2005 Fall STA 103-001
Bulletin Course Description Basic laws of probability<197>random events, independence and dependence, expectations, Bayes theorem. Discrete and continuous random variables, density, and distribution functions. Binomial and normal models for observational data. Introduction to maximum likelihood estimation and Bayesian inference. One- and two-sample mean problems, simple linear regression, multiple linear regression with two explanatory variables. Applications in economics, quantitative social sciences, and natural sciences emphasized. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title PROBABILITY/STAT INFER Department STA Course Number 2005 Fall 103 Section Number 001 Primary Instructor Reiter,Jerome P Prerequisites Prerequisites: Mathematics 31 or equivalent. Not open to students who have credit for another 100-level statistics course.
Prerequisites
MTH 31 or an introductory calculus equivalent.
Synopsis of course content
Statistics 103 covers the basic laws of probability and statistical inference.
Topics include: random events, independence and dependence, Bayes theorem, discrete and continuous random variables, density, and distribution functions. Expectations and variances of linear combinations of random variables. Introductions to maximum likelihood estimation and Bayesian inference. Hypothesis testing and confidence intervals, and simple linear regression. Applications in economics and quantitative social sciences, and natural sciences emphasized.
Assignments
The assignments will include quizzes, exams, labs, and projects. In the computing labs, students analyze datasets using statistical software.
Additional Information
This course assumes students have only an introductory calculus background. Calculus will not be used heavily, but mathematical maturity at the calculus level will be assumed. The course will use summation notation and mathematical symbols. Use of calculus will be limited to simple derivates and integrals. No multivariate calculus will be used.
This course covers many topics needed for further study in statistical methods, including random variables and calculation of arbitrary expectations and variances. Therefore, students preparing for econometrics and finance courses in Economics should take Statistics 103. Students interested in a mathematically rigorous introduction to statistics should take Statistics 114. Students who want a conceptual introduction to statistics, or who are not confortable with summation notation or moderate mathematics, should take Statistics 101.
