# 133 bayesian statistical inference elements of

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133 Bayesian Statistical Inference. Elements of Bayesian inference; assessment of prior likelihood and posterior distributions; Bayesian estimation and hypothesis testing; predictive distribution and asymptotics; Bayesian Hierarchical Models; introduction to Empirical Bayes; use of statistical software. Prereq: Stat 131, Stat 124. 3 u. 135 Matrix Theory for Statistics. Matrix operations; properties of matrices; special matrices; matrix calculus; determinants; eigenvalues and eigenvectors; linear systems; vector spaces; use of software; applications. Prereq: Math 53, Stat 125. 3 u. 136 Introduction to Regression Analysis. Linear regression model; model selection; regression diagnostics; use of dummy variables; remedial measures. Prereq: Stat 131, Stat 135. 138 Introduction to Sampling Designs. Probability and non- probability sampling; simple random, systematic, cluster, stratified, and multi-stage sampling designs; sampling with probability proportional to size; applications . Prereq: Stat 131, Stat 125. 3 u. 143 Survey Operations. Research process; techniques of data collection; principles of questionnaire design; data coding and encoding; data quality control; presentation of research findings. Prereq: SS a , Technical Writing course, Oral Communication Skills course. 3 u. 145 Introduction to Time Series Analysis and Forecasting. Classical methods; ARIMA models; Box-Jenkins method; unit root processes; intervention analysis; GARCH Models; regression with time series data; applications. Prereq: Stat 136. 3 u. 146 Introduction to Exploratory Data Analysis. Displaying and summarizing batches; re-expressing data; median polish; a A student has SS if s/he requires at most 18 major units to graduate robust and resistant measures; fitting resistant lines. Coreq: Stat 136. 3 u. 147 Introduction to Multivariate Analysis. Multivariate normal distribution; inference on mean vector and dispersion matrices; principal component analysis; canonical correlation analysis; discriminant analysis; factor analysis; cluster analysis; other multivariate techniques; applications. Prereq: Stat 136. 3 u . 148 Introduction to Experimental Designs. Principles of experimentation; completely randomized design; randomized complete block design; Latin-square design; cross-over design; factorial experiments; incomplete block design; other experimental designs; applications. Prereq: Stat 136. 3 u. 149 Introduction to Categorical Data Analysis. Categorical data; cross-classification tables; analysis using loglinear, logistic and logit models. Prereq: Stat 136. 3 u. 191 Special Topics in Biological and Medical Statistics. Prereq: COI. 3 u. 191.1 Introduction to Biostatistics. Descriptive and inferential statistics in the health sciences: clinical trials, epidemiologic studies: survival analysis. Prereq: Stat 125. Coreq: Stat 148. 3 u. 192 Special Topics in Business and Economic Statistics. Prereq: COI. 3 u.