SIMON FRASER
MEMORANDUM
UNIVERSITY
f 77
/c(
. ?
To ........ .
Senate
?
.From.. .
Senate Commi tee on
Ugr.aduai
Studies
Subject ......
çhang.s—
?
tI-mtic.
.
Date
..... November
.
2
. 1 ......i.-i.
Action taken by the Senate Committee on Undergraduate
Studies at its meeting of November 8, 1977 gives rise to
the following motions:
MOTION 1
"That the proposed changes in description,
prerequisite, title and syllabi, as set
forth in S.77-155, be approved and recom-
mended to the Board for approval. These
changes are specifically as follows:
i)
Changes in Description
MATH
154-3
. ?
MATH
155-3
ii)
Prerequisite Changes
MATH
161-3
MATH 343-3
MATH
443-4
iii)
Title Change —
MATH
371-3
iv)
Change in Description, Title, Syllabus
—
MATH
489-4
v)
Change in Title, Description, Prerequisites
and Syllabus —
MATH
490-4
.fl%mflsw -'
"That the proposed new courses, MATH 404-3
(Statistical Design and Analysis of
Experiments) and MATH 480-3 (Non Parametric
Statistics) , as set forth in S.77-155, be
approved and recommended to the Board for
approval.
Note — The first of these courses, MATH 404, is
intended as a "service course" for students requiring
statistical tools for use in research. The second, MATH 480,
is designed for the student specializing in statistics as a
field of mathematics. The non-specialist will be admitted
provided he/she has an adequate mathematical background.
S
D. R. Birch
DRB/cg
SiMON FRASER UNIVERSITY
Sos
77-4
MEMORANDUM
• ('To ?
H .
Evans
Secretary, SCUS
MATH 154-3 and MATH 155-3 ?
Subject ...
Changes in Calendar
?
criptjon
At its meeting of October 28, 1977, the Faculty of Science
unanimously approved changes to the Mathematics entry in the Undergraduate
Calendar. These changes are outlined in the attached memorandum dated
October 20, 1977 and are herewith submitted to the Senate Committee
on Undergraduate Studies for further consideration.
N. Heath
/ad
Attachment
,I*
I-
SiMON FRASER UNIVERSITY
MEMORANDUM
Members
0
£ theF aculy
.
p
.. ...Sc.ience.
Subject
............
.
MATh154
CALENDAR CHANGES
From ?
Ann Dawe
?
....................................
S
Secretary to
.
the
.
Dean ?
............................
Date...... ..... ...
October
....
20,1.97.7
......................................... ......... .....
At its meeting of October 18, 1977, the Faculty of Science
Undergraduate Curriculum Committee approved the following changes to
the Mathematics entry in the Undergraduate Calendar:
MATH 154-3: reads at present
'The logarithmic, trigonometric,
and exponential function. Limits and continuity. The derivative
and techniques
of
differentiation. Maxima, minima, the mean
value theorem. Applications for the Biological Sciences'.
Change approved by the Faculty of Science Undergraduate
Curriculum Committee:
'This course is designed for students
specializing in the biological and medical sciences. Topics
include: limits; growth rate and the derivative; logarithmic,
exponential and trigonometric functions and their applications
in population study; optimization and approximation methods'.
MATH 155-3: reads at present
'The integral. Techniques
of
integration. Differential equations. Partial differentiation.
Applications to the Biological Sciences'.
Change approved by the Faculty of Science Undergraduate
Curriculum Committee:
'The integral and its applications;
partial derivatives; differential equations and their applications
in ecology; mathematical models
of
biological processes'.
The Committee noted that there was no change in the syllabus
of either MATH 154-3 or MATH 155-3. The purpose of the change
in the calendar descriptions is to improve the current calendar
descriptions so that they provide a better indication as to the emphasis
and nature of the two courses.
The changes in the calendar descriptions of MATH 154-3 and
MATH 155-3 are herewith forwarded to the Faculty of Science for
further consideration.
/ad
?
0
SiMON FRASER UNIVERSITY
MEMORANDUM
• 'To....................M.
Evans
?
From
?
N.
Heath
Secretary, SCUS
?
Assistant to the Dean of Science
Subject...
MATH 161
7
3: Prerequisite Change
?
Date
?
