The final exam is a close-book exam but you are allowed to bring in 4 pages of A4-size help sheets. Time: Nov 26, 7-9 pm; Venue: LT31 (at the 3rd floor in S16)
This module covers common designs of experiments and their analysis. Topics include basic experimental designs, analysis of one-way and two-way layout data, multiple comparisons, factorial designs, two-level factorial designs, blocking and confounding, fractional factorial designs and Taguchi designs.
This course will use the statistical software Minitab, which will be learned through classroom examples and laboratory instructions. Mathematical concepts will be kept to a minimum.
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Lecturer: |
Fan Shenghua, Kelly |
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Lecture Time & Venue: |
1900-2200 Wed at S16/06-118 |
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Consultation hours: |
By appointment |
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Homepage: |
http://www.stat.nus.edu.sg/~shfan |
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E-mail address: |
stafank@nus.edu.sg |
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Office/phone number |
S16/07-111; 68748932 |
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Students should attend lectures and tutorials regularly. There will be a final project and a midterm test in this semester. The midterm test and final exam are both open notes. You will be allowed to bring help sheets.
Questions and solutions for the midterm test
Statistics for midterm score:
| minimum | 25 percentile | median | 75 percentile | maximum |
| 3 | 6.25 | 8.25 | 10.625 | 15.5 |
Group
Project
The
project will be carried out on a group base with 1-4 students in each group.
The name list must be submitted by Oct 29 via e-mail. Each group must
submit a (hard) copy of their report as a group by Nov 12. You can
either select
one of the 4 topics (topic
1; topic 2; topic
3; topic 4) to work on or select a topic on your own. If you decide to
use your own topic, please submit description of the topic by Oct 29.
Note that if an independent variable is continuous, you MUST
divide the values into groups (or levels) since ANOVA method can only be applied
on categorical independent variables.
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Evaluation: |
Final exam 50%; midterm test 20%; group project 20%; tutorial participation 10%.
Important: There will be no makeup test for any test/exam missed. Students who missed their test will be given a zero score unless they can produce a valid medical certification for their absence. For such students, the 20% for the test will be shifted to the final exam, making a total of 70% (50% + 20%) for the final exam. In addition, any late submission of assignment will not be accepted without a valid medical certification.
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Reference books |
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Title |
Author |
Edn |
Year |
Publisher |
Library |
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Compulsory textbook |
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Experimental Design |
Berger & Maurer |
-- |
2002 |
Duxbury |
Sci & CL |
Less mathematical; including outputs from several different software packages; using many examples. Good for the first time learners with no much mathematical background. |
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Supplementary books |
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Design of Experiments : Statistical Principles of Research Design and Analysis |
Kuehl |
2nd |
2000 |
Duxbury Press |
Sci & CL |
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This book covers the subject pretty completely and uses many examples to illustrate ideas. However, it is a bit more mathematical than the compulsory one. I recommend this as the 2nd reference textbook if you want to know more theories behind or more details of what you have learned in class. |
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Design & Analysis of Experiments |
Montgomery |
5th |
2001 |
Wiley |
Sci |
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This is a popular book used as textbooks in many famous universities in US. It covers the basic designs as well as a few advanced designs. If you are good in mathematics, this will be a good reference book. |
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Software handbook: MINITAB Handbook, 4th edition, by Ryan and Joiner, published by Duxbury.
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Schedule: (subject to change) |
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Aug 13 |
Introduction; one-way ANOVA |
Oct 1 |
Midterm test |
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Aug 20 |
One-way ANOVA; power |
Oct 8 |
Fractional factorial designs |
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Aug 27 |
Multiple comparisons |
Oct 15 |
Fractional factorial designs |
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Sep 3 |
Two-way ANOVA |
Oct 22 |
Orthogonality |
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Sep 10 |
Latin square designs; two-level factorial designs |
Oct 29 |
Nested designs |
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Sep 17 |
Two-level factorial designs; confounding |
Nov 5 |
Reading week |
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Sep 24 |
Confounding |
Nov 12 |
Review, last tutorial & project submission |
The final exam is scheduled on Nov 26th, 7-9 pm at LT31.
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Lecture Notes: (subject to minor change) |
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Tutorials: (Chapters and pages are referred to the compulsory textbook.) |
Venue: S16/05-102 (Lab 2); Time: 6:00-6:45 pm for group one and 8:45-9:30 pm for group two.
Each student will be asked to present once in the whole semester. You can either present solutions for the tutorial or present other relevant problems for 15 minutes per person. The presenters must send a soft copy of their presentation documents to stafank@nus.edu.sg by Tue. The list of presenters for the next tutorial will be posted here every Thur.
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Tutorial One |
Chapter
2 (p. 49): Exercise 1, 2, 3; Chapter 3 (p. 85): Exercise 2, 3.
Basic calculations for one-way Anova and practice for getting familiar with MINITAB. Handout for MINITAB. |
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Tutorial Two |
Chapter
3 (p. 85): Exercise 4, 5, 6, 9; Chapter 4 (p. 126): Exercise 10, 11, 12.
Power calculation, sample size finding, and multiple comparisons. |
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Tutorial Three |
Chapter
6 (p. 193): Exercise 2, 6, 12, 13, 14, 15.
Two-factor Anova. |
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Tutorial Four |
Chapter
8 (p. 240): Exercise 1, 2, 3, 11, 16.
Latin Square designs. |
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Tutorial Five |
Chapter
9 (p. 282): Exercise 5 (addition: draw the interactions plot of A
and B at each level of C), 8, 22, 23.
Two level factorial designs. |
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Tutorial Six |
Chapter 10 (p. 308): Exercise 1, 2, 13, 14 and an
additional question.
Confounding scheme. |
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Tutorial Seven |
Chapter
11 (p. 354): Exercise 7, 8, 9, 10. Fractional factorial designs. |
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Tutorial Eight |
Chapter
11 (p. 354): Exercise 11, 12, 15, 16.
Fractional factorial designs. |
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Tutorial Nine |
Chapter
5 (p. 151): Exercise 1, 2, 3, 7, 8, 9, 10.
Contrast. |
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Tutorial Ten |
Chapter
7 (p. 214): Exercise 1, 3, 4, 5, 6, 9.
Nested designs. |