**Statistics Courses**

**(Intermediate algebra is prerequisite to all statistics courses.)**

LOWER DIVISION COURSES

**NOTE: **Proof of completion of Entry-Level Mathematics requirement required for Statistics 119 and 250: Copy of ELM score or verification of exemption.

**119. Elementary Statistics for Business (3) I, II, S**

Prerequisites: Satisfaction of the Entry-Level Mathematics requirement and qualification on the Mathematics Departmental Placement Examination, Part 1A.

Measures of central tendency and variability, frequency distributions, probability, Bayes theorem, probability distributions (including binomial, hypergeometric, and normal), sampling distributions, confidence intervals, significance testing, regression and correlation. Not open to students with credit in Statistics 250. Students with credit or concurrent registration in the following lower division statistics courses other than Statistics 250 will be awarded a total of four units for the two (or more) courses: Statistics 119; Biology 215; Civil Engineering 160; Economics 201; Political Science 201; Psychology 270; Sociology 201.

**250. Statistical Principles and Practices (3) I, II**

Prerequisites: Satisfaction of the Entry-Level Mathematics requirement and qualification on the Mathematics Departmental Placement Examination, Part 1A.

Descriptive statistics, data displays, measures of central tendency and variability, random variables, sampling distributions. Estimation and hypothesis tests for means and proportions. Linear regression and correlation. Not open to students with credit in Statistics 119. Students with credit or concurrent registration in the following lower division statistics courses other than Statistics 119 will be awarded a total of four units for the two (or more) courses: Statistics 250; Biology 215; Civil Engineering 160; Economics 201; Political Science 201; Psychology 270; Sociology 201.

**296. Experimental Topics (1-4)**

Selected topics. May be repeated with new content. See Class Schedule for specific content. Limit of nine units of any combination of 296, 496, 596 courses applicable to a bachelor’s degree.

**299. Special Study (1-3)**

Prerequisite: Consent of instructor.

Individual study. Maximum credit six units

.**UPPER DIVISION COURSES**

(Intended for Undergraduates)

**NOTE:** Proof of completion of prerequisites required for all upper division courses: Copy of transcript.

**325. SAS Programming and Data Management (3) I**

Prerequisite: Statistics 250 or comparable course in statistics.

Entry, management, and summary of statistical data using the SAS programming language. Data structures and manipulation, screen editing, visual displays, macros, related topics.

**350A. Statistical Methods (3) I**

Prerequisite: Statistics 250 or comparable course in statistics.

One- and two-sample hypothesis tests, paired difference tests, tests for variances, analysis of variance. Linear regression and correlation. Chi-square tests. Simple nonparametric tests. The power of hypothesis tests.

**350B. Statistical Methods (3) II**

Prerequisite: Statistics 350A.

Multiple regression, factorial models and nonparametric methods, all with emphasis on applications.

**357. Probability and Statistics (3) I, II**

Prerequisite: Mathematics 150.

Probability, measures of central tendency and dispersion, characteristics of frequency functions of discrete and continuous variates; applications. Highly recommended for all prospective secondary school teachers of mathematics.

**496. Experimental Topics (1-4)**

Selected topics. May be repeated with new content. See Class Schedule for specific content. Limit of nine units of any combination of 296, 496, 596 courses applicable to a bachelor’s degree.

**499. Special Study (1-3) I, II**

Prerequisite: Consent of instructor.

Individual study. Maximum credit six units.

**UPPER DIVISION COURSES**

(Also Acceptable for Advanced Degrees)

**NOTE:** Proof of completion of prerequisites required for all upper division courses: Copy of transcript.

**510. Applied Regression Analysis (3) I**

Prerequisite: Statistics 250 or comparable course in statistics.

Methods for simple and multiple regression models, model fitting, variable selection, diagnostic tools, model validation, and matrix forms for multiple regression. Applications of these methods will be illustrated with the SAS, SPSS, and/or S-Plus computer packages.

**520. Applied Multivariate Analysis (3) II**

Prerequisite: Stat 350A or comparable course in statistics.

Discussion of the multivariate normal distribution, multivariate analysis of variance, principal components, factor analysis, discriminant function analysis, classification, and clustering. Statistical packages will be adapted for data analysis.

**550. Applied Probability (3) I, II, S**

Prerequisite: Mathematics 151 and 254.

Computation of probabilities via enumeration and simulation, discrete and continuous distributions, moments of random variables. Markov chains, counting and queueing processes, and selected topics.

**551A. Probability and Mathematical Statistics (3) I**

Prerequisite: Mathematics 252.

Discrete and continuous random variables, probability mass functions and density functions, conditional probability and Bayes’ Theorem, moments, properties of expectation and variance, joint and marginal distributions, functions of random variables, moment generating functions. Special distributions and sampling distributions.

**551B. Probability and Mathematical Statistics (3) II**

Prerequisite: Statistics 551A.

Point and interval estimation and hypothesis testing in statistical models with applications to problems in various fields.

**560. Sample Surveys (3) I**

Prerequisite: Statistics 550 or 551A.

Methods for design and analysis of sample surveys with applications to social and biological sciences. Simple random sampling, stratification and clustering, ratio and regression estimators, subsampling, selected topics in survey methodology.

**570. Stochastic Processes (3)**

Prerequisite: Statistics 550 or 551A.

Introduction to stochastic processes with selected applications.

**575. Actuarial Modeling (3) I**

Prerequisite: Statistics 550 or 551A.

Actuarial models and applications of probability and statistics to insurance and other financial risks. Utility theory; risk models; compound processes; survival distributions and life tables; life insurance, annuities and benefits.

**596. Advanced Topics in Statistics (1-4) I, II**

Prerequisite: Consent of instructor.

Selected topics in statistics. May be repeated with the approval of the instructor. See Class Schedule for specific content. Limit of nine units of any combination of 296, 496, 596 courses applicable to a bachelor’s degree. Maximum credit of six units of 596 applicable to a bachelor’s degree. Maximum combined credit of six units of 596 and

696 applicable to a 30-unit master’s degree.