BS in Statistics: Statistical Science Emphasis (57 hours*)
Program Requirements |
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- No more than three hours of D credit is allowed in major courses.
- Complete the following preparation core courses:
MATH 112 : Calculus 1.
(4:5:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp, Su |
| PREREQUISITE: | Math 110 and 111 or equivalent. |
| DESCRIPTION: | Differential and integral calculus: limits; continuity; the derivative and applications; extrema; the definite integral; fundamental theorem of calculus; L'Hopital's rule. |
| NOTE: | Honors also. |
MATH 113 : Calculus 2.
(4:5:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp, Su |
| PREREQUISITE: | Math 112 or equivalent. |
| DESCRIPTION: | Techniques and applications of integration; sequences, series, convergence tests, power series; parametric equations; polar coordinates. |
| NOTE: | Honors also. |
- Complete one course from the following:
STAT 221 : Principles of Statistics.
(3:3:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp, Su |
| PREREQUISITE: | Math 110 or equivalent. |
| DESCRIPTION: | Stemplots, boxplots, histograms, scatterplots; central tendency, variability; confidence intervals and hypothesis testing involving one and two means and proportions; contingency tables, regression; computer package. |
| NOTE: | Honors and Independent Study also. |
STAT 321 : Elements of Mathematical Statistics.
(3:3:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, Su |
| PREREQUISITE: | Math 113 or 119 or equivalent. |
| DESCRIPTION: | Probability, random variables, frequency distributions, estimation and tests of hypotheses from a theoretical standpoint. |
STAT 331 : Introduction to Bayesian Statistics.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W |
| PREREQUISITE: | Math 113. |
| DESCRIPTION: | The scientific method; conditional probability; Bayesian methods; models for proportions; densities for proportions; models for means; densities for means; regression analysis. |
STAT 332 : Quality Improvement for Industry.
(3:3:1)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp |
| PREREQUISITE: | Math 112 or 119. |
| DESCRIPTION: | Quality management philosophies (Deming, etc.) Strategies for continuous improvement. Graphical and numerical methods of data analysis. Process control charts. Design and analysis of experiments for process characterization and improvement. |
Note: Students who have passed the AP statistics exam or an introductory statistics course should not take Stat 221.
- Complete the following statistics core courses:
STAT 291 : Teaching Elementary Statistics in a Laboratory Setting.
(.5:0:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp, Su |
| PREREQUISITE: | Stat 221. |
| DESCRIPTION: | Supervised training and experience in teaching statistical concepts, managing lab experiences, using active learning strategies, and evaluating student performance. |
STAT 292 : Teaching Elementary Statistics in a Laboratory Setting.
(.5:0:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp |
| PREREQUISITE: | Stat 291. |
| DESCRIPTION: | Supervised training and experience in teaching statistical concepts, managing lab experiences, using learning activities, and evaluating student performance. |
STAT 336 : Statistical Methods 1.
(6:3:3)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W |
| PREREQUISITE: | Stat 221, Math 113. |
| DESCRIPTION: | Estimation and hypothesis testing, simple linear regression, multiple regression, subset selection procedures; residual, influence, and collinearity diagnostics. |
STAT 337 : Statistical Methods 2.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W, Sp |
| PREREQUISITE: | Stat 336. |
| DESCRIPTION: | Single-factor analysis of variance; multifactor analysis of variance; analysis of factor-level means; diagnostics; analysis of covariance; basic study design; random effects. |
- Complete the following:
MATH 214 : Calculus of Several Variables.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp, Su |
| PREREQUISITE: | Math 113; 343 or concurrent enrollment. |
| DESCRIPTION: | Partial differentiation, the Jacobian matrix, and integral theorems of vector calculus. |
MATH 343 : Elementary Linear Algebra.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp, Su |
| PREREQUISITE: | Math 112 or 119. |
| DESCRIPTION: | Linear systems, matrices, vectors and vector spaces, linear transformations, determinants, inner product spaces, eigenvalues, and eigenvectors. |
STAT 441 : Statistical Theory 1.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W |
| PREREQUISITE: | Math 214. |
| DESCRIPTION: | Axiomatic probability theory for discrete and continuous random variables; moment-generating functions; conditional probability; stochastic independence; transformations; limiting distributions; stochastic convergence; central limit theorem. |
STAT 442 : Statistical Theory 2.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W, Sp |
| PREREQUISITE: | Stat 441. |
| DESCRIPTION: | Sufficiency and completeness; point and interval estimation; hypothesis testing; Cramer-Rao inequality; some asymptotic results; Bayesian methods. |
- Complete 24 credit hours from the following, with at least 15 from the statistics list:
C S 142 : Introduction to Computer Programming.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp, Su |
| PREREQUISITE: | Knowledge of algebra. |
| DESCRIPTION: | Introduction to object-oriented program design and development. Principles of algorithm formulation and implementation. |
MATH 315 : Theory of Analysis.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W |
| PREREQUISITE: | Math 113, 190, 343. |
| DESCRIPTION: | Rigorous treatment of calculus of single and several variables. Topics include uniform continuity, metric spaces, Riemann integral, implicit function theorem, and integral theorems of vector calculus. |
MATH 316 : Theory of Analysis.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W |
| PREREQUISITE: | Math 315. |
| DESCRIPTION: | Rigorous treatment of calculus of single and several variables. Topics include uniform continuity, metric spaces, Riemann integral, implicit function theorem, and integral theorems of vector calculus. |
MATH 480 : Mathematical Models.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | On demand |
| PREREQUISITE: | Math 214, 334, 343, 410. |
| DESCRIPTION: | Construction, solution, and interpretation of discrete and continuous models applied to problems in the physical, natural, and social sciences. |
STAT 224 : Statistical Computing 1.