October31.977
At its meeting of October 28, 1977, the Faculty of Science
unanimously passed the following motion:
"That
the prerequisite for MATH 161-3 be changed from
'Math
151-3
or
154-3
must precede or be taken concurrently'
to
'Math
1.52-3
or Math
155-3
or Math
158-3
must precede
or be taken concurrently'."
The rationale for the proposed change is contained in the
attached memorandum dated October 4, 1977.
This motion is herewith submitted to the Senate Committee
on Undergraduate Studies for further consideration.
.,
N.
Heath
/
ad
Attachments
SIMON FRASER UNIVERSITY
?
MEMORANDUM
o................... .Dr.......
D. Ryeburn ?
.From........Dr..,.N.R....Rei.1.y.
,1................................................................
Chairman ?
Chairman
....................
?
P.. ?
G ?
...
...................
?
4.
.Mathematics ... Department ......................................... ..
Subject ..........
Math 161-3
?
prerequisite ?
Date.. October ...
?
.....1.9.7.7. ................................................ ..............
The Department of Mathematics wishes to change the prerequisite
for Math 161-3, Statics. The current prerequisite for the course reads
as follows: "Math 151-3 or 154-3 must precede or be taken concurrently"
It is proposed that this prerequisite be changed to:
"Math 152-3 or Math 155-3 or Math 158-3 must precede or be
taken concurrently".
It has been the experience of the instructors in this course that
those students who are only taking their first calculus course concurrently
with this course are inadequately prepared in the very early stages where
it is essential to have some familiarity with differentiation. In addition,
later parts of the course require a knowledge of definite and indefinite
integration and consequently it is essential that students at least take their
second calculus course concurrently with Math 161.
40e-
"5:
N.R. Reilly
NRR/lh
n
SiMON FRASER UNIVERSITY
?
MEMORANDUM
'
To. ?
H.M. Evans
?
.
?
From ?
N.
Heath ?
.
Secretary, SCUS ?
......
?
Assistant to the..
?
............
MATh
343-3
and MATH
443-4:
Subject..
Prerequisite
Changes ?
.Date.. .
?
October 31, . 197.7.....................................................
At its meeting of October
28, 1977,
the Faculty of Science
unanimously passed the following motions:
"That
the
prerequisite
for Math 343-3 be changed from
'Math 232-3 and either knowledge of a programing
language
or CMPT 103-3 (or 102-2)'
to
'Knowledge of PE11 or Fortran
or (with permission of the instructor) Algol or APL, and
either MATH 243-3 or CMPT 205-31."
"That the prerequisite for Math 443-4 be changed from
1
15 semester hours
of mathematics reconDnended'
to
'Math 243-3'."
The rationale for the proposed changes is contained in the
attached
memorandum
dated
October 4, 1977.
•
?
?
These motions are herewith submitted to the Senate Committee
on Undergraduate Studies for further consideration.
: 0 ^ ^
N. Heath
/
ad
Attachmen
ts
.,
SiMON FRASER UNIVERSITY
MEMORANDUM
.
Dr. D. Ryeburn
Chairman
Facultyof Science U.G.C.C.
Subject ?
Math 343-3 and 443-4: Prerequisite.
Change
From, ?
N..
Dr.
R
.
. Reilly ?
Chairman
Mathematics Department
Date ?
October 4, 1.9.7.7
The Department of Mathematics wishes to change the prerequisites
for Math 343-3 Combinatorial Aspects of Computing, and Math 443-4
Combinatorial Theory.
The present calendar entry for the prerequisites for Math 343-3
is: "Math 232-3 and either knowledge of a programming language or
CMPT 103-3 (or 102-2)".
At the Senate meeting on July 4, 1977, along with changes to
several courses involving programming language prerequisites, this was
changed to: "Math 232-3 and knowledge of PL/l or FORTRAN, or (with
permission of the instructor) ALGOL or APL". However, Math 232-3 was
required as a prerequisite in order to ensure that students had
sufficient maturity in algebra and not due to any specific need of a
knowledge of linear algebra. However, Math 243-3, Discrete Mathematics
or Cmpt 205-3, Introduction to Formal Topics in Computing Science, now
make excellent prerequisites (Cmpt 205-3 is not presently listed in the
calendar but was approved by Senate on Monday, October 3, 1977.)
It is therefore proposed that the prerequisite for Math 343-3 be
changed to:
"Knowledge of PL/1 or Fortran or (with permission of the instructor)
Algol or APL,and either MATH 243-3 or CMPT 205-3."
