คำอธิบายรายวิชาในหลักสูตร
01422514 Analysis of Categorical Data 3(3-0-6)
Basic results for cross – classification tables, measures of association in multidimensional tables, data analysis using loglinear models, logit models and other models, inference for ordinal measures of association, comparisons of ordinal methods.
01422515 Nonparametric Statistics 3(3-0-6)
Introduction to theory and methods of nonparametric statistical inference, linear rank statistics, tests and estimations of location, dispersion, regression and association, test of randomness and independence, categorical data.
01422523 Statistical Data Mining 3(3-0-6)
Data structure, data management on big data for data mining, database and data bank, applications of data mining, statistical data mining techniques, predictive model building in statistical analysis, model validation and goodness of model prediction.
01422532 Quantitative Analysis in Epidemiology 3(3-0-6)
Applied methods in biostatistics for medical and public health researches, calculations and interpretation of rate, rate adjustments, data display and interpretation, epidemiology study design, cohort study, case-control study, bias, confounding and measures of excess risk, description of disease etiology, analysis of epidemiologic data, trend analysis, smoothing and sensitivity analysis, explaining the observed results.
01422555 Multivariate Analysis 3(3-0-6)
Multivariate normal distribution, estimation and tests of hypotheses, multivariate analysis of variance, principal component analysis, factor analysis, discriminant analysis, cluster analysis, canonical analysis.
01422561 Experimental Design 3(3-0-6)
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(3-0-6)
Model building, checking model adequacy and collinearity problems, factorial designs, fractional factorial designs, process improvement with steepest ascent and descent methods, analysis of second-order response surfaces, mixture experiments.
01422582 Operations Research 3(3-0-6)
Operations research techniques, linear programming models, dual problems, transportation and assignment problems, network analysis, queuing models, inventory models, dynamic programming, game theory.
01422586 Statistical Reliability 3(3-0-6)
Coherent system, reliability of coherent system, reliability estimation, sample size determination, lifetime distribution, lifetime testing, accelerated lifetime testing, nonparametric lifetime testing methods, maintenance and replacement models.
01422587 Stocastic 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.
01422611** Advanced Data Analysis 3(3-0-6)
Bootstrap, nonparametric regression, and smoothing, generalized additive models, classification and regression tree, neural network, image data analysis.
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 comparison, 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, iterated reweighted least squares, generalized linear models, link function, quasilikelihood method, generalized estimating equations for longitudinal data, Box-Cox 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.
01422655* Analysis of Count Data 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 (GEE), Bayesian count data models, extended 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.
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, Meta analysis, multilevel analysis, hierarchical linear model, 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 1-58
Research at the doctoral degree level and compile into a thesis.
คำอธิบายรายวิชานอกหลักสูตร
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.
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