
Undergraduate10. Statistical Thinking (4)Lecture3 hours; discussion/laboratory1 hour. Prerequisite: two years of high school algebra. Statistics and probability in daily life. Examines principles of collecting, presenting and interpreting data in order to critically assess results reported in the media; emphasis is on understanding polls, unemployment rates, health studies; understanding probability, risk and odds. GE credit: SciEng or SocSci, Wrt.III. (III.) 12. Introduction to Discrete Probability (4)Lecture3 hours; laboratory1 hour. Prerequisite: two years of high school algebra. Random experiments; countable sample spaces; elementary probability axioms; counting formulas; conditional probability; independence; Bayes theorem; expectation; gambling problems; binomial, hypergeometric, Poisson, geometric, negative binomial and multinomial models; limiting distributions; Markov chains. Applications in the social, biological, and engineering sciences. Offered in alternate years. GE credit: SciEng. 13. Elementary Statistics (4)Lecture3 hours; discussion1 hour. Prerequisite: two years of high school algebra or the equivalent in college. Descriptive statistics; basic probability concepts; binomial, normal, Student's t, and chisquare distributions. Hypothesis testing and confidence intervals for one and two means and proportions. Regression. Not open for credit to students who have completed course 13V or higher. GE credit: SciEng.I, II, III. (I, II, III.) 13V. Elementary Statistics (4)Lecture1.5 hours; online lecture5 hours. Prerequisite: two years of high school algebra or the equivalent in college. Descriptive statistics; basic probability concepts; binomial, normal, Student's t, and chisquare distributions. Hypothesis testing and confidence intervals for one and two means and proportions. Regression. Not open for credit to students who have completed course 13 or higher. GE credit: SciEng.I. (I.) 32. Basic Statistical Analysis Through Computers (3)Lecture3 hours. Prerequisite: Mathematics 16B or 21B; ability to program in a highlevel computer language such as Pascal. Overview of probability modeling and statistical inference. Problem solution through mathematical analysis and computer simulation. Recommended as alternative to course 13 for students with some knowledge of calculus and computer programming. GE credit: SciEng.II, III. (II, III.) 90X. Seminar (12)Seminar12 hours. Prerequisite: high school algebra and consent of instructor. Examination of a special topic in a small group setting. 98. Directed Group Study (15)Prerequisite: consent of instructor. (P/NP grading only.) 99. Special Study for Undergraduates (15)
Prerequisite: consent of instructor. (P/NP grading only.) 100. Applied Statistics for Biological Sciences (4)Lecture3 hours; laboratory1 hours. Prerequisite: Mathematics 16B or the equivalent. Descriptive statistics, probability, sampling distributions, estimation, hypothesis testing, contingency tables, ANOVA, regression; implementation of statistical methods using computer package. Only two units of credit allowed to students who have taken course 13, 32 or 103. Not open for credit to students who have taken course 102. GE credit SciEng.I, II, III. (I, II, III.) 101. Advanced Applied Statistics for the Biological SciencesBasic experimental designs, twofactor ANOVA without interactions, repeated measures ANOVA, ANCOVA, random effects vs. fixed effects, multiple regression, basic model building, resampling methods, multiple comparisons, multivariate methods, generalized linear models, Monte Carlo simulations. 102. Introduction to Probability Modeling and Statistical Inference (4)Lecture3 hours; discussion1 hour. Prerequisite: two years of high school algebra, and upper division standing. Introductory probability and statistics at a rigorous yet precalculus level. Rigorous precalculus introduction to probability and parametric/nonparametric statistical inference with computing; binomial, Poisson, geometric, normal, and sampling distributions; exploratory data analysis; regression analysis; ANOVA. Only two units of credit allowed to students who have taken course 32. Not open for credit to students who have taken course 100. GE credit: SciEng.I, III. (I, III.) 103. Applied Statistics for Business