The current prerequisite for Math 443-4, Combinatorial Theory reads:'
15 semester hours of mathematics recommended. It is proposed that the
new prerequisite be Math 243-3.
Once again, when Math 443-4 was introduced there were no appropriate
lower level courses that could serve as prerequisites. With the introduction
of Math 243-3 this situation has changed and it is now appropriate to
introduce Math 243-3 as a prerequisite course.
N.R. Reilly
NRR/lh
SiMON FRASER UNIVERSITY
MEMORANDUM
To
?
H. M. Evans ?
.... .
?
...........
?
From ?
N.
Heath
.
Secretary, SCIJS
?
Assistant to the
Dean ... Q
. ..
...
Science
Subject....
MATH 371
7
3: Change in Title
?
.
?
Date. ?
October 31,.
.1.977
At its meeting of October 28, 1977, the Faculty of Science
unanimously passed the following motion:
"That the title of MATH 371-3 be changed from
'Introduction to Probability'
to
'Introduction to
Probability and Statistics'."
The rationale for the proposed change is contained in the
attached memorandum dated October 4, 1977.
This motion is herewith submitted to the Senate Committee
on Undergraduate Studies-for further consideration.
N.
Heath
/ amd
Attachments
444
-
SiMON FRASER UNIVERSITY
?
MEMORANDUM
,
Dr. D. Ryeb,urn
?
From. ?
Dr. N.R. Reilly
Chairman ?
Chairman
Faculty ofScience IJ.G.C.C.
?
Mathematics Department
Subject ?
Math 371-3
I.
Change of Title
?
.Dat
e
....
.
October 4,
...
.
The Department of Mathematics wishes to change the title of
Math 371-3. It is proposed that the title of this course be changed
from "Introduction to Probability" to "Introduction to Probability
and Statistics".
The main reasons for this proposal are twofold. On the one
?
hand it is believed that this title is a more accurate reflection of
the syllabus for this course. (Note, for instance, that the recommended
texts for the course are: Mathematical Statistics by Freund, Introduction
to the Theory of Statistics by Mood and Graybill and Probability and
Statistics by M. DeGroot). The second reason is that this is the main
entry point for students wishing to pursue a course of studies in mathematical
statistics and it should therefore have an appropriate label.
N.R. Reilly
NRR/lh
.
0
SiMON FRASER UNIVERSITY
?
MEMORANDUM
To,
?
H..
M. Evans ? ........................From
?
N.
Heath
Seary,
scus ?
.
MATH
?
to the Dean of Science
MA 489-4: Change in calendar
Subject...
descrjp, on,,,.
title ?
..
U ?
....
,
and, sy
abus ?
.Date ?
October 31., .19
.
7
.......................................
At its meeting of October 28, 1977, the Faculty of Science
unanimously approved the following changes with regard to MATH 489-4:
(i)
Change in Calendar Description
from:
'Estimation and tests
of
hypotheses. Correlation,
regression, non-parametric tests. Introduction to analysis
of
variance'
to:
'Estimation and tests
of
hypotheses. Correlation,
regression. Bayesian and sampling theory approaches
to inference'.
(ii)
Change in title
from:
Mathematical Statistics I
to: ?
Mathematical Statistics
(iii)
Change in Syllabus
The proposed new syllabus is attached hereto.
The rationale for these changes is contained in the attached
memoranda dated October 3, 1977, September 30, 1977 and October 19, 1977.
These changes are herewith submitted to the Senate Committee
on Undergraduate Studies for further consideration.
N.
Heath
/ad
Attachments
S1MO1k FRAE]1 UNIVERSITY
?
MEM94NPYM
Dr. D. Ryeburn
?
. ?
From ?
Dr. N.R.Reilly
..........................
Chairman
?
Chairman
Faculty of
..
Scj
.
ence ?
C.r.
0
?
........S..
?
Mathematics .Pepar.ire!
t..
............ ...... ...................
Date
Subject .......
....Math
?
49 ?
........................
?
.... ?
...QFtP.h
?
r. .3,
?
.9.7.7..........................................................
The Department of Mathematics wishes to change the current calendar
description and to make some minor changes in the syllabus of Math 489.
