50. Elementary Statistics. Lecture, three hours; discussion, one hour. Preparation: three years of high school mathematics. Descriptive statistics, elementary probability, random variables, binomial and normal distributions. Large and small sample inference concerning means.
Students planning to pursue advanced degrees in statistics should enroll in the M152A, 152B-152C sequence. The 154A-154B sequence is less comprehensive than the 152 series. In particular, probability topics do not receive the same level of coverage. Courses 154A-154B are offered each term. The remaining upper division courses are usually offered once or twice each year. The tentative class schedule for the forthcoming academic year is posted in the Student Services Office in February.
M152A. Probability Theory. (Same as Mathematics M170A.) Lecture, three hours; discussion, one hour. Requisites: Mathematics 32B, 33B. Not open to students with credit for course 154A, Mathematics M170A, or Electrical Engineering 131A. Probability distributions, random variables and vectors, expectation. P/NP or letter grading.
152B-152C. Statistics. Lecture, three hours; discussion, one hour. Not open to students with credit for courses 154A-154B. P/NP or letter grading. 152B. Prerequisite: course M152A. Survey sampling, estimation, testing, data summary, one- and two-sample problems. 152C. Prerequisite: course 152B. Analysis of variance, categorical data, linear regression, decision theory and Bayesian inference.
M153A-M153B. Introduction to Computational Statistics. (Same as Biomathematics M153A-M153B and Biostatistics M153A-M153B.) Lecture, three hours; discussion, one hour. Prerequisites: course 152B, Mathematics 115A. Linear and nonlinear regression analysis using package programs. Emphasis on relation between statistical theory, numerical results, and analysis of data. M153A. BMDP, SAS, and SPSS regression programs; general linear model theory; linear regression analysis; transforming and weighting; regression diagnostics; model building. M153B. Analysis of variance and covariance; nonlinear regression programs, analysis, and applications; maximum likelihood analysis; robust regression.
154A-154B. Statistics. Lecture, three hours; discussion, one hour. Not open to students with credit for courses M152A and 152B. P/NP or letter grading. 154A. Requisites: Mathematics 32B, 33B. Not open to students with credit for course M152A, Mathematics M170A, or Electrical Engineering 131A. Probability, distributions, expectation, estimation, central limit theorem, confidence intervals, testing. 154B. Requisite: course 154A. One- and two-sample problems, goodness of fit and contingency tables, correlation and regression, analysis of variance, nonparametrics.