## Statistics - STAT

**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. Prerequisites: MATH F151X; or MATH F122X; or placement; or permission of instructor. (3+0)

**STAT F300 Statistics**(m)

3 Credits

Offered Spring; Fall Odd-numbered Years

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 years sequence course in statistics. Prerequisites: MATH F222X or MATH F232X or MATH F251X or placement. (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. 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. Prerequisites: STAT F200X or STAT F300 or permission of instructor. (3+0)

**STAT F454 Statistical Consulting Seminar**

1 Credits

Offered Spring

Introduction to 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. Prerequisites: STAT F200X or STAT F300; STAT F401; and completion or concurrent enrollment in MATH F408; or permission of instructor. Stacked with STAT F654. (1+0)

**STAT F461 Applied Multivariate Statistics**(m)

3 Credits

Offered Spring Even-numbered Years

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. Prerequisites: STAT F401 or permission of instructor. (3+0)

**STAT F602 Experimental Design**

3 Credits

Offered Fall Even-numbered Years

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. Prerequisites: STAT F401 or permission of instructor. (3+0)

**STAT F605 Spatial Statistics**

3 Credits

Offered Spring Even-numbered Years

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. Prerequisites: STAT F401; MATH F251X; MATH F252X; MATH F253X or equivalent; or permission of instructor. (3+0)

**STAT F611 Time Series**

3 Credits

Offered Spring Odd-numbered Years

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. Prerequisites: STAT F401 or permission of instructor. (3+0)

**STAT F621 Distribution-Free Statistics**

3 Credits

Offered Fall Odd-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. Prerequisites: STAT F200X [STAT S273-J]. (3+0)

**STAT F631 Categorical Data Analysis**

3 Credits

Offered Fall Odd-numbered Years

Statistical methods designed for count and categorical data. Contingency tables. Logistic and related models. Log-linear models. Repeated categorical responses. Survival data. 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. Prerequisites: MATH F252X; MATH F371-F408 or STAT F651; or permission of instructor (3+0)

**STAT F642 Bayesian Decision Theory for Resource Management**

4 Credits

Offered Spring Even-numbered Years

Application of decision theory to problems in natural resources management. Students will learn to perform Bayesian calculations and uncomplicated decision analysis themselves. Prerequisites: FISH F621 or FISH F630; or permission of instructor. Cross-listed with FISH F642. (2+2)

**STAT F651 Statistical Theory I**

3 Credits

Offered Fall

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. Prerequisites: MATH F253X; MATH F314; previous statistics course; or permission of instructor. (3+0)

**STAT F652 Statistical Theory II**

4 Credits

Offered Spring Odd-numbered Years

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. 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. Prerequisites: STAT F651 or STAT F401; MATH F251X; MATH F252X; MATH F253X; MATH F314. (3+0)

**STAT F654 Statistical Consulting Seminar**

1 Credits

Offered Spring

Introduction to 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. Prerequisites: STAT F200X or STAT F300; STAT F401; and completion or concurrent enrollment in MATH F408; or permission of instructor. Stacked with STAT F454. (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. Prerequisites: STAT F200X [STAT S273-J]; STAT F401; or permission of instructor. (3+0)