The present calendar description reads as: "Estimation and tests of
hypotheses. Correlation, regression, non-parametric tests. Introduction
to analysis of variance.". The proposed new calendar entry would
read as follows: "Estimation and tests
of
hypotheses. Correlation,
regression. Bayesian and sampling theory approaches to inferenc.".
It is felt that this description is a more accurate reflection
of the course as it is currently offered. The main item being removed
from the syllabus and calendar descripipn is that of non-parametric
tests. The previous syllabus was simply overambitious in this respect
and in reality very little was done on this topic. In addition, with.
the introduction of a new course devoted to non-parametric tests there
is no longer any need to attempt to touch upon this topic in Math 489.
Due to the accompanying proposed changes in the prerequisites for
Math 490, it is felt that this is an appropriate time to change the title
of both courses which are presently labelled Mathematics Statistics I
and Mathematics Statistics II. It is proposed that the title of Math 490
be changed to linear Models in Mathematical Statistics and therefore it
seems appropriate to change the title of Math 489 from Mathematical Statistics I
to Mathematical Statistics.
/t
,uc-w1
N.R. Reilly
NRR/li
0
SiMON FRASER UNIVERSITY
MEMORANDUM
Dr Ryeburn Chairman
?
From
C.Y. Shen,
?
.
Faculty of Science Undergraduate
?
Undergraduate Studies Committee
St1.1dies ... Committee ....................... . ..........
..................................
?
Ia ?
matics Departme nt
Subject ......
MATh ...
.489-4 ...
ar*....
M
1TH
49.Q-,4 .... . ................... .............. .
Date ... . .....
Ptefl!be r 39.1977
The Mathematics Department wishes to change the prerequisite of Math 490
(Mathematical Statistics II) from "Math 232-3 and Math 489-4 (Mathematical Statistics I)'
to "Math 232-3 and Math 371-3".
In
view of the material covered in Math 489 and
490 they are more like two parallel courses rather than sequential as their names
suggest. Originally the requirement of Math 489 was designed to enhance the
maturity and sophistication of students entering Math 490 and only to a minor
extent for reasons of material covered. Our experience, during recent years,
has been that the quality of students entering these courses has improved
substantially so that maturity is no longer a problem. The new prerequisite of
Math 490 (Math 371 in place of Math 489) is comparable to that of Math 489.
Also, we wish to
give new
titles and calendar
descriptions to these two
courses (see accompanying
papers).
They are designed
to provide a better
description of the nature
of these
two courses rather than a change in content.
Y JA.)
C. Y. Shen
CYS/dr
These proposals were approved at the meeting of the Department of Mathematics
held on Monday, October 3, 1977.
N.R. Reilly
0
MATHEMATICS 489-4
MATHEMATICAL STATISTICS
?
.
1.
Joint, marginal and conditional distributions. Transformations of
joint distributions.
2.
Prior and posterior distributions. Utility and loss functions.
Bayesian decision theory.
3.
Confidence and likelihoqd intervals. Bayesian and sampling theory
methods for testing hypotheses.
4.
Applications of the above methods to comparing means and variances of
two normal populations.
S. The method of last squares. Bayesin and sampling theory approaches
to regression and correlation.
.
PREREQUISITE:
MAIF! 253-4 and 371-3
TEXT: Probability
and
Statistics by M. DeGroot, Addison-Wesley
OR
As noted in textbook list, Mathematics Departnieflt
19/10/77
SiMON FRASER UNIVERSITY ?
MEMORANDUM
To.............. H .... . .. ...............
M
Evans
...........................................................
From.
Secretary, SCUS
MATH 490-4: Change in Title, Calendar
Subject .... ..Pc p.tiøn.,, .Prereqi4sites, and
?
.Date..
Syllabus
N. Heath
Assistant to the Dean of Science
October 31, 1977
At its meeting of October 28, 1977, the Faculty of Science
unanimously approved the following changes with regard to MATH 490-4:
(1) Change in Calendar Description:
from:
'Linear mode is, analysis
of
variance and an
introduction to the design
of
experiments'
to:
'Linear models, analysis
of
variance and covariance,
multiple regression, introduction to the design
of
experiments'
(ii)
Change in Title
from:
Mathematical Statistics II
to:
.
?
Linear Models in Mathematical Statistics
(iii)
Change in Prerequisites
from: 'Math
232-3
and 489-4'
to: ?
'Math
232-3
and
371-3'.
