STA305 H5S: Experimental Design Winter 2018
Instructors: Samir Hamdi
Due Date: Tuesday Feb. 13th, 2018 at beginning of lecture (sharp).
Late assignments will not be accepted.
Assignment Policies:
Assignment # 1
• Each assignment should be original and contain different selected examples and
unique answers.
• Presentation of solutions is important:
• Format, spelling, and grammar will be marked in addition to the statistical
aspects.
• Assignments should be word-processed and presently neatly. Use the following
format: Times New Roman or Arial size 12 font, single spaced, printed double-
sided on 8.5 × 11 inch paper and stapled together in the top left corner, without any
other packaging.
• Attach the cover page (provided) at the front of your assignment. (Be sure to
include an appropriate title for your assignment and fill in/circle all the information
required).
• For marking purposes, include the question numbers/part letters (1a,b,c, etc.) in
your answers so you can see how many marks you earned for each part.
• At the end, include an Appendix with any extra information (that need not be
included in the body of the assignment) and include references. Your references
may include other sources that you referred to for background information and
technical details about the study chosen. You should not use references to identify
the statistical definition or answer the actual assignment questions.
Instructions:
• Assignments are individual work. Only general discussion is permitted between
students. You must hand in solutions in your own words. Do not let others see your
solutions or your selected article. It is plagiarism (a serious academic offence) to submit
solutions in other people’s words (including but not limited to other students, the
instructor’s, solutions from previous years or courses, websites, etc). You are responsible
for knowing and adhering to the University of Toronto’s Code of Behaviour on Academic
Matters (see course outline).
• Assignments are due at beginning of the lecture on the due date. Late assignments
(submitted later on in the lecture or during the day) will not be accepted. It is your
responsibility to hand it in on time -if you cannot make it to the lecture, you can submit
through a colleague. Electronic submissions will not be accepted.
The Plasma Etching Experiment
To illustrate the analysis of variance, return to the first example discussed in text
book. Recall that the engineer is interested in determining if the RF power setting
affects the etch rate. A completely randomized experiment is conducted with four
levels of RF power and five replicates. In this assignment, you are asked to perform.
the same statistical analysis with the data provided in the file etchrate.txt. You
will reproduce similar results, tables and graphs by manual calculations and also
using numerical computation with R. These are the examples to be studied from your
text book
a) Example 3.1
b) Example 3.3
c) Model Adequacy Checking:
check the normality assumption and plot the normal probability plot of
residuals
Plot of residuals in time sequence
Plot of residuals versus fitted values
d) Example 3.4
e) Perform. a practical interpretation of results using linear and quadratic
regression models
f) Example 3.6 with orthogonal contrasts
g) Scheffé's Method for comparing all contrasts
h) Example 3.7 (Tukey method)
i) Example 3.8 (LSD method)
j) Example 3.9 (Dunnett method)
More questions will be added shortly.
Question 1: