MATH 452/552 Statistical Computing
 

Spring 2008


Call No.  07298/07299


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Class homepage:         http://www.math.ohiou.edu/~shen/spring2008/class452/class452.html

Time:                           MTWTh 05:10-06:00 PM, 422 Morton Hall
Instructor:                   Dr. Annie X. Shen
Office:                          571 Morton Hall
Office Hours:               Tuesday, Wednesday and Thursday, 04:00-5:00 pm or by appointments
Email:                          shen@math.ohiou.edu
Phone:                         740-593-1288


Class materials available at

Catalog Description. Introduction to computational statistics; Monte Carlo methods, bootstrap, data partitioning methods, EM algorithm, probability density estimation, Markov Chain Monte Carlo methods.

•    Prerequisite. MATH 450B/550B or equivalent.

The course aims to introduce the data analysis software, Statistics Toolbox in MatLab and make computational statistics techniques available to engineers and scientists. It emphasizes implementation rather than theory. Because it is computational in nature, knowledge in matrix theory/linear algebra and working experiences of at least one of programming languages such as C/C++, FORTRAN or MatLab are required. A student who is not properly prepared for this class generally performs poorly. Homework and exams may involve the use of MATLAB and C/C++ programming at elementary level.

•    Textbook

Computational Statistics Handbook with Matlab, Computational Statistics Handbook with Matlab, 2nd, Wendy L. Martinez and Angel R. Martinez, CRC/Chapman Hall, 12/20/2007.

•    Software

1. Computational Statistics Toolbox for MATLAB.
    The toolbox can be downloaded at http://www.pi-sigma.info/CS2E.htm

2. Statistics Toolbox in Matlab.
    This software is available in public computer labs across campus, and in the Morton Hall computer labs.     You can find the menu at: http://www.mathworks.com/products/statistics/ .  

•    Coverage. Selected topics from:

Chapter 4         Generating random variables
Chapter 5         Exploratory data analysis
Chapter 7.        Monte Carlo Methods for inferential statistics, bootstrap methods
Chapter 9.        Probability density estimation and EM algorithm
Chapter 14*     Markov Chain Monte Carlo Methods.

•    Grading Policy

All exams should be done independently; otherwise you will be guilty of plagiarism. A student who is caught cheating will get an F for the course and will be referred to student judiciaries for further action. Attendance at the scheduled examinations and final is required except medical reasons. If you have documented disability and need special accommodation, please see me within 2 weeks of the quarter begins.   

Letter grade for the quarter will be assigned

Score            [ 0, 60)     [60, 70)     [70, 80)   [80, 90)    [90,100]
Letter grade    F                 D              C              B                 A

and based on: Homework 20%; Midterm (30%) Final Exam (50%)

•    Assignments

Assignments are graded on accuracy, completeness, and good programming methods. Document your programs with comments. Your work should be clear enough that any reader could reproduce your results. Do not submit everything that appears in the console. Instead, copy the essential output and paste it into a report. It is convenient to use the function dairy and script editor in Matlab to prepare the report, or use and windows word processor. For each assignment submit

(1)  Electronic copy of your program (s);
(2)  Report containing neatly organized and annotated output; including specific answers to any questions;
(3) Attach any graphs required, labeled as Figure 1, Figure 2, etc. and reference by figure number in part (2) Each figure has to have a caption/title.

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