(iv)
Change in Syllabus
Changes in the syllabus were made at the request of the
Faculty of Science Undergraduate Curriculum Committee.
The Committee felt that the changes to the syllabus were
necessary in order that the syllabus would more accurately
reflect the new calendar description. The Faculty of Science
agreed to the changes in the syllabus.
The rationale for the changes in calendar description, title,
and prerequisites are contained in the attached memoranda dated
October 6, 1977 and September 26, 1977.
These changes, as outlined above, are herewith submitted
to the Senate Committee on Undergraduate Studies for further consideration.
N. Heath
/ad
-St MON FR
:SER L1MVERSIW
MEMORANDUM
FromDr....N..R....Reilly
Chairman
?
Chairman
9fS.c.i.c.e....U.....G...0
?
.Mwth.einati.cs Department..
Subject......
?
Math-
ch
g ?
....ip Ti.t...e., ..... .... ..... ........
?
Dale. ?
1977
.
Calendar Descrption Pr.erequisit
The Department of Mathematics wishes to change the title of Math 490
from Mathematical Statistics II to
Linear Models in Mathematical Statistics
and to change the calendar description from "linear models, analysis of
variance and an introduction to the design of experiments" to
"Linear models, analysis
of
variance and covariance, multiple
regression, introduction to the design of experiments."
This does not
involve
any change in the syllabus for the course but
it is felt that
the
proposed new title and calendar description are more
descriptive of
the
actual contents on the course.
It is also proposed to change the prerequisite for Math 490 from
"Math 232-3 and 489-4" to:
Math 232-3 and 371-3.
The reason for requiring Math 489 as a prerequisite for Math 490 in the
past
was
not
based
on the need for students in Math 490 to have been exposed
to the specific content of Math 489 but
ra
ther to ensure that the students
had attained a sufficient maturity in mathematics and statistics. From
time to time the requirement has been waived and students have been admitted
directly from,
Math
371 without experiencing any obvious disadvantage. As a
consequence, it is felt that it is now appropriate to make a change in the
prerequisite.
Since
Math
253 was
a
prerequisite for Math 489 it was also therefore a
prerequisite for
Math
490. However, although it should continue to be a
prerequisite f.r Math 489, it is not considered to be a nessesary prerequisite
for Math 490
. .
W
ith
M
a t
h 371 as a prerequisite for Math 490 there is an
implied prerequisite of two
calculus
courses and this is considered to be
sufficient preparation for Math 490.
In addition, these changes will allow for greater flexibility in the
scheduling of this course and in the planning of students' programnés.
Reilly
NRR/lh
.,.
SiMON FRASER UNIVERSITY
?
MEMORANDUM
To .................... Members ofthe
?
te
Committee
Mthexnatic.s .... epartxnent....................................
Subject .......... M.a.t....4.9.0-.. ...
.Change .............. .... ....
............... ...
........
From.........
Eaves
Math?mat
j
cs
.... pepartmE . n t
Date
This change constitutes a removal of 489-4 as a prerequisite of
490-4. 371-3 is already a prerequisite of 489-4. 489-4 has heretofore
been a prerequisite of 490-4 largely to enhance the maturity and
sophistication of students entering 490-4, and only to a minor extent
for reasons of material covered. The quality of students entering
these courses has improved substantially, so that maturity is no
longer a serious problem.
71
D. Eaves
/lh
....
MATHEMATICS 490-4
Linear Models in Mathematical Statistics
1. The multivariate normal distribution.
2. Distribution theory of quadratic forms in normal variables.
3. The general linear model: matrix formulation.
4. Application of the linear model to analysis of variance: one-way,
and two-way crossed and nested models, with distribution theory of
the ANOVA table. Tests of appropriate hypotheses. Effects of failure
in model assumptions.
5. Applications of the linear model to (a) multiple regression
(b)
curvilinear models
including use of orthogonal polynomials
(c)
analysis of covariance.
6. Introduction to design of experiments.
PREREQUISITES: MATH 232-3 and 371-3
TEXT: An Introduction to Linear Statistical Models, Vol. 1
by Graybill
OR
As noted in the Textbook List, Mathematics Department
.
Oct. 1977
?
1 ?
0
SiMON FRASER UNIVERSITY
MEMORANDUM
To ?
Evans ?
.
.
From ?
N. Heath
?
, SCUs. ...
..........
............................
.....
?
Assistant to .he
Dean
of,.Sc.i.en.c.e.......
Subject....
.
New
Course Proposal: ?
MATH 404-3
?
.Date., ?
October
.
31
.
,. .19.77 ..........................................
At its meeting of October 28, 1977 the Faculty of Science
unanimously approved a new course proposal, MATH 404-3 "Statistical
Design and Analysis of Experiments".
The budgetary implications of this course are set out
in the attached memorandum from, Dr. N.R. Reilly dated October 31, 1977.
The proposed course has been circulated for course over-
lap; to date no replies have been received indicating any overlap.
The proposed course is also being reviewed by Mr. L.
Thomas, who has been requested to confirm the statements on the New
Course Proposal Form concerning the library collection.
The course proposal is herewith submitted to the Senate
Committee on Undergraduate Studies for further consideration.
/t'mtJ
N. Heath
/ad
Attachments
0
SiMON FRASER UNIVERSITY
?
MEMORANDUM
Dr. D. Ryeburn
.
From ?
.
Dr. N.R. R•ey
.
Chairman, Faculty o
.
f Science ?
Chairman
Undergraduate Curriculum Cttee
?
.
?
Mathematics Depart..!t
Subject ?
Budgetary Implications of
MATH
3
.T° ?
Date....
........October 31
.
,... 1977......................................................
337-0, 436-0, 437-0, 404-3
?
480-3.
The SCUS forms list these courses as having no faculty budgetary
implications.
MATH
336-0, 337-0, 436-9 and 437-0 replace MATH 450-8.
The faculty members now supervising
MATH
450-8 will supervise these
four Job Practicum courses. No increase in teaching credit is envisaged.
MATH 404-3 (Stti,stical Design and Analysis of Experiments) and
MATH 480-3 (Non-Parametric Statistics) will be taught by present members
of the Department specializing in statistics. An additional faculty
position in statistics was authorized and filled last year; That
appointment provided the hCcssary manrower to mbiinf these coUrses
and was authorized, in part, with this specific objective in mind.
N.. Reilly
NRR/lh
....
?
.
Appendix B3
SENATE COMMITTEE ON UNDERGRADUATE STUDIES
COURSE PROPOSAL FORM
Ca
l
e
ndar Information ?
Department: ?
Mathematics
Abbreviation Code:
M ATH
Course Number: 404_ Credit Hours:3
?
Vector
?
.z
i
n
Title of Course:
?
Statistical Design and Analysis of Experiments
Calendar Description of Course: Design of experiments, factorial experiments,
block designs and confounding; analysis of variance; analysis of covariance;
regression and multiple regression.
Nature of Course
?
Lecture/Tutorial
Prerequisites (or special instructions): Math 302 or Math 371. Permission
will be given to students from other departments with suitable backgrounds.
What course (courses), if any, is being dropped from the calendar if this course is
approved: None
Sr
2. Scheduling
How frequently will the course be offered? Once per year.
Semester in which the course will first be offered? 79-1
Which of your present faculty would be available to make the proposed offering
possible: Dr. Stephens, DeJong
S
ob
jectives of the Course
T his course is intended to provide a natural sequel to
Mathematics 302-3. It will cover some of the major advanced techniques of
applied statistics (most univariate) especially those used in industrial and
economic applications.
4. Budgetary and Space Requirements (for information only)
What
additional resources will be required in the following areas:
Faculty
Staff
Library
?
None.
Audio Visual
Space
Equipment
Date: 2-40
4 gar
15 -17
?
^/7
?
Department Chairman
?
DeAh ?
Chairman, SCUS
SCUS 73-34b:- (When
completing this form,
for instructions see Memorandum SCUS 73-34a.
Attach course outline).
Statistical Design and Analysis of I*perients?
MATH 404-3
1. Brief review of:
(a)
Distribution of randoii ra'iahIès, exjected values
(b)
Sampling from N(p,
2
) with the genetatio of chi-squared,
F and t distribution.
(c)
Two parameter tests with explanation of ?
: ?
Ti2 tet
by t or F , and gènerali'ati.on io one-way ANOVA
(d)
Review of Power and required sample size.