(2:2:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F 2nd block; W 2nd block. |
| PREREQUISITE: | Stat 124. |
| DESCRIPTION: | Statistical programming using the data step in SAS; basic Procs; Proc MEAN, SORT, TABULATE, SQL, and REPORT; ODS; simple MACROS. |
STAT 331 : Introduction to Bayesian Statistics.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W |
| PREREQUISITE: | Math 113. |
| DESCRIPTION: | The scientific method; conditional probability; Bayesian methods; models for proportions; densities for proportions; models for means; densities for means; regression analysis. |
STAT 334 : Methods of Survey Sampling.
(3:3:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F |
| PREREQUISITE: | Stat 221 or equivalent. |
| DESCRIPTION: | Sampling frames, questionnaire design; simple random, systematic, stratified, and cluster sampling methods, comparing domain means, contingency table analysis. |
STAT 424 : Statistical Computing 2.
(3:3:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F |
| PREREQUISITE: | Stat 324. |
| DESCRIPTION: | S Plus, statistical graphics, simulation, advanced SAS (macros, Proc IML, and Proc SQL), and database programming. |
STAT 431 : Experimental Design.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F |
| PREREQUISITE: | Stat 337 or 511. |
| DESCRIPTION: | Basic designs, power and sample size, Latin squares, incomplete blocks, change-over designs, factorials, fractional factorials, confounding, split-plots, response surface designs. |
STAT 434 : Advanced Sampling.
(3:3:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F even years |
| PREREQUISITE: | Stat 334; 421 or 441 or 470 or departmental consent. |
| DESCRIPTION: | Estimation in systematic, simple random, stratified, cluster, and PPS sampling and mixtures of these; ratio estimation, sample size determination and principles of sample allocation. |
STAT 435 : Nonparametric Statistical Methods.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F |
| PREREQUISITE: | Stat 337 or 511 or equivalent. |
| DESCRIPTION: | Permutation tests, rank-based methods, analysis of contingency tables, bootstrap methods, curve fitting. |
STAT 462 : Quality Control and Industrial Statistics.
(3:3:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F odd years |
| PREREQUISITE: | Stat 332 or 336. |
| RECOMMENDED: | Stat 337. |
| DESCRIPTION: | Six sigma; tools with which to define, measure, analyze, improve, control. Advanced concepts in control charts, applying experimental design for process and product improvement. |
STAT 466 : Introduction to Reliability.
(3:3:2)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W |
| PREREQUISITE: | Stat 332 or 361; 321 or 421 or 441. |
| DESCRIPTION: | Mathematics, distributions, management, and maintenance of basic reliability concepts; collection and analysis of test data; fault tree analysis; applying reliability in various areas. |
STAT 469 : Applied Time Series and Forecasting.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W |
| PREREQUISITE: | Stat 336. |
| DESCRIPTION: | Data mining, univariate ARIMA time series theory and application, seasonal models, spatial correlation models, conditional heteroscedastic models in financial time series, case studies. |
STAT 497R : Introduction to Statistical Research.
(.5-3:0:6)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F, W, Sp, Su |
| PREREQUISITE: | department chair's consent. |
| DESCRIPTION: | Review of current literature and survey of present status of significant statistical research; collaborative work between student and faculty. |
STAT 535 : Applied Linear Models.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | F |
| PREREQUISITE: | Departmental consent. |
| DESCRIPTION: | Theory of estimation and testing in linear models. Analysis of full-rank model, over-parameterized model, cell-means model, unequal subclass frequencies, and missing and fused cells. Estimability issues, diagnostics. |
STAT 536 : Modern Regression Methods.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W |
| PREREQUISITE: | Stat 535, 624; or departmental consent. |
| DESCRIPTION: | Weighted least squares, measurement error models, robust regression, nonlinear regression, local regression, generalized additive models, tree-structured regression. |
STAT 538 : Survival Analysis.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W |
| PREREQUISITE: | Stat 441 or equivalent. |
| DESCRIPTION: | Basic concepts of survival analysis; hazard functions; types of censoring; Kaplan-Meier estimates; Logrank tests; proportional hazard models; examples drawn from clinical and epidemiological literature. |
STAT 545 : Stochastic Processes.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W |
| PREREQUISITE: | Stat 441 or 470 or equivalent. |
| DESCRIPTION: | Conditional expectation and probabilities; Markov chains; solutions using time-reversible chains; modeling using hidden Markov chains; exponential waiting times; Poisson processes; Brownian motion with approximations. |
STAT 566 : Exploratory Multivariate Methods.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | W |
| PREREQUISITE: | Stat 337 or 512 or instructor's consent. |
| DESCRIPTION: | Exploratory data analysis; multivariate visualization; dynamic graphics; inference for mean vectors; multivariate regression; principal component analysis; cluster analysis; classification analysis; multi-dimensional scaling; correspondence analysis; bi-plots. |
Recommended Courses
It is recommended that students take Stat 224, 424, 431, 435, 469. Students planning graduate studies should also take Math 315, 316. (See Mathematics section for prerequisites.)
*Hours include courses that may fulfill university core requirements.