Statistics and Cancer Research
Choi Wang Ngai
Yiu Tsz Hei
Seow Jia Yin
Wong Ka Kei
Chui Wei
Usage of Statistics in Cancer
Research
determine if a particular factor is correlated to the oc
currence of the cancer
Evaluate if a particular treatment is effe
the Cox proportional hazards
model
(Cox Regression Model)
Cox Regression
h(t), represents how the risk changes with
time, and exp represents the effect of cov
ariates (or factors/features)
identifying significant prognostic factors
most commonly used
C
Statistics and Cancer
Research
Choi Wang Ngai
Yiu Tsz Hei
Seow Jia Yin
Wong Ka Kei
Chui Wei
Usage of Statistics in Cancer Research
determine if a particular factor is correlated to the
occurrence of the cancer
Evaluate if a particular treatment is effecti
Cox Proportional Hazard Model:
Most use regression method for analysis of censored survival data
Introduced by Cox in 1972
Used for:
Identification of differences in survival due to to treatment effect or prognostic factors( risk,
explanatory, or predict
Applied Business Forecasting
and planning
Multiple Regression Analysis
Introduction
In simple linear regression we studied the
relationship between one explanatory
variable and one response variable.
Now, we look at situations where several
explanatory va
SW388R7
Data Analysis
& Computers
II
Slide 1
Multiple Regression Basic
Relationships
Purpose of multiple regression
Different types of multiple regression
Standard multiple regression
Hierarchical multiple regression
Stepwise multiple regression
Steps in
Cox Proportional Hazards
Regression Model
Mai Zhou
Department of Statistics
University of Kentucky
A search in the New England Journal of
Medicine, Nov. 2001 - Nov. 2002 article
for Cox proportional hazards yield >300
results.
A search in Journal of Ameri
Lecture 17
Cox proportional hazards models
BIOST 515
March 4, 2004
BIOST 515, Lecture 17
Review
The proportional hazards regression model is given by
h(t|X) = h(t) exp(X11 + + Xpp).
The predictors, X1, . . . , Xp are assumed to act additively on
log h(t|
Title: Statistics in cancer research
Group members:
Choi Wang Ngai
Yiu Tsz Hei
Seow Jia Yin
Wong Ka Kei
Chui Wei
3035075145
3035074476
2012560349
3035075195
2012600412
Statistics is widely used in cancer research, its uses can be generally divided into
re
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 19
Decision Making & Hypotheses Testing
2013-05-03
Statistical Inference
In practice, instead of estimating the
parameter of interest, we would like to
answer questions like:
Is the new treatment
Open access, freely available online
Essay
Mathematics Is Biologys Next Microscope,
Only Better; Biology Is Mathematics Next
Physics, Only Better
Joel E. Cohen
A
lthough mathematics has
long been intertwined with
the biological sciences, an
explosive syne
SCNC1111
Scientific Method and Reasoning
Part 1: The Nature and Methodology of Science
Lecture 1
What is Science?
2013-01-25
1
What is (or is not) Science?
We see science news in the media a lot
of times?
But what is (or is not) science?
2
3
4
5
Quick S
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 16
Statistics and Its Applications
2013-04-23
Musical Dice Game
Have you thought/dreamt of being a music composer?
In fact, you can be an amateur composer even though you know nothing about music.
SCNC1111/12-13sem2/Ex2/TNK
THE UNIVERSITY OF HONG KONG
FACULTY OF SCIENCE
SCNC1111 Scientific Method and Reasoning
2012-13 Semester 2
Brief solution to exercises in lecture powerpoint notes II
Note: Some of the following are outline solutions only; in you
SCNC1111/12-13sem2/Ex1/TNK
THE UNIVERSITY OF HONG KONG
FACULTY OF SCIENCE
SCNC1111 Scientific Method and Reasoning
2012-13 Semester 2
Brief solution to exercises in lecture powerpoint notes
Note: Some of the following are outline solutions only; in your s
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 12
Fractals
(and a recap on Chaos)
2013 04 09
Previously on Chaos
Some defining characteristics of Chaos
high sensitivity to initial conditions
being deterministic
Examples of chaotic systems
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 11
Chaos Theory
2013 04 05
What is Chaos?
What does chaos mean in an objective and scientific
sense?
2
What is Chaos?
Butterfly effect
Why are they connected?
What does this really mean?
Source:
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 11 + 12
Fractals (Contd) and
some of their Connections to Chaos
2013 04 12
Previously on Fractals
Fractals are entities that are self-similar
Bifurcation diagram
Fern leaves
Chinese boxes
we will
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 15
Probability and Statistics
2013-04-19
Birthday Problem
n people in a room including you
dimensionsinfo, 2012.
Birthday Problem (1)
= 1 = 1 ()
365
364
365+1
=
365
365
365
365
364
Hence = 1
365
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 18
Prediction
2013-04-30
Regression
y
C
B
A
x
Which line fits the data better?
Least Squares Regression Line
Q: How to find the best sample regression line?
Suppose the sample regression line is
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 13
Probability and Statistics
2013-04-12
Eddy Lam
Department of Statistics and Actuarial Science
What is statistics?
The term statistics is ultimately derived from the New
Latin statisticum coll
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 14
Probability and Statistics
2013-04-16
Axioms of Probability
1. If A is any event in the sample space S, then
0.0 P(A) 1.0.
2. Let A be an event in S, and let denote the
basic outcomes (basic out
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Scientific Method and Reasoning
Part 2 a
Lecture 7
Difference Equations
2013 2 22, 26
An IQ Question
An IQ question
Start with a single bacterium. Every
minute, a bacterium will split into two. In
one hour, the bacteria population covers
the who
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 10
Differential Equations
Motivating Examples
In nature there are many situations in which a
quantity is increasing or decreasing at a rate
proportional to its size: if () denotes the quantity
at
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Scientific Method and Reasoning
Part 2 a
Lecture 8
Matrix Algebra
2013 3 1,4
Wolves and Elk
Suppose in a forest there are wolves and elk living together, and the
wolves prey on elk
If there are enough elk for wolves to
hunt and consume, the wolf
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 09
Calculus
Motivating Problems
If a persons temperature after hours of strenuous exercise
is = 0.6 3 4 2 + 37 in degrees Celsius (0 2),
find the rate of change of temperature after half an hour a
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 5
Guesstimation
(How to Make Educated Guesses)
2013-02-05
2013-02-08
How Many Piano Tuners
Question: How many
piano tuners are there in
Chicago (or in Hong Kong,
or in the United States, or
the in
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Scientific Method and Reasoning
Part 2 a
Lecture 6
Mathematical Modelling
2013 2 19, 22
The Story of the Spherical Cow
A farmer wants to find ways to make his cows produce more
milk. He approaches the scholars in a university, hoping to get
some