Quantitative Reasoning
Chapter 2. Design of Studies
Unit 8. Graduate Admission
[1] In this unit, we will discuss an example of a phenomenon known as Simpsons
paradox. Interestingly, it can be viewed as an observational study, and we will see
another way t

Week4Quiz
1. Theslicingmethodcomparestheratesofheartdiseasebetweensmokersandnonsmokers
withinmalesandfemalesseparately.Amongthemales,whichstatementistrue?
A. Sexisassociatedwithbothsmokingstatusandheartstatus.
B. Sexisassociatedwithsmokingstatus,butnotwit

Quiz 1:
1. Trumpet University has three faculties: Arts, Engineering and Science. This
year, the admission rate of every faculty is between 10% and 60%. Its chancellor,
Daniel, claims that the university has an unprecedented low overall admission
rate of

GER1000
Quantitative Reasoning
Chapter: Uncertainty
Unit: Average Values
Assoc Prof Victor Tan
Department of Mathematics
Overview
Insurance
company
Casino
Average Value
Game Show
Option I
Option II
No condition
Answer one MCQ
Correct
$1000
probability 1
$

Sampling
Howdataaregenerated?
LearningOutcomeofthischapter
Wewouldbeableto
Generateourowndatasetasprimarysource
ofinformation
Identifygoodexistingdatasetassecondary
sourceofinformationforourownuse.
Defininga
Common
Language
Unit
Object/individual
Defini

GER1000
Quantitative Reasoning
Chapter: Uncertainty
Unit: Conditional Probabilities
Assoc Prof Victor Tan
Department of Mathematics
Overview
Conditional Probability
P(event A occurs, given that event B has occurred)
dependent or independent
Drawing a Card

GER1000
Quantitative Reasoning
Chapter: Uncertainty
Unit: Testing Rare Events
Assoc Prof Victor Tan
Department of Mathematics
Overview
Medical
Screening
QR
Framework
Conditional
Probabilities
Medical Screening
Rare disease
tested
positive
having the
disea

GER1000
Quantitative Reasoning
Chapter: Uncertainty
Unit: P-Values
Assoc Prof Victor Tan
Department of Mathematics
Overview
P-values
Coin Tossing
Hypothesis Test
Statistically
Significant
New Drug Testing
Coin Tossing
Is the coin not fair?
1st toss
2nd to

GER1000
Quantitative Reasoning
Chapter: Uncertainty
Unit: Measuring Uncertainty
Assoc Prof Victor Tan
Department of Mathematics
Overview
Random Circumstances
Probability
Relative
Frequency
Personal
probability
Random Circumstances
A random circumstance i

Slide 1 (Intro)
In this last unit of the chapter on Uncertainty, we will continue with the discussion
of the concept of conditional probability.
In particular, we will apply the concept in the circumstances of testing or detecting
rare events which have v

DifficultiesandDisastersinSampling
DifficultiesinSampling
Usingimperfectsamplingframe
o Aperfectsamplingframeistheonethatconsists
ofexactlyallunitsofthetargetpopulation.
o Inalotofsituations,asamplingframemight
eitherincludeunwantedunitsorexcludedesired

a) Light jogging best for long life: Study by Calvin Yang, The
Straits Times - 4 Feb 2015
Link: http:/www.straitstimes.com/singapore/health/light-jogging-best-for-long-life-study
1. Are there other lurking variables (other than exercise habits) that resul

GER1000: B102 - G3 Project proposal
Lim Jia Jin Alton A0141117W, Jamie Hwang A0144389U, Yeo Kia Yee A0142789N
Phoebe Teo A0142961E, Ng Yue Yi A0142595Y
Title: Too Much Sitting Can Raise Cancer Risk In Women
Main News Article: http:/www.todayonline.com/dai

Q1a. Statement is false as the regression relationship cannot be applied to a specific country. The
regression relationship is only used to establish a correlational relationship on a global scale and not
country specific. Relationship is not causal.
0.4

GER1000 QUANTITATIVE REASONING 2016/17 Semester 1
TUTORIAL 2
Question 1
In October 2012, the New England Journal of Medicine published Chocolate Consumption,
Cognitive Function, and Nobel Laureates by FH Messerli of Columbia University. The main
findings

GER1000 QUANTITATIVE REASONING 2016/17 Semester 1
TUTORIAL 1
Please work on the problems before coming to class. Your solution may include keywords
introduced in lectures, such as control group, treatment group, confounding,
association, etc. In class, yo

Supplementary Notes on Design of Studies - stronger Consistency Rule
This elaborates the Consistency Rule in slide 13 of Unit 6.
the low IQ US adults is 20.0%, or in symbols,
rate (poverty | high) = 5.6%. Since the rates are
rate(low | poverty) and rate(l

GER1000 Quantitative Reasoning
Further Instructions on Group Projects - Submission and Poster Session
1. Online submission of Executive Summary and Poster
Softcopy of Executive Summary (2 pages) and Poster (A2 size) must be submitted in PDF format to
the

GER1000 QUANTITATIVE REASONING
GROUP PROJECT
AY2015-16, Semester I
1. Students are to carry out projects in pre-assigned groups as in tutorials. The project should
be based on an article published not earlier than 1 January 2015 in only the following: Str

Chocolate and Intelligence
GER1000 Tutorial 7 Group 6: Anthonia Ang, Bin Jai, Chandra Walla, Daud Sulaiman, Emily
Sng
In November 2012, The BBC Magazine website carried the story Does Chocolate Make You
Clever?. In order to better understand statements su

GER1000 Quantitative Reasoning
Group Project Executive Summary
You are required to submit a PDF executive summary to the IVLE by 2359 Monday 9 November. The
summary must be within two (2) pages, of at least size 11 font, and contain the full name of all g

GER1000
Quantitative Reasoning
Chapter: Uncertainty
Unit: Simple Probability Rules
Assoc Prof Victor Tan
Department of Mathematics
Overview
Complement
rule
Addition
rule
Multiplication
rule
Mutually exclusive events
Independent
events
Events
Rolling a fai

Slide 1 (Intro)
Suppose you have taken the mid-term test of a module and received an A grade.
Based on this information, you want to know the chance for you to get an A grade
for the final. In this scenario, getting an A grade for final is uncertain, whil

GER1000 QUANTITATIVE REASONING
TUTORIAL 3
Question 1
Based on the letters submitted to the Forum of The Straits Times in 2006, comment on the
query made by Ms Tan with the following highted quotes and also the reply given by the
Secretary of Public Transp

Week 8 Quiz
1. The following data are given for 2014:
Age Number of women of this age Number of (live) births by women of this age
25
26565
1427
26
26778
1710
27
26992
1998
28
27671
2157
29
28350
2322
Rounded off to 1 decimal place, the age-specific ferti

1.
A television news programme asks viewers to log in to its website and vote on a different
issue each day. The website allows visitors to select one of two choices and submit a vote.
The results of the poll are reported the next day on the news programm

GER1000 QUANTITATIVE REASONING
QUIZ 2
Q1. In a survey, several hundred people were asked two questions: (a) whether they liked
fishing on a boat; (b) whether they like new-car smell. Among those who liked fishing on a
boat, 80% said yes to (b), i.e., like

GER1000 Quantitative Reasoning
Week 7: Online Quiz #7
Question 1
It is known that in particular network with 5 vertices, there is one vertex v where there is
exactly one vertex at distance 1 from v, exactly one vertex at distance 2 from v, exact