STAT
Statistics
Department of Mathematical Sciences
(406) 994-3601
The Department of Mathematical Sciences enforces prerequisites. By University policy, in order for any course to serve as the prerequisite you must earn a "C-" or better. In addition to the specific prerequisite courses listed, students in 100 level math courses and STAT 216 may also meet the prerequisite with the appropriate Math ACT, Math SAT, or Math Placement Exam score. Specific levels and scores for these courses can be found at: www.math.montana.edu/undergrad/prereq_flow.html
STAT 216Q ELEMENTARY STATISTICS STAT 217 INTERMEDIATE STATISTICAL CONCEPTS STAT 280 SPECIAL TOPICS STAT 289R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY INSTRUCTION STAT 290R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY STAT 332 STATISTICS FOR SCIENTISTS & ENGINEERS STAT 400 SEMINAR STAT 401 STATISTICS FOR RESEARCHERS STAT 410 APPLIED MULTIPLE REGRESSION STAT 412 ANALYSIS OF VARIANCE & DESIGN OF EXPERIMENTS STAT 420 PROBABILITY STAT 424 MATHEMATICAL STATISTICS STAT 431 NONPARAMETRIC STATISTICS STAT 437 INTRODUCTION TO APPLIED MULTIVARIATE ANALYSIS STAT 438 STATISTICAL COMPUTING AND GRAPHICAL ANALYSIS STAT 439 INTRODUCTION TO CATEGORICAL DATA ANALYSIS STAT 446 SAMPLING STAT 448 MIXED EFFECTS MODELS STAT 470 INDEPENDENT STUDY STAT 476 INTERNSHIP STAT 480 SPECIAL TOPICS STAT 489R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY INSTRUCTION STAT 490R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY STAT 500 SEMINAR STAT 501 INTERMEDIATE PROBABILITY & STATISTICS STAT 502 INTERMEDIATE MATHEMATICAL STATISTICS STAT 505 LINEAR MODELS STAT 506 ADVANCED REGRESSION ANALYSIS STAT 510 STATISTICAL CONSULTING SEMINAR STAT 520 TOPICS IN APPLIED STATISTICS STAT 522 STOCHASTIC PROCESSES STAT 524 BIOSTATISTICS STAT 526 EXPERIMENTAL DESIGN STAT 528 STATISTICAL QUALITY CONTROL STAT 532 BAYESIAN DATA ANALYSIS STAT 534 SPATIAL DATA ANALYSIS STAT 537 MULTIVARIATE ANALYSIS I STAT 538 MULTIVARIATE ANALYSIS II STAT 539 GENERALIZED LINEAR MODELS STAT 550 ADVANCED MATHEMATICAL STATISTICS STAT 570 INDEPENDENT STUDY STAT 575 RESEARCH OR PROFESSIONAL PAPER/PROJECT STAT 576 INTERNSHIP STAT 578 RESPONSE SURFACE METHODOLOGY STAT 580 SPECIAL TOPICS STAT 589 GRADUATE CONSULTATION STAT 590 MASTER'S THESIS STAT 689 DOCTORAL READING & RESEARCH STAT 690 DOCTORAL THESIS
STAT 216Q ELEMENTARY STATISTICS
F,S,Su 3 cr. LEC 3
PREREQUISITE: C- or better in any 100 level or above MATH course, or Math Placement Test within the past 12 months.
-- Conventional notation and equations are used to explain traditional and robust estimates of location and variability, fundamentals of probability theory, confidence intervals, and tests of hypothesis for normal distributions.
STAT 217 INTERMEDIATE STATISTICAL CONCEPTS
F,S,Su 3 cr. LEC 3
PREREQUISITE: STAT 216.
-- One- and two-sample tests and associated confidence intervals for means and proportions; one-way analysis of variance; F-tests, correlation, regression, contingency tables. Statistical analysis using the computer.
STAT 280 SPECIAL TOPICS
On Demand 1 - 4 cr. Maximum 12 cr.
PREREQUISITE: None required but some may be determined necessary.
-- Courses not required in any curriculum for which there is a particular one-time need, or given on a trial basis to determine acceptability and demand before requesting a regular course number.
STAT 289R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY INSTRUCTION
F,S,Su 1 - 2 cr. RCT may be repeated. Maximum 4 cr.
COREQUISITE: STAT 290.
-- Classroom instruction associated with directed undergraduate research and creative activity projects.
STAT 290R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY
F,S,Su 1 - 8 cr. IND
PREREQUISITE: Consent of department head.
-- Directed undergraduate research.
STAT 332 STATISTICS FOR SCIENTISTS & ENGINEERS
F,S 3 cr. LEC 3
PREREQUISITE: MATH 182.
