07-08 Undergrad Catalog

Undergraduate Courses

105. Introduction to Statistics. (3:3:2) F, W, Su Prerequisite: Math 97 or equivalent.

Fundamental ideas and applications of statistics.

199R. Academic Internship. (1–3:Arr.:Arr. ea.) F, W, Sp, Su Prerequisite: department chair's and cooperative education coordinator's consent.

Work experience evaluated by supervisor and posted on student's transcript.

221. Principles of Statistics. (3:3:2) F, W, Sp, Su Honors also. Prerequisite: Math 110 or equivalent.

Stemplots, boxplots, histograms, scatterplots; central tendency, variability; confidence intervals and hypothesis testing involving one and two means and proportions; contingency tables, regression; computer package.

224. Statistical Computing 1. (3:2:3) F, W Prerequisite: Stat 221 or equivalent with instructor's consent.

Statistical programming using the data step in SAS; basic statistical Procs; Proc SQL; ODS; MACROS; introduction to S-Plus.

291, 292. Teaching Elementary Statistics in a Laboratory Setting. (0.5:0:2 ea.) F, W, Sp, Su Prerequisite: for 291: Stat 221; for 292: Stat 291.

Supervised training and experience in teaching statistical concepts, managing lab experiences, using active learning strategies, and evaluating student performance.

301. Statistics and Probability for Secondary Educators. (3:3:2) F, Sp Prerequisite: Math 113.

Statistics and probability, emphasizing secondary-specific curriculum. Principles of counting, probability distributions, density functions, graphical methods, descriptive and inferential statistics, computer package.

321. Elements of Mathematical Statistics. (3:3:2) F, Su Prerequisite: Math 113 or 119 or equivalent.

Probability, random variables, frequency distributions, estimation and tests of hypotheses from a theoretical standpoint.

331. Introduction to Bayesian Statistics. (3:3:0) W Prerequisite: Math 113.

The scientific method; conditional probability; Bayesian methods; models for proportions; densities for proportions; models for means; densities for means; regression analysis.

332. Quality Improvement for Industry. (3:3:1) F, W, Sp Prerequisite: Math 112 or 119.

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.

333. Utah Colleges Exit Poll Administration. (2:2:0) F even yr. Prerequisite: Stat 334 or concurrent enrollment.

Planning and executing KBYU/Utah Colleges Exit Poll.

334. Methods of Survey Sampling. (3:3:2) F Prerequisite: Stat 221 or equivalent.

Sampling frames, questionnaire design; simple random, systematic, stratified, and cluster sampling methods, comparing domain means, contingency table analysis.

336. Statistical Methods 1. (6:3:3) F, W Prerequisite: Stat 221; Math 113.

Estimation and hypothesis testing, simple linear regression, multiple regression, subset selection procedures; residual, influence, and collinearity diagnostics.

337. Statistical Methods 2. (3:3:0) F, W Prerequisite: Stat 336.

Single-factor analysis of variance; multifactor analysis of variance; analysis of factor level means; diagnostics; analysis of covariance; basic study design; random effects.

421. Introduction to Probability and Statistical Theory. (3:3:0) W Prerequisite: Math 113 or equivalent; Stat 336.

Probability; random variables; probability models; methods of estimation; sampling distribution and the Central Limit Theorem; Neyman-Pearson hypothesis testing.

424. Statistical Computing 2. (3:3:2) F Prerequisite: Stat 224.

S Plus, statistical graphics, SAS macros, SAS Proc IML, and simulation.

431. Experimental Design. (3:3:0) F Prerequisite: Stat 337 or 511.

Basic designs, power and sample size, Latin squares, incomplete blocks, change-over designs, factorials, fractional factorials, confounding, split-plots, response surface designs.

433. Utah Colleges Exit Poll Design. (2:2:0) F even yr. Prerequisite: concurrent enrollment in Stat 434.

Planning and executing KBYU/Utah Colleges Exit Poll.

434. Advanced Sampling. (3:3:2) F even yr. Prerequisite: Stat 334; 421 or 441 or 470 or departmental consent.

Estimation in systematic, simple random, stratified, cluster, and PPS sampling and mixtures of these; ratio estimation, sample size determination and principles of sample allocation.

435. Nonparametric Statistical Methods. (3:3:0) F Prerequisite: Stat 337 or 511 or equivalent.

Permutation tests, rank-based methods, analysis of contingency tables, bootstrap methods, curve fitting.

441. Statistical Theory 1. (3:3:0) F, W Prerequisite: Math 214.

Axiomatic probability theory for discrete and continuous random variables; moment-generating functions; conditional probability; stochastic independence; transformations; limiting distributions; stochastic convergence; central limit theorem.

442. Statistical Theory 2. (3:3:0) F, W Prerequisite: Stat 441.

Sufficiency and completeness; point and interval estimation; hypothesis testing; Cramer-Rao inequality; some asymptotic results; Bayesian methods.

