instructor: Dan Gillen office: 346C Computer Science phone: 949-824-9862 email: dgillen@uci.edu Objectives: Introduction to statistical methods for analyzing categorical data. Methods covered include .... Prerequisites: Statistics 210 or equivalent. Tentative Course Outline: Weeks 1-2 - Modes of inference in the two sample case: Randomization-based and model-based inference in the context of two-sample inference. The planning of studies and the use of diagnostics to verify modeling assumptions are also discussed. (Reading ... Chapter 15, Appendix A.6-7) Week 3 - Analysis of variance (ANOVA): One-way analysis of variance for comparing more than two populations. Issues discussed include: inference, power/sample size, multiple comparisons, contrasts, diagnostics. (Reading ... Chapters 16-18) Week 4 - Pairing/blocking to reduce variance: Strategies for improving the efficiency of the analysis of variance. (Reading ... Chapter 21) Week 5 - Factorial experiments: Extension of ANOVA to handle experiments with more than one factor. (Reading ... Chapters 19, 20, 23, 24) Week 6 - Correlation and simple linear regression: Measures of association for two continuous variables and the use of linear regression to describe the relationship of two continuous variables. (Reading ... Chapters 1-5) Weeks 7-9 - Multiple linear regression: Statistical inference for the multiple linear regression model. Emphasis on interpretation of model parameters, diagnosis of failures of model assumptions, and corrective actions. (Reading ... Chapters 6-11) Week 10 - Model building and model selection: Techniques for constructing linear regression models including transformations and model selection. The relationship of regression and ANOVA. (Reading ... Chapters 6-11 (cont'd) and Chapter 22) Course Requirements: Students will be assigned problem sets, approximately once in each week. The problem sets will make use of the SAS statistical software package. There will be midterm and final exams. The grade is determined by performance on this work as follows: homework (approx 30%), midterm exam (approx 30%), final exam (approx 40%). Texts/Reading: Primary text: Applied Linear Statistical Models M. H. Kutner, C. J. Nachtsheim, J. Neter, W. Li (5th edition). McGraw Hill Irwin, 2005. Material will also be drawn from: The Statistical Sleuth F. L. Ramsey and D. W. Schafer (2nd edition). Duxbury, 2002. Prerequisite is a course like Statistics 7 or material in: The Basic Practice of Statistics D. S. Moore (2nd edition). WH Freeman, 2000. Introduction to the Practice of Statistics D. S. Moore and G. P. McCabe (4th edition). WH Freeman, 2003. Mind on Statistics J. M. Utts and R. F. Heckard (2nd edition). Thomson/Brooks Cole, 2004. Return to Course homepage Return to UCI Statistics page