Statistics
Math placement information is in the front of this catalog in the Undergraduate: Applying for Admission section. No student will be permitted to enroll in a course having prerequisites if a grade lower than a C (2.0) is received in the prerequisite course.
A per semester fee to support the Mathematics and Statistics tutorial lab will be assessed for one or more of the following courses: MATH F103, F107, F108, F161, F200, F201, F202, F262, F272, STAT F200X. A per semester fee to provide access to computer software and hardware will be assessed for one or more of MATH F310, F460; any STAT course except STAT F200X; and any CS course. Please see the class schedule for details.
STAT F200X Elementary Probability and Statistics (m)
3 Credits
Descriptive statistics, frequency distributions, sampling distributions, elementary probability, estimation of population parameters, hypothesis testing (one and two sample problems), correlation, simple linear regression, and one-way analysis of variance. Parametric methods. Also available via Independent Learning. Special fees apply. Prerequisites: MATH F107X or MATH F161X or placement; or permission of instructor. (3+0)
STAT F300 Statistics (m)
3 Credits
A calculus-based course emphasizing applications. Topics include probability, joint and conditional probability, expectation and variance including maximum likelihood, one and two sample hypothesis tests including likelihood ratio tests, simple linear regression, and one-way analysis of variance. A student may not use STAT F200X and STAT F300 to meet the requirement of a year's sequence course in statistics. Special fees apply. Prerequisites: MATH F200X or MATH F262X or MATH F272X or placement or equivalent. (3+0)
STAT F401 Regression and Analysis of Variance (m)
4 Credits
Thorough study of multiple regression including multiple and partial correlation, the extra sum of squares principle, indicator variables, polynomial models, model selection techniques and assessment of underlying assumptions. Analysis of variance and covariance for multifactor studies in completely random and randomized complete block designs, multiple comparisons and orthogonal contrasts. Matrix concepts for linear models are taught as needed. Also offered in Juneau as demand warrants. Special fees apply. Prerequisites: STAT F200X [STAT S273-J] or STAT F300 or permission of instructor. (3+3)
STAT F402 Scientific Sampling (m)
3 Credits Offered Fall
Sampling methods, including simple random, stratified and systematic and one- and two-stage cluster sampling; estimation procedures, including ratio and regression methods; special area and point sampling procedures; optimum allocation. Adaptive and probability sampling; bootstrapping and basic mark-and-recapture. Special fees apply. Prerequisites: STAT F200X or STAT F300 or permission of instructor. (3+0)
STAT F461 Applied Multivariate Statistics (m)
3 Credits
Estimation and hypothesis testing, multivariate normality and its assessment, multivariate one and two sample tests, confidence regions, multivariate analysis of variance, discrimination and classification, principal components, factor analysis, clustering techniques and graphical presentation. Statistical computing packages utilized in assignments. Special fees apply. Prerequisites: STAT F401 or permission of instructor. (3+0)
STAT F480 Topics in Statistics (m)
1 Credit Offered As Demand Warrants
Short, intensive, selected topics of applied statistics. Example topics: nonlinear regression, logistic regression, repeated measures, the SAS language and the S-Plus package. Course may be repeated for credit if topic varies. Special fees apply. Prerequisites: STAT F200X or STAT F300; STAT F401 or equivalent. (1+0)
STAT F602 Experimental Design
3 Credits
Constructing and analyzing designs for experimental investigations; completely randomized, randomized block and Latin-square designs, split-plot design, incomplete block design, confounded factorial designs, nested designs, treatment of missing data, comparison of designs. Special fees apply. Prerequisites: STAT F401 or permission of instructor. (3+0)
STAT F605 Spatial Statistics
3 Credits
Stochastic processes and variograms. Geostatistics including kriging and spatial design of experiments. Point processes including model selection and K-functions. Lattice process models and image analysis. Computer-intensive statistical methods. Special fees apply. Prerequisites: STAT F401; MATH F200X-F202X or equivalent; or permission of instructor. (3+0)
STAT F611 Time Series
3 Credits
