STAT
Statistics
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/documents/MHierarchy.pdf.
STAT 216Q INTRODUCTION TO STATISTICS STAT 217Q INTERMEDIATE STATISTICAL CONCEPTS STAT 226Q HONORS INTRODUCTION TO STATISTICS STAT 290R UNDERGRADUATE RESEARCH STAT 291 SPECIAL TOPICS STAT 332 STATISTICS FOR SCIENTISTS & ENGINEERS STAT 401 STATISTICS FOR RESEARCHERS STAT 408 STATISTICAL COMPUTING AND GRAPHICAL ANALYSIS STAT 410 METHODS FOR DATA ANALYSIS I STAT 412 METHODS FOR DATA ANALYSIS II STAT 421 PROBABILITY THEORY 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 490R UNDERGRADUATE RESEARCH STAT 491 SPECIAL TOPICS STAT 492 INDEPENDENT STUDY STAT 494 SEMINAR STAT 498 INTERNSHIP STAT 501 INTERMEDIATE PROBABILITY & STATISTICS STAT 502 INTERMEDIATE MATHEMATICAL STATISTICS STAT 505 LINEAR MODELS STAT 506 ADVANCED REGRESSION ANALYSIS STAT 509 STOCHASTIC PROCESSES STAT 510 STATISTICAL CONSULTING SEMINAR STAT 511 METHODS OF DATA ANALYSIS I STAT 512 METHODS OF DATA ANALYSIS II STAT 520 TOPICS IN APPLIED STATISTICS 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 576 INTERNSHIP STAT 575 RESEARCH OR PROFESSIONAL PAPER/PROJEC STAT 578 RESPONSE SURFACE METHODOLOGY STAT 589 GRADUATE CONSULTATION STAT 590 MASTER'S THESIS STAT 591 SPECIAL TOPICS STAT 592 INDEPENDENT STUDY STAT 594 SEMINAR STAT 598 INTERNSHIP STAT 689 DOCTORAL READING & RESEARCH STAT 690 DOCTORAL THESIS
STAT 216Q INTRODUCTION TO STATISTICS
F,S,Su 3 cr. LEC 3
PREREQUISITE: C- or better in any 100 level or above M 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 INTRODUCTION TO 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 290R UNDERGRADUATE RESEARCH
F,S,Su 1 - 8 cr. IND
PREREQUISITE: Consent of department head.
-- Directed undergraduate research. Course will address responsible
conduct of research.
STAT 291 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 332 STATISTICS FOR SCIENTISTS &
ENGINEERS
F,S 3 cr. LEC 3
PREREQUISITE: M 172.
-- Methods of estimation, collection, analysis and display of quantitative
information, continuous and discrete random variables, families of probability
distributions, hypothesis testing, regression, ANOVA.
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 408 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 410 METHODS FOR DATA ANALYSIS I
F,S 3 cr LEC 3.
PREREQUISITE: M 161, and either STAT 217, STAT 332, or STAT 401.
-- Introduction 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 statistical
thinking, appropriate inference, interpretation of results, and writing.
STAT 412 METHODS FOR DATA ANALYSIS II
S 3 cr. LEC 3
PREREQUISITE: STAT 410.
-- Continuation of STAT 410/STAT 511 to cover principles of experimental
design, multi-factor ANOVA, repeated measures, logistic regression,
Poison log-linear regression, and introduces to multivariate and time
series analyses, with an emphasis on statistical thinking, appropriate
inference and interpretation, and writing.
STAT 421 PROBABILITY THEORY
F 3 cr. LEC 3
PREREQUISITE: M 273.
-- 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.
STAT 422 MATHEMATICAL STATISTICS
S 3 cr. LEC 3
PREREQUISITE: STAT 421.
-- Senior capstone course. Introduction to the theory of point estimation,
interval estimation, and hypothesis testing.
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
measures 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 412.
-- 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 490R UNDERGRADUATE RESEARCH
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. Course
will address responsible conduct of research.
STAT 491 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 492 INDEPENDENT STUDY
F,S,Su Maximum 6 cr.
PREREQUISITE: Junior standing, consent of instructor, and approval of department head.
-- Directed research and study on an individual basis.
STAT 494 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 498 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 501 INTERMEDIATE PROBABILITY &
STATISTICS
F 3 cr. LEC 3
PREREQUISITE: STAT 422 or M 382.
-- Families of probability distributions, distributions of functions
of random variables, limiting distributions, order statistics. Cross-listed
with M 501.
STAT 502 INTERMEDIATE MATHEMATICAL STATISTICS
STAT 505 LINEAR MODELS
F 3 cr. LEC 3
PREREQUISITE: STAT 502 or M 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 509 STOCHASTIC PROCESSES
S alternate years, to be offered even years 3 cr. LEC 3
PREREQUISITE: STAT 421.
-- Conditional probability theory, discrete and continuous time markov
chains including birth and death processes and long run behavior; Poisson
processes; queueing systems; system reliability. Cross-listed with M
509.
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 511 METHODS OF DATA ANALYSIS I
F,S 3 cr. LEC 3 cr.
PREREQUISITE: M 161 and either STAT 217, STAT 332, or STAT 401.
-- Introduction 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 statistical
thinking, appropriate inference, interpretation of results, and writing.
STAT 512 METHODS OF DATA ANALYSIS II
S 3 cr. LEC 3 cr.
PREREQUISITE: STAT 410/STAT 511 (co-convened).
-- Continuation of STAT 410/STAT 511 to cover principles of experimental
design, multi-factor ANOVA, repeated measures, logistic regression,
Poison log-linear regression, and introduces to multivariate and time
series analyses, with an emphasis on statistical thinking, appropriate
inference and interpretation, and writing.
STAT 520 TOPICS IN APPLIED STATISTICS
F alternate years,offered in even years 3 cr. LEC 3
PREREQUISITE: STAT 422 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 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 421 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 422 or STAT 502 or M 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 422, 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 422 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 or M 502 and either M 382, M 505, or M 547.
-- Sufficiency, completeness, ancillary statistics, invariance, likelihood-based
inference, large sample theory, Edgeworth and saddlepoint approximations.
STAT 575 RESEARCH OR PROFESSIONAL PAPER/PROJECT
F,S,Su 1-4 cr. IND 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 589 GRADUATE CONSULTATION
F,S,Su 3 cr. IND 3
PREREQUISITE: Master's standing.
-- 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 591 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 592 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 594 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 598 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 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.