2. Analysis of variance
(a)
One-way analysis (one factor)
(b)
Two or more factors
(c)
Fixed, random and nested models
(d)
Tukev's and Scheffs tests
3. Analysis of covariance
4. Multiple regression
S. Factorial Experiments
(a) 2 nmodels
(h) Latin squares and reco-Latin squares
(c)
Conformity
(d)
Fractional designs
(e)
Incthiiplete
block
desighs
(f)
Response Uffes
PREREQUISITES: Mäh 3i2 di- 4dth 371.
?
iiijissjdh.jjII
i)6 given
:
io
sthdehts
from other Jep4ti1iC1i€s with
UI1i1 ?
kfbind
RECOMMENDED TEXT: tilxdn Fi Masse y
- Inti'ddUctioti tO tastical Ahdiysisi
Mccrat-Hi 11
Jbhr - Statistical
h
eslgii i Ad1ys
oi-
Experiments.
OR
As noted in the Mathematics Department's te*tbook list.
20/10/77
?
.
a
SIMON FRASER UNIVERSITY
MEMORANDUM
- ?
H.M. Evans
?
N. Heath
WTo .......... ?
.. ...............
?
.... ....... ?
.... .............
.... ?
.... ....... ..
?
..... ..... .......
.From, ?
. ?
,..
Secretary, scus
?
Assistant to the Dean of Science
New Course Proposal:. MATH 480-3
?
October 31, 1977
Subject
.................. ....... ..... ?
.....
?
....... ................................
Date
...... ?
...
?
........ ........... ?
. ?
... .. ?
..... ..... .... ..... ... ..........
At its meeting of October 28, 1977, the Faculty of Science
unanimously approved a new course proposal, MATH 480-3 "Non-Parametric
Statistics".
The budgetary implications of this course are set out in
the attached memorandum from Dr. N.R. Reilly dated October 31, 1977.
The proposed course has been circulated for course over-
lap; to date no replies have been received indicating any overlap.
The proposed is also being reviewed by Mr. L. Thomas, who
has been requested to confirm the statements on the New Course Proposal
Form concerning the library collection.
The course proposal is herewith submitted to the Senate
Committee on Undergraduate Studies for further consideration.
N. Heath
/ad
Attachments
..
SiMON WASER UMVIRSITY
?
MEMORANDUM
Dr. D.
Ryeburn
Chairman, Faculty
of Science
Undergraduate Curriculum Cttee.
Subject Budgetary Implications of MAT!-! 336-0,
337-0, 436-0, 47-0,
404-3 ?
40-3.
From .... ...
....
.
D
r
.
N.R.Reilly
Chairman
tics .
Pment
nate...... ..... Pct.obe:r
?
31,..,1
-9-77 .
?
.... ..... .... . ....... . .
The SCUS forms list these courses s
hayg
no fculy b.çgeary
implications. MATH 336-0, 3
.
i7-O
'
?
1icl 4370 replace
MATH
450-8.
The faculty members now spyjs.ng
MATH
450-8 Will
s
p
pQ l
r
yis
p
thes
four Job Practicum çourss,
No
incr
ea
se in ?
1ig p
T^O
it is envisaged.
MATH 404-3 (Statistical
Design
and
AnaJys.is
of Expimpts)
an
MATH 480-3 (Non-Parametric St
a
tisti
cs
)
Will b
e
taught
by present members
of the Department specilizing in statistics. An
additional
fac
u
lty
position in statistics was
aut
h orjed
and fiflpcj
last
year. That
appointment provided the necessary mann
Q
çr to mount these courses
and was authorized,, in part, with thisspccifc objective in mind,,
N.R. Reilly
NRR/lh
.
• SiMON FRASER UNIVERSITY ?
MEMORANDUM
Dr. D. Ryeburn
Chairman
Faculty of Science U.G.C.C.
Subject ?
New Course Proposal ?
Math 480-3
From ?
Dr. N.R. Reilly?
Chairman
Mathematics Department
Date
?
October 3, 1977
The Department of Mathematics wishes to introduce a new course as
follows:
Math 480-3, Non-Parametric Statistics.
Non-Parametric Statistics is a topic which is a standard part of
almost all statistics curricula. Due to inadequate staffing levels in the area
of statistics, it has not been possible to offer such a course in the past but
we now have sufficient personnel to do so and we would like to include it as
part of our regular offerings.
The main objective of the course is to introduce students to statistical
tests in situations where no special assumptions are made regarding parent
distributions.