462. Quality Control and Industrial Statistics. (3:3:2) F odd yr. Prerequisite: Stat 332 or 336. Recommended: Stat 337.

Six sigma; tools with which to define, measure, analyze, improve, and control. Advanced concepts in control charts; applying experimental design for process and product improvement.

466. Introduction to Reliability. (3:3:2) W Prerequisite: Stat 332 or 361; 321 or 421 or 441.

Mathematics, distributions, management, and maintenance of basic reliability concepts; collection and analysis of test data; fault tree analysis; applying reliability in various areas.

469. Applied Time Series and Forecasting. (3:3:0) W Prerequisite: Stat 336.

Data mining, univariate ARIMA time series theory and application, seasonal models, spatial correlation models, conditional heteroscedastic models in financial time series, case studies.

470. Statistical Theory for Actuaries. (3:3:0) F Prerequisite: Math 214.

Probability theory: discrete, continuous, mixture random variables; loss distributions; moment-generating functions; conditional probability, expectation; total probability; stochastic independence; transformations. Prepares for Exam P.

472. Actuarial Problems. (1:2:0) W, Sp Prerequisite: Stat 470 or concurrent enrollment.

Applying mathematical statistics in actuarial science. Prepares for Exam P.

474. Life Contingencies 1. (3:3:0) F Prerequisite: Stat 470 or concurrent enrollment.

Theory of interest, annuities, amortization, life tables, life annuities. Prepares for Exam FM.

475. Life Contingencies 2. (3:3:0) W Prerequisite: Stat 474.

Contingent annuities, joint annuities, insurance, calculating premiums and reserves. Prepares for Exam M.

496R. Academic Internship: Statistics. (0.5–9:Arr:Arr ea.) F, W, Sp, Su Prerequisite: department coordinator's consent.

On-the-job experience or internships for undergraduates. Report is required.

497R. Introduction to Statistical Research. (0.5–3:0:6 ea.) F, W, Sp, Su Prerequisite: department chair's consent.

Review of current literature and survey of present status of significant statistical research; collaborative work between student and faculty.

499R. Honors Thesis. (0.5–6:Arr.:Arr. ea.) F, W, Sp, Su Prerequisite: departmental consent.

500-Level Graduate Courses (available to advanced undergraduates)

510. Introduction to Statistics for Graduate Students. (3:3:1) F, W, Sp, Su Prerequisite: Math 97 or equivalent. Recommended: Math 110 or equivalent.

Introductory statistics course for graduate students outside Statistics Department. Topics include probability, estimation, hypothesis tests, simple linear regression, analysis of variance.

511. Statistical Methods for Research 1. (3:3:2) F, W, Sp Prerequisite: Stat 510 or equivalent.

Basic statistical methodologies and experimental design. Topics include analysis of variance, multiple regression, analysis of covariance, common experimental designs.

512. Statistical Methods for Research 2. (3:3:2) W, Su Prerequisite: Stat 511.

Advanced statistical methodologies. Topics include repeated measures models, basic multivariate techniques, logistic regression, log-linear models.

525. Statistical Inference. (3:3:0) F Prerequisite: Stat 442 or equivalent.

Exponential families, likelihood theory, maximum likelihood estimation, likelihood ratio tests, small and large sample tests.

532. Quality Improvement for Engineering. (3:3:2) F Prerequisite: Stat 361, Math 113.

Selected topics in statistical theory, analysis of variance, simple and multiple regression, response surface design and analysis, multilevel experimental designs, blocking designs, confounding.

535. Applied Linear Models. (3:3:0) F Prerequisite: departmental consent.

Analysis of full-rank model, over-parameterized model, cell-means model, unequal subclass frequencies, and missing and fused cells. Estimability issues, diagnostics.

536. Modern Regression Methods. (3:3:0) W Prerequisite: Stat 535, 624; or departmental consent.

Weighted least squares, measurement error models, robust regression, nonlinear regression, local regression, generalized additive models, tree-structured regression.

537. Generalized Linear Models. (3:3:0) W Prerequisite: Stat 535, 642; or equivalents.

Generalized linear models framework, binary data, polytomous data, log-linear models.

538. Survival Analysis. (3:3:0) W Prerequisite: Stat 441 or equivalent.

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.

545. Stochastic Processes. (3:3:0) W Prerequisite: Stat 441 or 470 or equivalent.

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.

590. Statistical Consulting. (3:3:0) W Prerequisite: departmental consent.

Introduction to statistical consulting, oral presentations, presentation packages, written reports. Extensive applied experience in the Center for Collaborative Research and Statistical Consulting.

591R. Graduate Seminar in Statistics. (0:1:0 ea.) F, W

595R. Special Topics in Statistics. (1–3:Arr.:0 ea.) On dem. Prerequisite: instructor's consent.

599R. Academic Internship: Statistics. (1–9:0:Arr. ea.) F, W, Sp, Su Prerequisite: departmental consent.

On-the-job experience. Report required.

Graduate Courses

For 600- and 700-level courses, see the BYU 2007–2008 Graduate Catalog.