## Course Descriptions

Degrees and Programs Index

# Statistics

STAT 200 (3 Credits) Fall, Spring
Elementary Probability and Statistics (3+0)
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 and nonparametric methods. Materials fee: \$10.00. (Prerequisites: MATH 107X, 161, 181 or consent of instructor)

STAT 300 (3 Credits) Spring
Statistics (3+0)
A calculus-based course emphasizing applications. Topics include probability, point and interval estimation 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 200 and 300 to meet the requirement of a year's sequence course in statistics. (Prerequisite: MATH 200, 262, 272 or equivalent.)

STAT 401 (4 Credits) Fairbanks, Fall, Spring
() Juneau, As Demand Warrants
Regression and Analysis of Variance (3+3)
A thorough study of multiple regression including multiple and partial correlation, the extra sum of squares principle, indicator variables, and model selection techniques. Analysis of variance and covariance for multifactor studies in completely random and randomized complete block designs, multiple comparisons and orthogonal contrasts. Materials fee: \$10.00. (Prerequisite: STAT 200 [STAT 373-J] or STAT 300 or consent of the instructor.)

STAT 402 (3 Credits) Fall
Scientific Sampling (3+0)
Sampling methods, including simple random, stratified and systematic; estimation procedures, including ratio and regression methods; special area and point sampling procedures; optimum allocation. Materials fee: \$10.00. (Prerequisite: STAT 200 or 300 or consent of the instructor.)

STAT 461 (3 Credits) Alternate Spring
Applied Multivariate Statistics (3+0)
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. Materials fee: \$10.00. (Prerequisite: STAT 401 or consent of instructor. Next offered: 1999 - 2000.)

STAT 480 (1 Credit) Fall, Spring
Topics in Statistics (1+0)
Short, intensive, selected topics of applied statistics. Example topics: nonlinear regression, logistic regression, repeated measures, the SAS language, and the SPLUS package. (Prerequisite: Two STAT courses, or permission of instructor.)

STAT 602 (3 Credits) Fairbanks, Alternate Fall
Experimental Design (3+0) Juneau, As Demand Warrants
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. Materials fee: \$10.00. (Prerequisites: STAT 401 or permission of instructor. Next offered: 2000-01.)

STAT 605 (3 Credits) Fairbanks, Alternate Spring
Spatial Statistics (3+0)
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. (Prerequisite: STAT 401 and MATH 200-202 or equivalent, or permission of instructor. Next offered: 1999 - 2000.)

STAT 611 (3 Credits) Fairbanks, Alternate Fall
Time Series (3+0)
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. (Prerequisite: STAT 401 or permission of instructor. Next offered: 2000-01.)

STAT 621 (3 Credits) Alternate Spring
Distribution-Free Statistics (3+0)
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. (Prerequisite: STAT 301 [Juneau STAT 373], STAT 401 recommended. Next Offered: 1999 - 2000.)

STAT 631 (3 Credits) Alternate Fall
Categorical Data Analysis (3+0)
Statistical methods designed for count and categorical data. Contingency tables. Logistic and related models. Loglinear models. Repeated categorical responses. Survival data. (Prerequisite: STAT 401 or permission of Instructor.) Next Offered: 1999 - 2000.

STAT 640 (3 Credits) As Demand Warrants
Exploratory Data Analysis (2+2)
Quantitative and graphical methods for explaining data and for presenting data to others. Computer-aided detection and analysis of patterns in data. Methods for analysis of patterns in data. Methods for validating the assumptions of common statistical tests and models. Use of computer graphics in statistical analysis. (Prerequisite: STAT 200 [Juneau STAT 273]. STAT 401 recommended, or permission of instructor.)

STAT 651 (3 Credits) Fairbanks, Alternate Fall
Statistical Theory I (3+0)
Probability, 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 202, MATH 314, previous statistics course, or permission of instructor. Next offered: 2000-01.)

STAT 652 (4 Credits) Fairbanks, Alternate Spring
Statistical Theory II
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. (Prerequisite: STAT 651. Next offered: 2000-01.)

STAT 653 (3 Credits) Fairbanks, Alternate Fall
Statistical Theory III -- Linear Models (3+0)
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, and autoregressive models. 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. (Prerequisite: STAT 651 and STAT 652. Next offered: 1999 - 2000.)

STAT 654 (1 Credit) Fairbanks, Alternate Spring
Statistical Consulting Seminar (1+0)
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. (Prerequisites: STAT 200/300, STAT 401, and completion of or concurrent enrollment in STAT 651, 652 or 653 and permission of instructor. Next offered: 2000-01.)

STAT 661 (3 Credits) Alternate Spring
Sampling Theory (3+0) 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. (Prerequisite: STAT 200 [Juneau STAT 273]. STAT 401 recommended, or permission of instructor. Next Offered: 2000 - 01.)

STAT 680 (4 Credits) Alternate Fall
Data Analysis in Biology (2+3)
(Cross-listed with BIOL 680 and WLF 680)
Biological applications of nonparametric statistics, including tests based on binomial and Poisson distributions, analysis of two-way and multiway contingency tables, and tests based on ranks; multivariate statistics, including principle component analysis, ordination techniques, cluster analysis, and discriminate analysis; and time-series analyses. Introduction to the use of the computer, and use of statistical packages. Each student will analyze a data set appropriate to the student's research interests. (Prerequisites: STAT 300, 401 and either graduate standing in a biologically oriented field or permission of instructor.) Next Offered: 1999 - 2000.

Note: The following courses are statistical in orientation. A course description and listing of prerequisites may be found in the appropriate departmental course listings.

ANTH 424/624 -- Analytical Techniques

BA 360 -- Operations Management

GEOS 430 -- Statistical and Data Analysis Geology

ECON 227 -- Statistical Methods

ECON 626 -- Econometrics

ESM 621 -- Operations Research

FISH 601 -- Quantitative Fisheries Science

MATH 371 -- Probability

MATH 408 -- Mathematical Statistics

PSY 250 -- Introduction to Statistics for Behavioral Sciences

WLF 621 -- Vertebrate Population Dynamics