N.R. Reilly
NRR/lh
0
SENATE COMMITTEE ON UNERGRDUATE STUDIES
NE COURSE PROPOSAL FORM
1.
Calendar information ?
Department: ?
MATHEMATICS
Abbreviation Code:MATH
?
Course Number: ?
480 ?
Credit Hours: 3 Vector: 3-1-0
Title of Course: NON PARAMETRIC STATISTICS
Calendar Description of Course: Non-parametric statistics concerns methods which
do not involve special assumptions of parent distributions; tests based on the
binothIal distribution, contingency tables and chi-squared test; tests for two
or more samples based on ranks and rank correlation statistics.
Nature of Course 'Lecture/Tutorial
Prerequisites (or special instructions): Math 302-3(with a grade of A or B) or
Math 371-3. Permission will be given to students from other departments with
suitable backgrounds.
What course (courses), if any, is being dropped from the calendar if this course is
approved: ?
None.
2. Scheduling
How frequently will the course be offered? Once per year
Semester in which the course will first be offered? 79-1
Which of your present faculty would be available to make the proposed offering
possible? ?
Drs. Stephens, DeJong.
3. Obje ct i
vesoftheCourse This is a natural extension of the topics introduced
in Math 371-3
?
Non-parametric statistics offers methods of analysis without using
normal theory or theory for any particular distribution. It is a very
important area of statistics and essential to a good set of statistics
undergraduate courses.
4.
Budgetary and Space Requirements (for information only)
What additional resources will be required in the following areas:
Faculty
Staff
Library
Audio Visual ?
None
Space
Equipment
5. Approval
Date:_____________
Department Chaiiárf
/77
__.
Chairman, SCUS
SCUS 73-34b:- (When completing this form, for instructions see MemoranduSCUS 73-34a.
Attach course outline).
MATH 480-3
- ?
NON-PARAMETRIC STATISTICS
1.
PROBABILITY THEORY
1.1 Preliminary Remarks
1.2 Counting
1.3 Probability
1.4 Random Variables
1.5 Some Properties of Random Variables
1.6 Continuous Random Variables
2.
STATISTICAL INFERENCE
2.1 Populations, Samples and Statistics
2.2 Estimation
2.3 Hypothesis Testing
2.4 Some Properties of Hypothesis Tests
2.5 Nonparametric Statistics
3.
SOME TESTS BASED ON THE BINOMIAL DISTRIBUTION
3.1 The Binomial Test
3.2 The Quantile Test
3.3 Tolerance Limits
3.4 The Sign Test and Some Variations
4.
CONTINGENCY TABLES
4.1 The 2 x 2 Contingency Table
4.2 The r x c Contingency Table
4.3 The Median Test
4.4 Measures of Dependence
4.5 A Goodness of Fit Test
4.6 Cochran's Test for Related Observations
S. THE USE OF RANKS
5.1 The One-Sample or Match Pairs Case
5.2 A Confidence Interval for the Median
5.3 Two Independent Samples
5.4 A Confidence Interval for the Difference Between Two Means
5.5 Measuresof Rank Correlation
5.6 Several Independent Samples
5.7 Several Related Samples
5.8 The Balanced Incomplete Block Design
5.9 Tests with Efficiency of One or More
6. STATISTICS
OF
THE KOLJ'IOGOROV-SMIRNOV TYPE
6.1 Tests of Goodness of Fit
6.2 Tests for Two Independent Samples
6.3 Tests for Several Independent Samples
...2
- 2--
7. SOME MI
7.1
7.2
7'. 3
74.4
SCELLANEOUS' TESTS
Sbiiè Qüi c•k Tts
A Slippage
Test)
for SeveraT Lhdependëflt Samples
Tests
,
Based on Runs
Fis'hèr' s
?
th'ed of Rnd4za.tiOfl
Recommended
?
Text:
Pr-act ika1 N para11Tetric. St'àt'istic s b! W J'. Conover,
Joh'trWilèy FSons Inc.,
4ewY
?
6rk, London, Sydney,
Toront'o'
0R
rioted' in
.
thèt Mathematics Depa•ftrñent"S textbook list.
PrerequisiteS:. Math3'O2
.
w4th a grade of A- or B
t ) or
,
Math' 371-3.
Vèrmis's4 on- wi I 1 b'e' given to s'tudènts from other
department's with
,
suitable" t5ackgrOnds'.
29/9/77
LI
