2010-2011 UF Graduate Catalog (PDF Format) - Graduate School ...

University of Florida Graduate School
http://test.gradschool.ufl.edu/catalog/current-catalog/FOI/STA01.htm[9/15/2010 4:08:30 PM]
topics include wildlife surveys, non-sampling error adjustment,
categorical data analysis, and practical survey examples.
STA 6246: Theory of Linear Models (3) Prereq: STA 6208, 6327,
6329. Theory for analysis of linear models in univariate data;
distributions of quadratic forms; full rank linear models; fixed effect
models of less than full rank; balanced random and mixed models;
unbalanced random and mixed models.
STA 6326: Introduction to Theoretical Statistics I (3) Prereq:
MAC 2313. Theory of probability. Probability spaces, continuous and
discrete distributions, functions of random variables, multivariate
distributions, expectation, conditional expectation, central limit
theorem, useful convergence results, sampling distributions,
distributions of order statistics, empirical distribution function.
STA 6327: Introduction to Theoretical Statistics II (3) Prereq:
STA 6326. Estimation and hypothesis testing. Sufficiency,
information, estimation, maximum likelihood, confidence intervals,
uniformly most powerful tests, likelihood ratio tests, sequential
testing, univariate normal inference, decision theory, analysis of
categorical data.
STA 6329: Matrix Algebra and Statistical Computing(3) Prereq:
MAC 3313. Basic theory of determinants, inverses and generalized
inverses, eigenvalues and eigenvectors; applications of partitioned
matrices; diagonalization and decomposition theorems; applications
in least squares.
STA 6505: Analysis of Categorical Data (3) Prereq: STA 6327
and 6207 or consent of instructor. Varieties of categorical data,
cross-classification tables, tests for independence. Measures of
association. Loglinear models for multi-dimensional tables. Logit
models and analogies with regression. Specialized methods for
ordinal data.
STA 6526: Nonparametric Statistics (3) Prereq: STA 6327 or
consent of instructor. Inference based on rank statistics. One, two,
and k-sample problems. Correlation and regression problems.
Analysis of contingency tables. Conditionally distribution-free rank
tests. Pitman asymptotic relative efficiency.
STA 6707: Analysis of Multivariate Data (3) Prereq: STA 6208
and facility in a computer language. Techniques for analyzing
multivariate data. Emphasis on MANOVA and tests on the structure
of the dispersion matrix. Topics will include discriminant, factor,
profile, and cluster analyses.
STA 6826: Stochastic Processes (3) Prereq: STA 6327. Discrete
time and state Markov process. Ergodic theory.
STA 6857: Time Series Analysis (3) Prereq: STA 4322 and a
basic computer language. Linear time series model building,
spectral density estimation, analysis of nonstationary data, SAS
package on Box and Jenkins model building and forecasting. Case
studies in recent literature will be discussed.
STA 6866: Monte Carlo Statistical Methods (3) Prereq: STA
6327 and STA 6208, or consent of instructor. Introduction to Monte
Carlo statistics.
STA 6905: Individual Work (1-4; max: 10) Prereq: departmental