-- Methods of estimation, collection, analysis and display of quantitative information, continuous and discrete random variables, families of probability distributions, hypothesis testing, regression, ANOVA.
STAT 400 SEMINAR
On Demand 1 cr. SEM 1 Maximum 4 cr.
PREREQUISITE: Junior standing and as determined for each offering.
-- Topics offered at the upper division level which are not covered in regular courses. Students participate in preparing and presenting material.
STAT 401 APPLIED METHODS IN STATISTICS
F,S 3 cr. LEC 3
PREREQUISITE: Graduate standing and STAT 216. This course is intended for graduate students not majoring in a mathematical science.
-- Graphical techniques, data collection plans, populations, samples, and sampling distributions, inferences on means and proportions of one and two populations, analysis of variance for one-way classifications and multiple comparisons, simple linear regression.
STAT 410 APPLIED MULTIPLE REGRESSION
F,S 3 cr LEC 3.
PREREQUISITE:
One of the following: STAT 217, STAT 332, or STAT 401.
-- Linear regression analysis with one response variable and one or more predictor variables. Statistical inference, diagnostics, and remedial measures, and model building methods are discussed.
STAT 412 ANALYSIS OF VARIANCE & DESIGN OF EXPERIMENTS
F,S 3 cr. LEC 3
PREREQUISITE:
One of the following: STAT 217, STAT 332, or STAT 401.
-- One way, two-way and higher-way layouts ANOVA; interaction, fixed, random and mixed effects; completely randomized design, randomized complete block design, Latin square design and nested designs.
STAT 420 PROBABILITY
F 3 cr. LEC 3
PREREQUISITE: MATH 224.
-- Fundamentals of probability; discrete and continuous random variables; expected value; variance; joint, marginal, and conditional distributions; conditional expectations; applications; simulation; central limit theorem, order statistics. Also, listed as MATH 430.
STAT 424 MATHEMATICAL STATISTICS
S 3 cr. LEC 3
PREREQUISITE: STAT 420 or MATH 430.
-- Senior capstone course. Introduction to the theory of point estimation, interval estimation, and hypothesis testing. Also, listed as MATH 434.
STAT 431 NONPARAMETRIC STATISTICS
F alternate years, to be offered 2007 3 cr. LEC 3
PREREQUISITE: One of the following: STAT 217, STAT 332, or STAT 401.
-- The goal of the course is to train students to use and understand nonparametric statistical methods including, but not limited to, the sign test, permutation tests, Wilcoxon and Mann-Whitney tests, the Kruskal Wallis test, Spearman and Kendall's meaures of association, bootstrap techniques, and smoothing methods for model fitting. The emphasis will be on methods and their interpretation rather than theory.
STAT 437 INTRODUCTION TO APPLIED MULTIVARIATE ANALYSIS
S alternate years, to be offered 2007 3 cr. LEC 3
PREREQUISITE: STAT 410.
-- Classic multivariate methods, including but not limited to principal components analysis, canonical correlation analysis, factor analysis, discrimination and classification methods, and cluster analysis.
STAT 438 STATISTICAL COMPUTING AND GRAPHICAL ANALYSIS
S 3 cr. LEC 3
PREREQUISITE: One of the following: STAT 217, STAT 332, or STAT 401.
-- Introduction to statistical packages SAS and S, including data importation, graphing, and basic analysis. Emphasis on use of graphical displays to explore, understand and present data.
STAT 439 INTRODUCTION TO CATEGORICAL DATA ANALYSIS
S alternate years, to be offered 2008 3 cr. LEC 3.
PREREQUISITE: STAT 410.
-- Contingency table analysis, Poisson regression, logistic regression, log-linear models, multicategory logit models
STAT 446 SAMPLING
F 3 cr. LEC 3
PREREQUISITE: One of the following: STAT 217, STAT 332, or STAT 401.
-- Probability sampling, sources of bias and uncertainty, survey design, methods for the natural sciences and business, simple random sampling, stratified random sampling, systematic sampling, cluster sampling.
STAT 448 MIXED EFFECTS MODELS
F alternate years, to be offerd 2007 3 cr. LEC 3
PREREQUISITE: STAT 410 or 412.
-- In depth analysis of random, fixed and mixed effects models including use of stat software and interpretation of results. Emphasis on observations correlated in time (repeated measures) and space, and on random coefficients models (e.g., growth curves).
STAT 470 INDEPENDENT STUDY
F,S,Su 1-3 cr. IND Maximum 6 cr.
PREREQUISITE: Junior standing, consent of instructor, and approval of department head.