An applied course in time series and repeated measure analysis. Autoregression and moving average models. Estimation of parameters and tests. Prediction. Spectral analysis. Analysis of repeated measures data. Special fees apply. Prerequisites: STAT F401 or permission of instructor. (3+0)
STAT F621 Distribution-Free Statistics
3 Credits Offered Spring Even-numbered Years
Methods for distribution-free (nonparametric) statistical estimation and testing. These methods apply to many practical situations including small samples and non-Gaussian error structures. Univariate, bivariate, and multivariate tests will be presented and illustrated using a variety of applications and data sets. Special fees apply. Prerequisites: STAT F200X [STAT S273-J]. (3+0)
STAT F631 Categorical Data Analysis
3 Credits
Statistical methods designed for count and categorical data. Contingency tables. Logistic and related models. Loglinear models. Repeated categorical responses. Survival data. Special fees apply. Prerequisites: STAT F401 or permission of instructor. (3+0)
STAT F641 Bayesian Statistics
3 Credits Offered Fall Even-numbered Years
Bayes' Rule, univariate Bayesian models, conjugate models and noninformative priors. Multiparameter models. Hierarchical models, general linear model and mixed models. Study of posterior simulation techniques including Markov Chain Monte Carlo and the Gibbs Sampler. Will involve analysis of data sets using WinBUGs and R. Special fees apply. Prerequisites: MATH F201X; MATH F371-F408 or STAT F651; or permission of instructor. (3+0)
STAT F651 Statistical Theory I
3 Credits
Probability and distribution of random variables. Conditional probability and stochastic independence. Distributions of functions of random variables. Expected values. Limiting distributions. Distributions derived from the normal distribution. Designed to combine mathematical statistics with applications from a variety of fields. Students from any field of study with strong quantitative skills are encouraged to enroll. Special fees apply. Prerequisites: MATH F202X; MATH F314; previous statistics course; or permission of instructor. (3+0)
STAT F652 Statistical Theory II
4 Credits
Estimation of parameters. Efficiency and sufficiency. Hypothesis testing. The Neyman-Pearson paradigm and likelihood ratio tests. Data summaries. Bootstrap. Comparison of two samples. Linear least squares. Analysis of categorical data. Bayesian inference. Designed to combine mathematical statistics with applications from a variety of fields. Students from any field of study with strong quantitative skills are encouraged to enroll. Special fees apply. Prerequisites: STAT F651. (4+0)
STAT F653 Statistical Theory III -- Linear Models
3 Credits Offered Spring Even-numbered Years
Best linear unbiased estimation, Gauss-Markov theory and applications, maximum likelihood estimation for linear models, multivariate normal distributions, linear regression and analysis of variance, weighted regression, robust and nonlinear regression, logistic regression, Poisson regression, autoregressive models and the General Linear Model. Designed to combine mathematical statistics with applications from a variety of fields. Students from any field of study with strong quantitative skills are encouraged to enroll. Special fees apply. Prerequisites: STAT F651 or STAT F401; MATH F200X; MATH F201X; MATH F202X; MATH F314. (3+0)
STAT F654 Statistical Consulting Seminar
1 Credit
Introduction to the practice of statistical consulting and data analysis. Emphasis on interaction with researchers and identification of scientific and statistical issues relevant to the research problem. Includes regular class meetings as well as supervised meetings with researchers. Designed to combine mathematical statistics with applications from a variety of fields. Students from any field of study with strong quantitative skills are encouraged to enroll. May be repeated for a total of three credits. Special fees apply. Prerequisites: STAT F200X or STAT F300; STAT F401; and completion of or concurrent enrollment in STAT F651; STAT F652 or STAT F653; permission of instructor. (1+0)
STAT F661 Sampling Theory
3 Credits Offered Juneau As Demand Warrants
Statistical theory for sampling and sample surveys. Choice of method, power and sample size considerations, treatment of sampling and non-sampling biases. Sampling methods based on detectability. Adaptive sampling. Spatial sampling. Mark and recapture methods. The jackknife, the bootstrap and resampling plans. Special fees apply. Prerequisites: STAT F200X [STAT S273-J]; STAT F401; or permission of instructor. (3+0)