MSU 2010-2012 Catalog > Statistics Courses

## 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.

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STAT 216Q  INTRODUCTION TO STATISTICS

STAT 217Q  INTERMEDIATE STATISTICAL CONCEPTS

STAT 226Q  HONORS INTRODUCTION TO STATISTICS

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 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 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 576   INTERNSHIP

STAT 575   RESEARCH OR PROFESSIONAL PAPER/PROJEC

STAT 578   RESPONSE SURFACE METHODOLOGY

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

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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.

F,S,Su 1 - 8 cr. IND

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).

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.

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.
-- 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.

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.
-- 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
-- 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.

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.
-- 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.
-- 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.

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