-- Directed research and study on an individual basis.
STAT 476 INTERNSHIP
F,S,Su 2-12 cr. IND
PREREQUISITE: Junior standing, consent of instructor, and approval of department head.
-- An individualized assignment arranged with an agency business, or other organization to provide guided experience in the field.
STAT 480 SPECIAL TOPICS
On Demand 1 - 4 cr. Maximum 12 cr.
PREREQUISITE: Course prerequisites as determined for each offering.
-- Course not required in any curriculum for which there is a particular one-time need, or given on a trial basis to determine acceptability and demand before requesting a regular course number.
STAT 489R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY INSTRUCTION
F,S,Su 1 - 2 cr. RCT May be repeated. Max 4 cr.
COREQUISITE: STAT 490.
-- Classroom instruction associated with directed undergraduate research/creative activity projects.
STAT 490R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY
F,S,Su 1 - 6 cr. IND May be repeated. Max 12 cr.
PREREQUISITE: Junior standing in statistics and consent of department head.
-- Directed undergraduate research/creative activity which may culminate in a research paper, journal article, or undergraduate thesis.
STAT 500 SEMINAR
F,S,Su 1 cr. SEM 1 Maximum 6 cr.
PREREQUISITE: Graduate standing or seniors by petition. Course prerequisites as determined for each offering.
-- Topics offered at the graduate level which are not covered in regular courses. Students participate in preparing and presenting discussion material.
STAT 501 INTERMEDIATE PROBABILITY & STATISTICS
F alternate years, to be offered 2006 3 cr. LEC 3
PREREQUISITE: STAT 424.
-- Families of distributions, distributions of functions of random variables, limiting distributions, order statistics.
STAT 502 INTERMEDIATE MATHEMATICAL STATISTICS
S alternate years, to be offered 2007 3 cr LEC 3
PREREQUISITE: STAT 501.
-- Estimation, likelihood inference, statistical hypothesis tests, sufficient statistics, exponential families, Bayesian statistics.
STAT 505 LINEAR MODELS
F alternate years, to be offered 2007 3 cr. LEC 3
PREREQUISITE: MATH 333 or MATH 441, STAT 424 and either STAT 410 or STAT 412.
-- Special matrix theory for statistics, multivariate normal distribution, distributions of quadratic forms, estimation and testing for the general linear model, one-way and two-way classification models, contrasts (main effect, simple effect and interaction), multiple comparison techniques.
STAT 506 ADVANCED REGRESSION ANALYSIS
S alternate years, to be offered 2008 3 cr. LEC 3
PREREQUISITE: STAT 505.
-- Applications of linear models using statistical packages S and SAS; detecting and dealing with violations of assumptions including nonconstant variance, nonnormality, and collinearity; influence in the general linear model.
STAT 510 STATISTICAL CONSULTING SEMINAR
F,S 1 cr. SEM 1 Maximum 6 cr.
PREREQUISITE: Graduate standing in statistics.
-- Seminar discussions of issues and cases in statistical consulting. Supervised practice in consulting with researchers from various disciplines.
STAT 520 TOPICS IN APPLIED STATISTICS
F alternate years, to be offered 2006 3 cr. LEC 3
PREREQUISITE: STAT 424 and consent of instructor.
-- Current topics selected from computational statistics, time series and spatial statistics, decision theory, sampling, linear and mixed models, and multivariate statistics.
STAT 522 STOCHASTIC PROCESSES
S alternate years, to be offered 2008 3 cr. LEC 3
PREREQUISITE: STAT 420.
-- Conditional probability theory, discrete and continuous time markov chains including birth and death processes and long run behavior; Poisson processes; queueing systems; system reliability.
STAT 524 BIOSTATISTICS
F alternate years, to be offered 2006 3 cr. LEC 3
PREREQUISITE: STAT 410 or STAT 412.
-- Statistical methodology applicable to vital statistics, life tables and survival curves, clinical trials, epidemiologic investigations, and cause-effect studies.
STAT 526 EXPERIMENTAL DESIGN
F alternate years, to be offered 2006 3 cr. LEC 3
PREREQUISITE: STAT 410 or STAT 412.
-- Randomization, multiple comparisons and contrasts, balanced complete and incomplete blocking designs, Latin square designs, factorial designs, nested designs, split-plot designs,random and fixed effects.
STAT 528 STATISTICAL QUALITY CONTROL
F alternate years, to be offered 2007 3 cr. LEC 3
PREREQUISITE: STAT 420 or an equivalent transfer course in probability theory.
-- Modeling process quality, traditional SQC tools, control charts for variable and attribute data, CUSUM and UWMA charts, process capability analysis, reliability statistics, accelerated testing.
STAT 532 BAYESIAN DATA ANALYSIS
F alternate years, to be offered 2007 3 cr. LEC 3
PREREQUISITE: STAT 424 and STAT 502.
-- Decision theory including loss functions, minimax criteria, shrinkage estimators, Bayesian data analysis and applications including posterior simulation via markov chain monte carlo.
STAT 534 SPATIAL DATA ANALYSIS
S alternate years, to be offered 2007 3 cr. LEC 3
PREREQUISITE: STAT 410 or STAT 420, or equivalent, or consent of the instructor.
-- Statistical methods of spatial data analysis, stationary and nonstationary random fields, covariance structures, geostatistical models and analysis, spatial point process models and analysis, spatial lattice models and analysis.
STAT 537 MULTIVARIATE ANALYSIS I
S alternate years, to be offered 2008 3 cr. LEC 3
PREREQUISITE: STAT 505.
-- Multivariate graphical methods, Wishart distribution, Hotellings T-squared , multivariate regression, multivariate analysis of variance and covariance, analysis of repeated measures, principal components analysis, factor analysis, canonical correlation, multivariate graphical displays, robust estimation discriminant and classification analysis, cluster analysis.
STAT 538 MULTIVARIATE ANALYSIS II
F alternate years, to be offered 2006 3 cr. LEC 3
PREREQUISITE: STAT 537.
-- Special topics in multivariate analysis including general latent variable methods, analysis of covariance structures, common principle components, robust and distribution free multivariate analysis.
STAT 539 GENERALIZED LINEAR MODELS
S alternate years, to be offered 2007 3 cr. LEC 3
PREREQUISITE: STAT 501 or STAT 506.
-- Analysis of categorical data including logistic regression, log-linear models, analysis of deviance, extrabinomial variation, quasi-likelihood.
STAT 550 ADVANCED MATHEMATICAL STATISTICS
S alternate years, to be offered 2008 3 cr. LEC 3
PREREQUISITE: STAT 502 and either MATH 362, MATH 505, or MATH 547.
-- Sufficiency, completeness, ancillary statistics, invariance, likelihood-based inference, large sample theory, Edgeworth and saddlepoint approximations.
STAT 570 INDEPENDENT STUDY
F,S,Su 1-3 cr. IND Maximum 6 cr.
PREREQUISITE: Graduate standing, consent of instructor, approval of department head and Dean of Graduate Studies.
-- Directed research and study on an individual basis.
STAT 575 RESEARCH OR PROFESSIONAL PAPER/PROJECT
F,S,Su 1-4 cr. LEC Maximum 6 cr.
PREREQUISITE: Graduate standing.
-- A research or professional paper or project dealing with a topic in the field. The topic must have been mutually agreed upon by the student and his or her major advisor and graduate committee.
STAT 576 INTERNSHIP
F,S,Su 2 - 12 cr. IND Maximum credits unlimited.
PREREQUISITE: Graduate standing, consent of instructor and approval of department head.
-- An individualized assignment arranged with an agency, business or other organization to provide guided experience in the field.
STAT 578 RESPONSE SURFACE METHODOLOGY
S alternate years, to be offered 2007 3 cr. LEC 3
PREREQUISITE: STAT 526.
-- Diagnostics; fractional-factorial designs; method of steepest ascent; canonical analysis; response optimization; ridge analysis; response surface design including central composite designs, orthogonal designs, rotatable designs, and optimal designs; mixture designs.
STAT 580 SPECIAL TOPICS
On Demand 1 - 4 cr. Maximum 12 cr.
PREREQUISITE: Upper division courses and others as determined for each offering.
-- Courses not required in any curriculum for which there is a particular one time need, or given on a trial basis to determine acceptability and demand before requesting a regular course number.
STAT 589 GRADUATE CONSULTATION
F,S,Su 3 cr. TUT
PREREQUISITE: Master's standing and approval of the Dean of Graduate Studies.
-- This course may be used only by students who have completed all of their coursework (and thesis, if on a thesis plan) but who need additional faculty or staff time.
STAT 590 MASTER'S THESIS
F,S,Su 1 - 10 cr. IND Maximum credits unlimited.
PREREQUISITE: Master's standing.
STAT 689 DOCTORAL READING & RESEARCH
F,S,Su 3 - 5 cr. IND Maximum 15 cr.
PREREQUISITE: Doctoral standing.
-- This course may be used by doctoral students who are reading research publications in the field in preparation for doctoral thesis research.
STAT 690 DOCTORAL THESIS
F,S,Su 1-10 cr. IND Maximum credits unlimited.
PREREQUISITE: Doctoral standing.
