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University of Montana Catalog 2025-2026

Statistics - Mathematics (STAT)

STAT 216 - Introduction to Statistics. 4 Credits.

Offered autumn and spring. Prereq., M 115 (preferred); or one of M 121, M 132, M 140, M 151, M 162 or M 171; or EdReady placement level 3; or M02-Maplesoft Algebra score >= 14; or ACT score of 23; or SAT score of 560 (with the new test); or ACT score of 21 and HS GPA 3.5; or SAT score of 530 and HS GPA 3.5. Introduction to major ideas of statistical inference. Emphasis is on statistical reasoning and uses of statistics.

Gen Ed Attributes: Math Competency

STAT 292 - Independent Study. 1-6 Credits.

(R-6) Offered intermittently. Guidance of an individual student in doing independent study on material not offered in a regular course.

STAT 342 - Probability and Simulation. 3 Credits.

Offered autumn and spring. Prereq., M 162 or M 172 or M 182. Probability, probability models and simulation, random variables, density functions, special distributions, and an introduction to statistical inference. Computer use integrated throughout.

STAT 421 - Probability Theory. 3 Credits.

Offered autumn. Prereq., M 273. STAT 342 is recommended. 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. Level: Undergraduate-Graduate

STAT 422 - Mathematical Statistics. 3 Credits.

Offered spring. Prereq., STAT 421. Introduction to the theory of point estimation, interval estimation, and hypothesis testing. Level: Undergraduate-Graduate

STAT 451 - Statistical Methods I. 3 Credits.

Offered autumn. May not be counted toward a major in mathematics except toward the mathematics education concentration. Intended primarily for non-mathematics majors who will be analyzing data. Graphical and numerical summaries of data, elementary sampling, designing experiments, probability as a model for random phenomena and as a tool for making statistical inferences, random variables, basic ideas of inference and hypothesis testing. Level: Undergraduate-Graduate

STAT 452 - Statistical Methods II. 3 Credits.

Offered spring. Prereq., STAT 451. Continuation of STAT 451. Multiple regression, experimental design, analysis of variance, other statistical models. Level: Undergraduate-Graduate

STAT 457 - Computer Data Analysis I. 1 Credit.

Offered autumn. Coreq., STAT 451. An introduction to software for doing statistical analyses. Intended primarily for students in STAT 451. Level: Undergraduate-Graduate

STAT 458 - Computer Data Analysis II. 1 Credit.

Offered spring. Coreq., STAT 452. Continuation of STAT 457. Intended primarily for students in STAT 452. Level: Undergraduate-Graduate

STAT 491 - Special Topics. 1-9 Credits.

(R-9) Offered autumn and spring. Experimental offerings of visiting professors, experimental offerings of new courses, or one time offerings of current topics. Level: Undergraduate-Graduate

STAT 542 - Applied Linear Models. 3 Credits.

Offered autumn even-numbered years. Prereq., STAT 422. Numerical and graphical data summaries, simple linear and multiple regression and analysis of variance, including estimation, hypothesis testing, residual analysis, diagnostics, and model-building strategies.  Use of the computer and real data sets integrated throughout. Level: Graduate

STAT 544 - Topics in Probability and Statistics. 3 Credits.

(R-12) Offered intermittently. Prereq., STAT 422. May include theory of nonparametric statistics, generalized linear models, stochastic processes or other topics chosen by the instructor. Level: Graduate

STAT 545 - Theory of Linear Models. 3 Credits.

Offered autumn odd-numbered years. Prereq., STAT 422. Multivariate normal distribution, distribution of quadratic forms, estimation and hypothesis testing in the full rank and less than full rank general linear models. Level: Graduate

STAT 640 - Graduate Seminar in Probability and Statistics. 1-12 Credits.

(R-12) Offered autumn and spring. A review and discussion of current research. Level: Graduate