use of statistics in genetic.
01422641 Probability and Measure Theory 3(3-0-6)
Measure theory, probability measures, random variable, independence, generating functions, integral, moments and laws of large numbers, convergence theorems, P-dimensional measure spaces, the Radon-Nikodym theorem, expectations and conditional expectations, martingales, convergence of measures, product spaces, characteristic functions, central limit theorems, infinitely divisible distributions.
01422642 Advanced Statistical Inference 3(3-0-6)
Theory of estimation, large sample theory, asymptotics optimality, statistical hypotheses, testing of linear hypotheses.
01422643 Bayesian Statistics 3(3-0-6)
Concept of Bayesian statistics, subjective probability prior information, noninformative prior distributions, conjugate prior distribution, posterior distributions, Bayesian inference single and multiple parameter models, discrete mixture priors, large sample in Bayesian data analysis, hierarchical models, robust Bayesian methods, Bayesian model, comparison and checking.
01422644 Sampling Theory 3(3-0-6)
Theory of inverse sampling, capture-recapture sampling, network sampling, adaptive sampling, small area estimation, randomized response sampling, complex survey, sampling error, non-response.
01422645 Statistical Decision Theory 3(3-0-6)
Decision principles, utility theory, loss function, prior information, Bayesian analysis, minimax analysis, Bayesian sequential analysis.
01422646 Theoretical Statistics 3(3-0-6)
Probability theory, conditional probability, independence, Bayes’ rule, random variable, transformations, discrete and continuous distributions, expected value, variance, moment generating function, characteristic function, multivariate distributions, covariance, law of large number, central limit theorem, order statistics, methods for finding estimator, properties of point estimators, confidence intervals, theory of hypothesis testing.
01422647 Advanced Statistical Computing 3(3-0-6)
Resampling methods, computation of maximum likelihood estimates, Markov chain Monte Carlo method, EM algorithm, computation of Baysian inference.
01422651 Theory of Linear Model 3(3-0-6)
Matrix theory for statistics, properties of normal distribution, distribution of quadratic forms, least squares principle and the Gauss-Markov theorem, multivariate normal distribution, one-way and two-way classification models, estimation and testing of linear hypotheses, analysis of covariance, statistical linear model for unbalanced data, mixed models, reparameterization in linear models.
01422652 Advanced Regression Analysis 3(3-0-6)
Concept of linear regression, linear regression with nonhomogeneous variance, outlier detection, nonlinear regression. Gauss-Newton procedure, iterative reweighted least squares, generalized linear models, link function, quasi-likelihood method, generalized estimating equations for longitudinal data, data transformation.
01422653 Advanced Time Series 3(3-0-6)
Stationary time series, spectral representation and prediction of a stationary process, ARMA model, ARIMA model, multivariate time series, state-space models.
01422654 Regression Methods for Research 3(3-0-6)
Linear regression. Logistic regression. Poisson regression. Probit regression. Tobit regression. Repeated measures analysis. Regression trees.
01422655 Count Data Analysis 3(3-0-6)
Count data, regression for count data, some count data regression models, multivariate count data, overdispersion problem, generalized count data regression model, problems with zeros, underdispersion count data model, generalized estimating equations. Panel count data, Bayesian count data models.
01422661 Advanced Experimental Design and Analysis 3(3-0-6)
Basic principles of experimental design, blocks and related designs, factorial designs and confounding, fractional factorial designs, linear model in experiment, response surface designs, robust designs, mixture experiments.
01422681 Analysis of Stochastic Process 3(3-0-6)
Analysis and characterization of stochastic processes, Markov chain, discrete time Markov chain, Poisson process, continuous time Markov chain, Markov process and decision, branching process, Markov renewal process, stochastic reliability model, queuing systems, Brownian motion.
01422682 Theory of Statistical Quality Control 3(3-0-6)
Quality improvement philosophies, process of statistical quality control, inferences about process quality, control charts for variables and attributes, improvement process, multivariate statistical process control, acceptance sampling, international quality standards.
01422686 Advanced Reliability Analysis 3(3-0-6)
Reliability and lifetime data models. Bayesian analyses. Bayesian computation. Simulation-based tool for reliability model. MCMC algorithms. Hierarchical modeling and empirical Bayes methods. System reliability. Bayesian repairable systems modeling. Bayesian methods for the regression reliability models.
01422691 Advanced Research Methods in Statistics 2(2-0-4)
Research methodology, exploratory factor analysis, confirmatory factor analysis, structural equation model, path analysis, longitudinal model, systematic review and Meta analysis, multilevel analysis, event history analysis.
01422696 Selected Topics in Statistics 1-3
Selected topics in statistics at the doctoral degree level. Topics are subject to change each semester
01422697 Seminar 1
Presentation and discussion on interesting topics in statistics at the doctoral degree level.
01422698 Special Problems 1-3
Study and research in statistics at the doctoral degree level and compiled into a written report.
01422699 Thesis 1-48
Research at the doctoral degree level and compile into a thesis
Subjects list by other curricula
01206559 Logistics Engineering 3(3-0-6)
Integration of logistic support and systems engineering processes, design and use of the systems throughout their life cycles, analysis of logistic problems in terms of reliability, maintainability, human factors and economic feasibility.
01206621 Advanced Optimization 3(3-0-6)
Numerical techniques for large scale discrete and continuous optimizations, decomposition and partitioning principles, dynamic and stochastic optimization, infinite dimensional optimization, applied optimization in engineering designs.
01416561 Bioinformatics 3(1-6-5)
Biological database retrieval and analysis; computer software usage for prediction of gene structure, genome and protein; nucleotide sequence and amino acid sequence alignments; primer design; data mining application; genome mapping and gene expression analysis.
01422513 Analysis of Categorical Data 3(2-2-5)
Distributions and inference for categorical data. Measures of association in multidimensional tables. Data analysis using loglinear models. Logit models and other models. Inference for ordinal measures of association.
01422514 Nonparametric Statistics 3(2-2-5)
Concepts of nonparametric statistical inference. Tests and estimations of location. Dispersion. Regression and association. Test of randomness and independence.
01422555 Multivariate Analysis 3(2-2-5)
Multivariate normal distribution. Inference about one and two population means. Multivariate regression analysis. Multivariate analysis of variance. Principal component analysis. Factor analysis. Discriminant analysis. Cluster analysis.
01422561 Experimental Design 3(2-2-5)
Principles of experimental designs, experiments for a single factor, model checking, block designs, factorial experiment, nested designs, split-plot designs, analysis of covariance.
01422562 Response Surface Design and Analysis 3(2-2-5)
Principles of experimental designs. Experiments for a single factor. Model checking. Block designs. Factorial experiment. Nested designs. Split-plot designs. Analysis of covariance.
01422582 Operations Research 3(3-0-6)
Operations research techniques. Linear programming models. Simplex method. Two-phase method. Optimal solution. Revised simplex method. Dual problems. Transportation and assignment problems. Network analysis. Queueing models. Inventory models. Dynamic programming. Using software.
01422585 Stochastic Processes 3(3-0-6)
Principles of stochastic process. Theory of Markov chain. Stationary process. Poisson process. Renewal theory. Markov process. Harmonic analysis of processes.