STA 32 Introductory Statistical Analysis Through Computers
Lecture: 3 hours
Laboratory: 1 hour
Probability concepts: Events and sample spaces; random variables; mass, density and distribution functions; parametric families; parameter estimation and confidence intervals; hypothesis testing; Central Limit Theorem. Recommended as alternative to course 13 for students with a background in calculus and programming.
Prerequisite: MAT 016B or MAT 021B or MAT 017C; ability to program in a high-level computer language.
This course gives the student an overview of the structure and applications of probability, statistics, computer simulation and data analysis. It was designed to serve as an alternative to course 13 for students having background in calculus and programming. Course 32 should be the first Statistics course taken by a student who is considering a Statistics major. After completing the course successfully, the student should:
- Be aware of the general types of applications of probability, statistics and simulation, and the roles of the twin tools of mathematical analysis and simulation
- Be able to do simple computations involving probabilities, random variables, mass or density functions, expected values and variances--both through mathematical analysis and through simulation
- Have the prerequisite background from the methodology courses such as course 104, 106, and 108
- Have insight, which should lead to better performance in courses 131ABC
Summary of course contents:
- Probability Concepts: Events and sample spaces; random variables; mass, density and distribution function; parametric families; central limit theorem
- Statistical Concepts: Sampling; estimation; testing
- Simulation Tools: Need to simulation in mathematically intractable problems. Simulation programming; random number generation; determination of sample size.
Only two units of credit allowed to students who have taken course 13, or 102; not open for credit to students who have taken course 100.
Since this course was designed as an alternative to course 13, there is considerable overlap in the topics covered in the two courses. However, course 32 covers the topics in much more depth and mathematical sophistication. In this sense, course 32 is more similar in nature to courses 130A and 130B in level, though coverage in course 32 is not as extensive as that of 130A and 130B.