Mathematical Sciences 302
Statistics for the Sciences and Engineering
Section 4


Instructor: Calvin L. Williams, Ph.D.Class Location: M-105 Martin Hall
Office: 0-323 Martin Hall Class Time: 3:30-4:45 T-Th
Telephone: 656-5241 Office Hours: M-Th:2:00-3:00 or By Appointment
E-mail: calvinw@ces.clemson.eduWWW: http://www.ces.clemson.edu/ ~ calvinw/mthsc302.html


Text: Introductory Statistics for engineering Experimentation; Nelson, Coffin, and Copeland.

Course Description: This course is designed to introduce statistics to students of mathematical sciences, engineering, and the applied sciences in general. In light of it's introductory nature students will be introduced to data exploration, both numerically and graphically, data analysis by computational as well as conceptual means, experimental design and statistical inference.
Attendance Policy: All classes should be attended. If not, legitimate excuses must be offered with respect to the day(s) missed. If you are ill, STAY AT HOME. I will accept e-mail or phone calls to that effect. You will still have to get an excuse from Redfern. If you have three unexcused absences you will be automatically penalized one letter grade for your final course grade. Attendance will be monitored. It is to the instructors discretion whether an excuse is legitimate or not. Accordingly, the university's policy on religious holidays will be acknowledged and honored.
Disability access statement from the Office of Student Disability Services: ``It is University policy to provide, on a flexible and individualized basis, reasonable accommodations to students who have disabilities. Students are encouraged to contact Student Disability Services to discuss their individual needs for accommodation." For more information see student handbook.
Tardy Professor Policy: If the instructor is more than 15 minutes late for any class you may leave.
Grading Policy: There will be three 60 minutes in class open book examinations. The regular examinations will count as 40% of the final grade, several homework sets (case studies) 15%, frequent 15 min quizzes 20%, a class project 15%, and final exam 10%. The lowest two homework grades will be dropped and the lowest quiz score. The final exam will cover the more important topics covered during the semester.
Examination Policy: The three 60 minutes in class open book skills examinations and the final examination will be open book. Students should bring a calculator, two clean regulation size(81/2") sheets for scratch work to be turned in with exams, a current student ID, which may be checked, and of course something with which to write, preferably pencil. There will be no sharing of calculators, scratch sheets, or writing utensils during the exams. No makeup examinations will be given. Any student who misses an examination without a legitimate excuse,e.g. a documented medical excuse, will receive a score of zero for that exam. A student with a legitimate excuse, will receive a final score based on all other class work, each of the other two exams counting for 25% of the final grade. More than one missed exam with require withdrawal from the course and/or the receipt of a failing final grade.

Calculator Recommendation It is highly recommended that you have a TI-89 calculator(or HP-48G) or atleast a TI-83 plus for this class. It will aid in making calculations and statistical analysis setup easy, which will allow for a more in depth study of the concepts discussed in class. These calculators are not inexpensive, but realize that you will be able to use them in other classes, (math sciences, business, engineering, etc.) as well. As an additional cost cutting measure, below are links to other sources, besides our local bookstores, that will in most cases give you a better price.

  1. http://www.k-12source.com/
  2. http://www.ti.com/calc/docs/dealers.htm
  3. http://www.electronicprods.com/

Homework Assignments, Case Studies, and Class Project: There will also be several homework sets and case studies from different application areas assigned from the text as well as from material covered during class. Although it is imperative that each student be completely comfortable with these assigned problems and projects, group study is encouraged. There will also be a class project as described below.
Requirements for Homework Assignments
Homework:
Problems will generally be due the next class session after the class session in which they were assigned unless stated otherwise at the time of the assignment. Assignments made during a Tuesday session will generally be due the following Thursday, except when the assignment is extremely involved. Assignments made during a Thursday session will always be due the following Tuesday.
Solutions should be written out clearly and completely in the context of the problem posed.

Case Studies:
Case studies will generally be due the second class session after the class session in which they were assigned.
The analysis should include a description of the problem. I will generally include this with the assignment.
The analysis should include summary statistics written in a narrative form. Tables can be included for centrally locating these results.
The analysis should also include any graphical descriptions, along with a narrative describing the graphs, plots, etc.
Complete computer printouts, command line results, or any other precursory results are not necessary and should not be turned in unless requested.

Class Project: See additional handout on project
The data set must not be taken from any text book, although data from journal articles are satisfactory. You may even consider collecting your own data. In other words, the internet or the course web page will be your best source.
Data must have at least 40 cases and at least three measured characteristics. You can reduce this for your presentations, but must justify your reasons for doing so.
Write ups should include all of those items required for regular class homework, ie, summaries, graphics, exposition, etc.

Academic Integrity: The following is the official statement on "Academic Integrity." The Provost urged it's placement in the syllabus, cited in the Undergraduate Announcements. "As members of the Clemson University community, we have inherited Thomas Green Clemson's vision of this institution as a "high seminary of learning." Fundamental to this vision is a mutual commitment to truthfulness, honor, and responsibility, without which we cannot earn the trust and respect of others. Furthermore, we recognize that academic dishonesty detracts from the value of a Clemson degree. Therefore, we shall not tolerate lying, cheating, or stealing in any form." "When in the opinion of a faculty member, there is evidence that a student has committed an act of academic dishonesty, the faculty member shall make a formal written charge of academic dishonesty including a description of the misconduct, to the Dean of the Graduate School. At the same time, the faculty member may, but is not required to, inform each involved student privately of the nature of the alleged charge."

LECTURES
Week/Day Topic/Chapter Reading Assigns.
Week 1 Thurs. - August 19th Introduction to Statistics,C1,§ 2.1, § 2.2
data exploration, and numerical
data descriptive methods
Week 2 Tues.-Thurs. Graphical data descriptive methods
8/24 Tues. Last day to add class introduction to statistical packages §2.3 Statistix Manual
Models for single-factor experiments § 3.1
Models for two-factor factorial experiments § 3.2
Week 3 Tues.-Thurs. Models for bivariate data § 3.3
Models for Multivariate Data § 3.4
8/31 Wed. Last day to dropwithout record W
Week 4 Tues.-Thurs. Assessing the fit of a model § 3.5
Week 4 Tues. - Sept. 7th Review for Examination I(30 min.)
Assign projects
Random Variables § 4.1
Week 4 Thurs. -Sept. 9th Examination I
Week 5 Tues.-Thurs. Important discrete distributions § 4.2, § 4.4
The exponential distribution § 4.3
Collect project proposals
The Normal Distribution
Week 6 Tues.-Thurs.Assessing the fit of a distribution § 4.4
Central limit theorem § 5.1
A confidence interval for m § 5.2
Week 7 Tues.-Thurs. Sample sizes § 5.2
Prediction Intervals § 5.3
One-sample hypothesis tests § 5.4
One-sample inference for binomial pop. § 5.5
Week 8 Tues. - Oct. 5thPaired samples §6.1
Last day to get projects approved Review for Examination II
Week 8 Thurs. - Oct. 7th Examination II
Week 9 - Tues. - Thurs. Two independent samples § 6.2
Comparing two binomial populations § 6.3
Basic inference and ANOM § 7.1, § 7.2
Week 10 Tues.-Thurs. ANOM with unequal sample sizes,
ANOM for proportions § 7.3,§ 7.4
Analysis of variance (ANOVA) § 7.5
Testing for equal variances § 7.6
Week 11 Tues.-Thurs. Transformation to stabilize the variances, §7.6,§ 7.7
Two-way designs and interaction § 8.1
ANOM and ANOVA for two-way designs § 8.2
Week 12 Tues.- Nov. 2nd Fall Break
Week 12 Thurs.- Nov. 4th ANOM and ANOVA for two-way designs § 8.2
Project Rough Draft due(Tues. 11/4)Unreplicated experiments § 8.3
Review for Examination III (30 min.)
Week 13 Tues.- Nov. 9th Examination III
Week 13 Thurs. Blocking and general factorial designs(T) § 8.3
Project Critique due(Tues. 11/11) Fractional Designs (Th) § 9.3
Inference for Regression lines § 10.1, § 10.2
Week 14 Tues. Nov. 30th Project Presentations
Project Final Report due(Tues. 12/2)
Week 14 Thurs. Dec. 2nd Project Presentations
FINAL EXAM Preparation and Wrap-Up
Final Exam Week Final Examination
TBA




Author: Calvin L. Williams, Mathematical Sciences-Clemson University, Clemson University
Last updated: August 19, 2004
Send Comments to : calvinw@ces.clemson.edu