the art in the science of statistics at macquarie university

20
The Art in the Science of Statistics at Macquarie University

Upload: agustin-holdredge

Post on 31-Mar-2015

212 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: The Art in the Science of Statistics at Macquarie University

The Art in the Science of Statisticsat Macquarie University

Page 2: The Art in the Science of Statistics at Macquarie University

MVLSEGEWQL

VLHVWAKVEA

DVAGHGQDIL

AKYKELCYOG

Databases

Algorithms

Software

+ =

Protein Structure Prediction -

from amino acid string to three dimensional structure

Page 3: The Art in the Science of Statistics at Macquarie University

SAINT

Proteins

Developing a sequential protein structure prediction algorithm

Page 4: The Art in the Science of Statistics at Macquarie University

Mathematical Finance and Statistical Modelling

• 1634: Tulipomania in Netherlands • 1636: The Amsterdam stock exchange issued option contracts allowing tulip bulbs to be purchased for a fraction of the price of a real tulip bulb.

If a future market price of a tulip at option maturity time T, is going to be greater than some value K specified in the contract, then the buyer of the contract gets a payoff ‘Market Price of a bulb at T’ –K ,otherwise the premium paid for the contract is lost.

1 tulip bulb = A Farm,Live stock, or Life???

These options are called Vanilla type options ( or, European Options).

Page 5: The Art in the Science of Statistics at Macquarie University

ListenListen

Determining Aircraft movement using sound

Aircraft Sonogram

Page 6: The Art in the Science of Statistics at Macquarie University

0

500

1000

1500

2000

2500

Compare MI-EL (developed at MU) with other popular Reconstruction Algorithms in Emission Tomography

MI-EL

MEM

SPS

ICA

iter 8 iter 16 iter 32 iter 64

smoothing parameter h = 10-5

Page 7: The Art in the Science of Statistics at Macquarie University

The effect of driver’s age on occurrence and size of motor vehicle insurance claims

Page 8: The Art in the Science of Statistics at Macquarie University

-2000

-1000

0

1000

2000

3000

January

MW

h

1 7 14 22 30 38 46

February

1 7 14 22 30 38 46

March

1 7 14 22 30 38 46

April

1 7 14 22 30 38 46

May

1 7 14 22 30 38 46

June

1 7 14 22 30 38 46

-2000

-1000

0

1000

2000

3000

July

MW

h

1 7 14 22 30 38 46

August

1 7 14 22 30 38 46

September

1 7 14 22 30 38 46

October

1 7 14 22 30 38 46

November

1 7 14 22 30 38 46

December

1 7 14 22 30 38 46

MonTueWenThuFriSatSunPub

Demand for electricity varies by Month, Type and Time of Day

Page 9: The Art in the Science of Statistics at Macquarie University

Local Correlation plots

This graph displays Seasonality Stationarity Autocorrelation

Interpretation.Stationarity: Splots have similar shapes.Seasonality: Repeating patterns at regular lag intervals.Autocorrelation: High autocorrelation is indicated by brown/red colour. No autocorrelation is indicated by dark blue colour.High autocorrelation is present at regular intervals along both axes.High autocorrelation at regular lags indicates seasonality.High autocorrelation at regular intervals along CO2 axis fluctuations within seasons.

Page 10: The Art in the Science of Statistics at Macquarie University
Page 11: The Art in the Science of Statistics at Macquarie University
Page 12: The Art in the Science of Statistics at Macquarie University
Page 13: The Art in the Science of Statistics at Macquarie University

An objective is to investigate the relationship between phytoplankton and their environmental habitat using multivariate statistical methods.

Environmental Statistics

-3

-2

-1

0

1

2

2000 2001 2002 2003 2004 2005 2006

-3

-2

-1

0

1

2

2000 2001 2002 2003 2004 2005 2006

-3

-2

-1

0

1

2

2000 2001 2002 2003 2004 2005 2006

• The first three principal components explain the overall

abundance of phytoplankton studied and the seasonal patterns

of a particular genus or an assemblage of various genera that

prefer to live in a similar environmental habitat, either in warm

or cool water.

• The study of seven-year temporal patterns of phytoplankton

reveals general patterns of phytoplankton in the reservoir.

Such patterns respond to a certain range of environmental

factors. This range may be used as indication of a change in

phytoplankton composition and abundance. Thus, the

environmental factors associated with a situation where one

organism invades original inhabitants may be identified.

Sangdao Wongsai, PhD student, [email protected]

Blue-green algae

Page 14: The Art in the Science of Statistics at Macquarie University

Grapharti

Screen shot of Grapharti from ninemsn daily news polls.

Page 15: The Art in the Science of Statistics at Macquarie University

Variation in temperature

Page 16: The Art in the Science of Statistics at Macquarie University

stillbirth

normal

morbid

death

403020

6000

5000

4000

3000

2000

1000

0

gestational age (weeks)

birt

hwei

ght

(g)

Birthweight versus Gestational age by Birth outcome

birth outcome

normal

caesar

other

403020

6000

5000

4000

3000

2000

1000

0

gage

bwt

Birthweight versus Gestational age by Method of delivery

delivery

method of

Page 17: The Art in the Science of Statistics at Macquarie University

Seeing Things?

Page 18: The Art in the Science of Statistics at Macquarie University
Page 19: The Art in the Science of Statistics at Macquarie University

The artists

Page 20: The Art in the Science of Statistics at Macquarie University

Guess who!