MAT 3378 3X - Spring 2010
Assignment 3 : Deadline: Friday, July 9 (In Class)
Question 1: A research laboratory was developing a new compound for
the relief of severe cases of hay fever. In an experiment with 36 volunteers, the
amounts of the two active in
MAT 3378 3X - Spring 2010
Assignment 1 : Deadline: Tuesday, May 25, 2009 (In Class)
Question 1:
1. An automotive engineer was interested in the eect of four alternative
rubber compounds on the life of automobile tires. To carry out the study,
ve tires wer
MAT 3378 (Winter 2016)
FINAL EXAM (PRACTICE)
19 April 2016
Professor: R. Kulik
Time: 180 minutes
Student Number:
Family Name:
First Name:
This is closed book exam. F -tables are attached. Selected quantiles of t-distribution can be
found on the next page.
MAT3378 (Winter 2016)
Assignment 5 - SOLUTIONS
The following questions will be marked: Q1
Total number of points for Assignment 4: 10
Q1. A researcher studied the sodium content in lager beer by selecting at random six brands from the large number
of bran
MAT 3378 (Winter 2016)
FINAL EXAM
19 April 2016
Professor: R. Kulik
Time: 180 minutes
Student Number:
Family Name:
First Name:
This is closed book exam. F -tables are attached. Selected quantiles of t-distribution can be
found on the next page. You are al
MAT3378 (Winter 2016)
Assignment 4 - SOLUTIONS
Total number of points for Assignment 4: 15
Q1. (6 points) In a two-factor study, the treatment means ij are as follows:
Factor A / Factor B
1
2
1
2
250 265
288 273
3
268
270
4
269
269
(a) Obtain the factor B
MAT3378 (Winter 2016)
Assignment 2 - SOLUTIONS
The following questions will be marked: Q1, Q2, Q4
Total number of points for Assignment 1: 12
Q1. (4 points) Assume that Z1 , . . . , Zn are i.i.d. normal random variables with mean and variance 2 . Let Z be
MAT 3378 - Winter 2016
Study Guide for Final Exam
You will be allowed to have one A4 sheet (double-sided) of notes. Midterm
date: April 19, 2016
1
Topics
1. One-Factor ANOVA with fixed effects;
2. Two-Factor ANOVA with crossed-factors (fixed effects, rand
MAT3378 (Winter 2016)
Assignment 3 - SOLUTIONS
The following questions will be marked: 2a),b),c), 3, 5
Total number of points for Assignment 3: 13
Q1. (Normality)
(1) Simulate data from a normal distribution. Plot boxplot, histogram and qq-plot. Apply Jar
MAT 3378 (Winter 2016)
MIDTERM EXAM (PRACTICE)
2 March 2016
Professor: R. Kulik
Time: 70 minutes
Student Number:
Family Name:
First Name:
This is closed book exam. You are allowed to use one double-sided A4 sheet of notes. Only
non programmable calculator
MAT3378 ANOVA Summary
April 18, 2016
Before you do the analysis:
How many factors? (one-factor/one-way ANOVA, two-factor ANOVA etc.)
Fixed or Random or Mixed effects?
Crossed-factors; nested factors or partially nested factors?
The same or different s
MAT 3378 3X
Midterm Examination (Solutions)
[5]
1. An experiment with a completely randomized design was run to determine whether four specic ring temperatures aect the density of a
certain type of brick. Overall the experiment yielded for nT = 13 experim
MAT 3378 (Winter 2016)
MIDTERM EXAM
2 March 2016
Professor: R. Kulik
Time: 70 minutes
Student Number:
Family Name:
First Name:
This is closed book exam. You are allowed to use one double-sided A4 sheet of notes. Only
non programmable calculators are permi
MAT 3378 (Winter 2016)
MIDTERM EXAM (PRACTICE)
2 March 2016
Professor: R. Kulik
Time: 70 minutes
Student Number:
Family Name:
First Name:
This is closed book exam. You are allowed to use one double-sided A4 sheet of notes. Only
non programmable calculator
MAT3378 (Winter 2016)
Assignment 3
Due date (Assignment 3): March 16, 2016
Note: You have to drop off your assignment in the lobby of KED585 building. There will be a box marked
MAT3378. It is advised that you make a copy of your assignment.