and Economics (4)Lecture3 hours; discussion1 hour. Prerequisite: course 13, 32, or 102; and Mathematics 16A, 16B. Descriptive statistics; probability; random variables; expectation; binomial, normal, Poisson, other univariate distributions; joint distributions; sampling distributions, central limit theorem; properties of estimators; linear combinations of random variables; testing and estimation; Minitab computing package. GE credit: SciEng.I, II, III. (I, II, III.) 104. Applied Statistical Methods: Nonparametric Statistics (4)Lecture3 hours; laboratory1 hour. Prerequisite: course 13, 32, or 102. Sign and Wilcoxon tests, Walsh averages. Twosample procedures. Inferences concerning scale. KruskalWallis test. Measures of association. Chi square and KolmogorovSmirnov tests. Offered in alternate years. GE credit: SciEng.(II.) 106. Applied Statistical Methods: Analysis of Variance (4)Lecture4 hours. Prerequisite: course 13, 32, or 102. Oneway and twoway fixed effects analysis of variance models. Randomized complete and incomplete block design, Latin squares. Multiple comparisons procedures. Oneway random effects model. GE credit: SciEng.I, II. (I, II.) 108. Applied Statistical Methods: Regression Analysis (4)Lecture3 hours; discussion1 hour. Prerequisite: course 13, 32 or 102. Simple linear regression, variable selection techniques, stepwise regression, analysis of covariance, influence measures, computing packages. GE credit: SciEng.I, II, III. (I, II, III.) 120. Probability and Random Variables for Engineers (4)Lecture3 hours; discussion1 hour. Prerequisite: Mathematics 21A, B, C, and D. Basic concepts of probability theory with applications to electrical engineering, discrete and continuous random variables, conditional probability, combinatorics, bivariate distributions, transformation of random variables, law of large numbers, central limit theorem, and approximations. No credit for students who have taken course 131A or Civil and Environmental Engineering 114. GE credit: SciEng.I, III. (I, III.) Mueller 130A. Mathematical Statistics: Brief Course (4)Lecture3 hours; discussion1 hour. Prerequisite: Mathematics16B. Basic probability, densities and distributions, mean, variance, covariance, Chebyshev's inequality, some special distributions, sampling distributions, central limit theorem and law of large numbers, point estimation, some methods of estimation, interval estimation, confidence intervals for certain quantities, computing sample sizes. Only 2 units of credit allowed to students who have taken course 131A.I. (I.) 130B. Mathematical Statistics: Brief Course (4)Lecture3 hours; discussion1 hour. Prerequisite: course 130A. Transformed random variables, large sample properties of estimates. Basic ideas of hypotheses testing, likelihood ratio tests, goodnessoffit tests. General linear model, least squares estimates, GaussMarkov theorem. Analysis of variance, Ftest. Regression and correlation, multiple regression. Selected topics.II. (II.) 131A. Introduction to Probability Theory (4)Lecture3 hours; discussion1 hour. Prerequisite: Mathematics 21A, B, C, and Mathematics 22A. Fundamental concepts of probability theory, discrete and continuous random variables, standard distributions, moments and momentgenerating functions, laws of large numbers and the central limit theorem. Not open for credit to students who have taken Mathematics 135A.I, II, III. (I, II, III.) (change in existing course  eff. Spring 10) 131B. Introduction to Mathematical Statistics (4)Lecture3 hours; discussion1 hour. Prerequisite: course 131A or consent of the instructor. Sampling, methods of estimation, sampling distributions, confidence intervals, testing hypotheses, linear regression, analysis of variance, elements of large sample theory, and nonparametric inference.II. (II.) (change in existing course  eff. Winter 10) 131C. Introduction to Mathematical Statistics (4)Lecture3 hours; discussion1 hour. Prerequisite: course 131B, or consent of instructor. Sampling, methods of estimation, sampling distributions, confidence intervals, testing hypotheses, linear regression, analysis of variance, elements of large sample theory, and nonparametric inference.III. (III.) (change in existing course  eff. Spring 09) 133. Mathematical Statistics for Economists (4)Lecture3 hours; discussion1 hour. Prerequisite: course 103 and Mathematics 16B, or the equivalents; no credit will be given to students majoring in Statistics. Probability, basic properties; discrete and continuous random variables (binomial, normal, t, chisquare); expectation and variance of a random variable; bivariate random variables (bivariate normal); sampling distributions; central limit theorem; estimation, maximum likelihood principle; basics of hypotheses testing (onesample).I. (I.) 135. Multivariate Data Analysis (4)Lecture3 hours; discussion1 hour. Prerequisite: course 130B, and preferably course 131B. Multivariate normal distribution; Mahalanobis distance; sampling distributions of the mean vector and covariance matrix; Hotelling's T2; simultaneous inference; oneway MANOVA; discriminant analysis; principal components; canonical correlation; factor analysis. Intensive use of computer analyses and real data sets.III. (III.) 137. Applied Time Series Analysis (4)Lecture3 hours; term paper. Prerequisite: course 108 or the equivalent. Time series relationships, cyclical behavior, periodicity, spectral analysis, coherence, filtering, regression, ARIMA and statespace models; Applications to data from economics, engineering, medicine environment using time series software.III. (III.) 138. Analysis of Categorical Data (4)Lecture3 hours; discussion1 hour. Prerequisite: course 130B or 131B, or courses 106 and 108. Varieties of categorical data, crossclassifications, contingency tables, tests for independence. Multidimensional tables and loglinear models, maximum likelihood estimation; tests of goodnessoffit. Logit models, linear logistic models. Analysis of incomplete tables. Packaged computer programs, analysis of real data. GE credit: SciEng.I. (I.) 141. Statistical Computing (4)Lecture3 hours; laboratory1 hour. Prerequisite: one introductory class in Statistics (such as 13, 32, 100, or 102), or the equivalent. Organization of computations to access, transform, explore, analyze data and produce results. Concepts and vocabulary of statistical/scientific computing.I. (I.) 142. Reliability (4)Lecture3 hours; discussion/laboratory1 hour. Prerequisite: course 130B or 131B or consent of instructor. Stochastic modeling and inference for reliability systems. Topics include coherent systems, statistical failure models, notions of aging, maintenance policies and their optimization. Offered in alternate years. 144. Sampling Theory of Surveys (4)Lecture3 hours; discussion/laboratory1 hour. Prerequisite: course 130B or 131B. Simple random, stratified random, cluster, and systematic sampling plans; mean, proportion, total, ratio, and regression estimators for these plans; sample survey design, absolute and relative error, sample size selection, strata construction; sampling and nonsampling sources of error. Offered in alternate years. GE credit: SciEng.(I.) 145. Bayesian Statistical Inference (4)Lecture3 hours; laboratory1 hour. Prerequisite: courses 130A and 130B, or 131A and 131B, or the equivalent. Subjective probability, Bayes Theorem, conjugate priors, noninformative priors, estimation, testing, prediction, empirical Bayes methods, properties of Bayesian procedures, comparisons with classical procedures, approximation techniques, Gibbs sampling, hierarchical Bayesian analysis, applications, computer implemented data analysis. Offered in alternate years.(II.) 190X. Seminar (12)Seminar12 hours. Prerequisite: one of courses 13, 32, 100, 102, or 103. Indepth examination of a special topic in a small group setting. 192. Internship in Statistics (112)Internship336 hours; term paper. Prerequisite: upper division standing and consent of instructor. Work experience in statistics. (P/NP grading only.) 194HA194HB. Special Studies for Honors Students (44)Independent study12 hours. Prerequisite: senior qualifying for honors. Directed reading, research and writing, culminating in the completion of a senior honors thesis or project under direction of a faculty adviser. (Deferred grading only, pending completion of sequence.) 198. Directed Group Study (15)Prerequisite: consent of instructor. (P/NP grading only.) 199. Special Study for Advanced Undergraduates (15)Prerequisite: consent of instructor. (P/NP grading only.)

