Stat5373 Design of Experiments Spring 2010

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							                                        Stat5373
                                 Design of Experiments
                                       Spring 2010

• Instructor: Dr. Hossein Mansouri,     hossein.mansouri@ttu.edu

• Office Hours: T Th 8:30-9:30 or by appointment.

• Office: MATH 247 (742-2580 x247) and Holden Hall 202 (742-3833)

• Textbook: Design and Analysis of Experiments. By: Douglas. C. Montgomery, 7th Ed.
  Some useful references

    1. Design and analysis of experiments, Kempthorne, 1952
    2. Experimental designs, Cochran and Cox, 1957
                                  e
    3. Analysis of variance, Scheff´, 1959
    4. Theory and application of linear model, Graybill, 1961
    5. Statistical design and analysis of experiments, John, 1971
    6. Design and analysis of experiments, Hinkelmann Kempthorne,1994
    7. Fundamental concepts in the design of experiments, Hicks and Turner, 1999
    8. Design of experiments: statistical principles of research design and analysis, Kuehl, 2000.
    9. The Little SAS Book, a primer, Delwiche and Slaughter, Third Ed. This is a very good
       resource for basic SAS progrmaming.

  Course Description:

  In this course we will study some of the most commonly used experiments. The ideas, prin-
  ciples and assumptions required for the construction, implementation, and validity of the
  analysis for each design will be discussed and a detailed discussion of the methods of analysis
  of the data resulting from each experiment will be presented.

  Although not a central focus, theoretical justifications of the statistical methods will be dis-
  cussed in detail. Hands on experience with data analysis using the SAS statistical package
  is a major focus of this course. I will provide sample SAS programs and will present a brief
  tutorial on the SAS window environment and the general structure of a SAS program. How-
  ever, I strongly recommend that if you are not familiar with SAS, you should seek training
  through short courses offered at ATLC www.itts.ttu.edu/training/shortcourses.
  Other useful resources for strengthening your programming skills are: SAS online documen-
  tation:

   http://support.sas.com/onlinedoc/913/docMainpage.jsp

  Getting Started with SAS For Windows:
 http://www.indiana.edu/~statmath/stat/sas/win/

 If you have access to SAS software (MA 113 computers) then you can access the last two
 resources from SAS help.
 Expected Learning Outcomes: Students who successfully complete this course will be able
 to function competently in applied research involving the design and analysis of experiments.
 After completing this course the student should be able to implement, formulate, and analyze
 the resulting data for:

- Completely randomized design

- Randomized blocks and related designs

- Factorial design (fixed, random, and mixed effects models)

- Nested design

- Split-Plot design

- Response surface methods

- Unbalanced Factorial design

- Factorial designs with covariates

- Use Multiple comparison techniques to draw simultaneous inference about parameters

- Use residual analysis to check for violation of the model assumptions

- Perform power analysis and calculate the sample size required for a design
 Methods of Assessing the Expected Learning Outcome This will be done through
 class discussions, oral presentations by the students, homework assignments and tests. The
 amount of homework assigned will be substantial since these will involve every topic covered
 in the course. Homework assignment should be typed and written as a professional report
 with minimal to no referral to the pages of SAS or other program output.

    – Course Content:
     - Introduction (Ch. 1)
     - Experiment with a single factor: The analysis of variance (Ch.3)
     - Randomized blocks (Ch. 4, §4.1)
     - Introduction to factorial designs (Ch. 5)
     - Experiments with random factors (Ch. 13)
     - Nested and Split-Plot designs (Ch. 14)
     - Other design and analysis topics (Ch. 15)
     - The 2k factorial design (Ch. 6)
   - Blocking and confounding in the 2k factorial design (Ch. 7)
   - Response surface methods and designs (Ch. 11)
  – Course Work:
   - Selected homework problems and presentations will be graded (1/3 of Grade).
   - A midterm (1/3 of Grade) and a final exam (1/3 of Grade).
  – Important Dates:
   - Midterm: Thursday March 4 (2hours)
   - Final: Saturday May 8, 10:30 a.m. - 1:00 p.m.
   - Last day to drop the course: Wednesday March 24
   - Grade assignment: 90% - 100% = A 75% - 89% = B 65% - 74% = C 50% - 64% = D
     Below 49 % = F
 ** Penalties for late assignments: -5%, few hours late. -10%, 24 hours late. -20%, 48 hours
    late. After 48 hours of delay no assignment will be accepted.

Accommodations:: Any student who, because of a disability, may require special arrange-
ments in order to meet the course requirements should contact the instructor as soon as pos-
sible to make any necessary arrangements. Students should present appropriate verification
from Student Disability Services during the instructors office hours. Please note instructors
are not allowed to provide classroom accommodations to a student until appropriate verifi-
cation from Student Disability Services has been provided. For additional information, you
may contact the Student Disability Services office at 335 West Hall or 806-742-2405.
Student Integrity: ’It is the aim of the faculty of Texas Tech University to foster a spirit
of complete honesty and high standard of integrity,’

{http:/www.depts.ttu.edu/opmanual/OP34.12.pdf}.

Academic dishonesty will be dealt with seriously and may result in suspension. All students
are expected to be familiar with the university policy regarding academic integrity. The policy
can be found on page 50 of undergraduate/graduate catalog 2009-2010.
Observance of religious holy days: ’A student who intends to observe a religious holy
day should make that intention known in writing to the instructor prior to the absence. A
student who is absent from classes for the observance of a religious holy day shall be allowed
to take an examination or complete an assignment scheduled for that day within a reasonable
time after the absence.’

{http://www.depts.ttu.edu/opmanual/OP34.19.pdf}

						
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