Note: I will
MAT 3378 3X - Spring 2010
Assignment 2 : Deadline: Friday, June 25 (In Class)
Question 1: Suppose that ve normal populations have a common variance
of 2 = 100
(a) The means are 1 = 175, 2 = 190, 3 = 160, 4 = 200, 5 = 215.
Assuming a balanced design of n =
MAT 3378 3X - Spring 2010
Assignment 2 : Deadline: Friday, June 25 (In Class)
Question 1: Suppose that ve normal populations have a common variance
of 2 = 100
(a) The means are 1 = 175, 2 = 190, 3 = 160, 4 = 200, 5 = 215.
Assuming a balanced design of n =
MAT 3378 - Fall 2009
Assignment 5 :
Deadline: Friday, July 16, 2009
(in class)
Question 1: Consider a repeated measures design model:
Yij = . + i + j + ij ,
2
where the subject eects are i independent N (0, ),
r
the treatment eects satisfy i=1 j = 0,
the
MAT 3378 (Winter 2010)
Final Examination - Solutions
Spring 2010
Duration: 3 hours
Professor G. Lamothe
Student Number:
Last Name:
First Name:
This is a closed book examination.
Only non-programmable and non-graphic calculators are permitted.
Two sheet
MAT 3378
Midterm Examination
June 4, 2010
Duration: 105 minutes
Professor G. Lamothe
Student Number:
Last Name:
First Name:
This is a closed book examination. However one formula sheet
is permitted.
Only non-programmable and non-graphic calculators are
MAT 3378 3X - Spring 2010
Assignment 1 - solutions
Total = 20 points
Question 1: [6 points]
1. An automotive engineer was interested in the eect of four alternative
rubber compounds on the life of automobile tires. To carry out the study,
ve tires were ma
MAT 3378 3X - Spring 2010
Assignment 3 - Solution
Total = 18 points
Question 1: A research laboratory was developing a new compound for
the relief of severe cases of hay fever. In an experiment with 36 volunteers, the
amounts of the two active ingredients
MAT 3378 - Spring 2010
Assignment 4 :
Question 1: Consider a repeated measures design model:
Yij = . + i + j + ij ,
2
where the subject eects are i independent N (0, ),
r
the treatment eects satisfy i=1 j = 0,
the random errors ij are independent N (0, 2
MAT 3378 - Winter 2016
Study Guide for Midterm
You will be allowed to have one A4 sheet (one-sided) of notes. Midterm
date: Wednesday March 2, 2016
1
Topics
1. ANOVA for small data set; computations without using R - Assignment
1, Q1; Midterm Practice, Q1
MAT 3378
ANALYSIS OF EXPERIMENTAL DESIGN
Winter 2016
Instructor:
Rafal Kulik
Department of Mathematics and Statistics
585 King Edward Av.
Office 203D
Phone: 562-5800 Ext. 3526
Email: [email protected]
Schedule:
Friday LEC 14:30-16:00 Morisset Hall (MRT) R
MAT3378 (Winter 2016)
Assignment 1 - SOLUTIONS
The following questions will be marked: Q1, Q3, Q4
Total number of points for Assignment 1: 14
Q1. (You may refer to Question 16.9 in the textbook. The question has been modified.)
A rehabilitation center res
MAT 3378 3X - Spring 2012
Assignment 3 - Solutions
Question 1: Consider the SENIC data from Appendix C.1. The variables
are explained on page 1348. We would like to know if the mean length of stay
(variable 2) is the same in the four geographic regions (v