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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: http://www.math.montana.edu/undergrad/Math_Hierarchy.pdf
STAT 216Q ELEMENTARY STATISTICS
STAT 217Q INTERMEDIATE STATISTICAL CONCEPTS
STAT 226Q HONORS ELEMENTARY STATISTICS
STAT 280 SPECIAL TOPICS
STAT 289R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY INSTRUCTION
STAT 290R UNDERGRADUATE RESEARCH/CREATIVE ACTIVITY
STAT 332 STATISTICS FOR SCIENTISTS & ENGINEERS
STAT 338 STATISTICAL COMPUTING AND GRAPHICAL ANALYSIS
STAT 400 SEMINAR
STAT 401 STATISTICS FOR RESEARCHERS
STAT 410 METHODS FOR DATA ANALYSIS I
STAT 412 METHODS FOR DATA ANALYSIS II
STAT 421 PROBABILITY
STAT 422 MATHEMATICAL STATISTICS
STAT 431 NONPARAMETRIC STATISTICS
STAT 436 INTRODUCTION TO TIME SERIES ANALYSIS
STAT 437 INTRODUCTION TO APPLIED MULTIVARIATE 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 536 INTRODUCTION TO TIME SERIES 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.
-- Traditional and robust estimates of location and variability, fundamentals of probability theory, confidence intervals, and tests of hypothesis for normal distributions.
STAT 217Q 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;
analysis of variance;
F-tests, correlation, regression,
contingency tables. Statistical
analysis using the computer.
STAT 226Q HONORS ELEMENTARY STATISTICS
S 3 cr. LEC 3
PREREQUISITE: Enrollment in the MSU Honors Program or consent of instructor.
-- Honors section of STAT 216. Topic coverage parallels STAT 216 but with greater emphasis on applications, data analysis and interpretation, statistical computing, and statistics in the media.
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 338 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 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 METHODS FOR DATA ANALYSIS I
F 3 cr LEC 3.
PREREQUISITE:
One of the following: STAT 332, or STAT 401 or STAT 217 and MATH 170.
-- Intro to statistical inference and design, t-tools, non-parametric alternatives, one-way ANOVA, simple linear regression, multiple linear regression, and variable selection procedures, with an emphasis on scope of inference and interpretation of results.
STAT 412 METHODS FOR DATA ANALYSIS II
S 3 cr. LEC 3
PREREQUISITE: STAT 410.
-- Two-way ANOVA, studies with no replication, serial correlation, repeated measures, Intro to multivariate analysis, principles of experimental design, factorial and blocked designs, comparisons of proportions or odds, logistic regression, Poisson log-linear regression.
STAT 421 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 422 MATHEMATICAL STATISTICS
S 3 cr. LEC 3
PREREQUISITE: STAT 421 or MATH 421.
-- 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
even years 3 cr. LEC 3
PREREQUISITE: One of the following: STAT 217, STAT 332, or STAT 401.
-- 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. Emphasis on methods and interpretation rather than theory.
STAT 436 INTRODUCTION TO TIME SERIES ANALYSIS
F alternate years, to be offered even years 3 cr. LEC 3
PREREQUISITE: STAT 410.
-- An introduction to time series analysis considering
time series regression, autoregressive, moving average,
and ARIMA models, time series model building, estimation,
and forecasting, and basic frequency domain methods.
STAT 437 INTRODUCTION TO APPLIED MULTIVARIATE ANALYSIS
S alternate years, to be offered
odd years 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 439 INTRODUCTION TO CATEGORICAL DATA ANALYSIS
S alternate years, to be offered even years 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, simple random sampling, stratified random sampling, systematic sampling, cluster sampling.
STAT 448 MIXED EFFECTS MODELS
F alternate years, offered in odd years 3 cr. LEC 3
PREREQUISITE: STAT 410.
-- 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 (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 3 cr. LEC 3
PREREQUISITE: STAT 424 or MATH 362.
-- Families of probability distributions, distributions of functions of random variables, limiting distributions, order statistics. Cross-listed with MATH 501.
STAT 502 INTERMEDIATE MATHEMATICAL STATISTICS
S 3 cr LEC 3
PREREQUISITE: STAT 501.
-- Estimation, likelihood inference, statistical hypothesis tests, sufficient statistics, exponential families, Bayesian statistics. Cross-listed with MATH 502.
STAT 505 LINEAR MODELS
F 3 cr. LEC 3
PREREQUISITE: STAT 502.
-- 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 3 cr. LEC 3
PREREQUISITE: STAT 505.
-- Applications of linear models using statistical packages; detecting and dealing with violations of assumptions including nonconstant variance, nonnormality, and collinearity; mixed effects models.
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,offered in even years 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 even years 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 even years 3 cr.LEC 3
PREREQUISITE: STAT 410.
-- 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 even years 3 cr. LEC 3
PREREQUISITE: STAT 410.
-- 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 odd years 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 WMA charts, process capability analysis, reliability statistics, accelerated testing.
STAT 532 BAYESIAN DATA ANALYSIS
F alternate years, to be offered odd years 3 cr. LEC 3
PREREQUISITE: STAT 424 or 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 odd years 3 cr. LEC 3
PREREQUISITE: STAT 410 and STAT 424, 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 536 INTRODUCTION TO TIME SERIES ANALYSIS
F alternate years, to be offered even years 3 cr. LEC 3
PREREQUISITE: STAT 410 and consent of the instructor.
-- An introduction to time series analysis considering time series regression, autoregressive, moving average, and ARIMA models, time series model building, estimation, and forecasting, and basic frequency domain methods.
STAT 537 MULTIVARIATE ANALYSIS I
S alternate years, to be offered even years 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 even years 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 odd years 3 cr. LEC 3
PREREQUISITE: STAT 424 and STAT 410.
-- 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 even years 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
S 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 odd years 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. IND
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.
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