(12 points possible)
This week, we discussed a 2000 study in the New England Journal of Medicine (NEJM) that
compared patients with rheumatoid arthritis who were randomly assigned to take either
Vioxx
(18 points possible)
Unit 1 Homework - Question Set 1
A doctor examines a group of healthy adults (presenting to clinic for their annual physical
exams) and records their respiratory rates, shown in t
Overview
Statistics for Health Care
n
Statistics in Medicine @ Stanford University
Basic study designs; measures of
disease frequency and association
Unit 2:
Overview
Teaser 1, Unit 2
Teaser 2, Unit 2
Overview
n
Statistics for Health Care
Introduction to probability and
conditional probability; Bayes Rule;
diagnostic testing
Unit 3:
Overview/Teasers
Teaser 1, Unit 3
n
A classic statistics problem:
Statistics for Health Care
Unit 6:
Overview/Teasers
Overview
Type I and Type II errors and statistical
power; pitfalls of p-values
Overview of statistical tests
Teaser 1, Unit 6
A prospective cohort s
Statistics in Healthcare
Unit 7:
Overview/Teasers
Overview
Tests for comparing groups
unadjusted analyses!
Common statistics for various
types of outcome data
Outcome
Variable
Are the observations ind
UNIT 9 HOMEWORK
The following table comes from a paper that examined the relationship between the duration of breast feeding as an
infant and the presence of overweight or obesity at age 18 years (in
Statistics in Healthcare
Unit 9:
Overview/Teasers
Overview
Regression II: Logistic regression; Cox
regression
Common statistics for various
types of outcome data
Outcome
Variable
Are the observations
Statistics for Health Care
Statistics in Medicine @ Stanford University
Unit 2:
Overview
Overview
n
Basic study designs; measures of
disease frequency and association
1
Teaser 1, Unit 2
2000 NEJM stud
Statistics for Health Care
Unit 3:
Overview/Teasers
Overview
n
Introduction to probability and
conditional probability; Bayes Rule;
diagnostic testing
1
Teaser 1, Unit 3
n
A classic statistics problem
Statistics for Health Care
Statistics in Medicine @ Stanford University
Unit 1
Overview/Teasers
First rules of statistics
n
n
Use common sense!
Draw lots of pictures!
1
Whats wrong with this?
n
n
Stud
UNIT 4 HOMEWORK
For some problems, you will need a normal probability calculator or chart. Here are some links:
Graphical standard normal calculator/chart:
http:/www.mathsisfun.com/data/standard-norma
UNIT 3 HOMEWORK
Question 1:
In 1980 (before the era of in-vitro fertilization), there were 3,612,258 births in the United States
(according to the U.S. Census Bureau), of which 68,339 births were to t
Statistics in Healthcare
Unit 8:
Overview/Teasers
Overview
Regression I: Linear regression
Common statistics for various
types of outcome data
Outcome
Variable
Are the observations independent or
corr
Statistics for Health Care
Unit 5:
Overview/Teasers
Overview
Statistical inference: confidence
intervals, hypothesis tests, and p-values
Teaser 1, Unit 5, polls
New York Times/CBS News Poll (Feb. 2012
300699 Discrete Structures and Complexity, Spring 2012
Tutorial Week 7 (Solutions)
On the role of tutorials in this unit:
The purpose of the tutorials is to reinforce what you have learnt in lectures;
300699 Discrete Structures and Complexity, Spring 2012
Tutorial Week 6 (Solutions)
On the role of tutorials in this unit:
The purpose of the tutorials is to reinforce what you have learnt in lectures;
300699 Discrete Structures and Complexity, Spring 2012
Tutorial Week 8 (Solutions)
On the role of tutorials in this unit:
The purpose of the tutorials is to reinforce what you have learnt in lectures;
300699 Discrete Structures and Complexity, Spring 2012
Tutorial Week 10 (Solutions)
On the role of tutorials in this unit:
The purpose of the tutorials is to reinforce what you have learnt in lectures
Table of Logical Equivalences
p q q p
p q q p
Associative
(p q) r p (q r)
(p q) r p (q r)
Distributive
p (q r) (p q) (p r)
p (q r) (p q) (p r)
Identity
p T p
p F p
Negation
p p T
p p F
Double Negative
TABLE 6 Logical Equivalences.
Equivalence
Name
p AT=.p
Identity laws
p VF=.p
Domination laws
p vT=.T
pAF=.F
pvp=.p
Idempotent laws
p Ap=.p
-.(-.p) =. p
Double negati on law
p vq=.q Vp
Commutative laws
COT3100: Propositional Equivalences
Logic and Proofs
COT3100: Applications of Discrete Structures COT3100: Propositional Equivalences
1 Translating from Natural Languages
EXAMPLE. Translate the fo
CLASS TEST 2 (Version B) (Solutions)
SPRING SESSION 2011
SCHOOL OF COMPUTING AND MATHEMATICS
Unit Name:
Discrete Structures and Complexity
Unit Number:
300699
Time Allowed:
40 minutes
Number of Questi
CLASS TEST 1 (Version A) (Solutions)
SPRING SESSION 2011
SCHOOL OF COMPUTING AND MATHEMATICS
Unit Name:
Discrete Structures and Complexity
Unit Number:
300699
Time Allowed:
40 minutes
Number of Questi
CLASS TEST 1 (Version B) (Solutions)
SPRING SESSION 2011
SCHOOL OF COMPUTING AND MATHEMATICS
Unit Name:
Discrete Structures and Complexity
Unit Number:
300699
Time Allowed:
40 minutes
Number of Questi
CLASS TEST 2 (Version A) (Solutions)
SPRING SESSION 2011
SCHOOL OF COMPUTING AND MATHEMATICS
Unit Name:
Discrete Structures and Complexity
Unit Number:
300699
Time Allowed:
40 minutes
Number of Questi
Business statistics practice
Assignment (1)
2.4
2.8
a.
(a and b)
Category / Class
A
B
C
D
Frequency
100
25
75
50
Frequency
0.40
0.10
0.30
0.20
Relative
Frequency
40%
10%
30%
20%
Tally for Discrete Var