MORSE
A Mathematics degree for those interested in a course which
combines theory with modern applications.
M
OR
S
E
Mathematics
Operational Research
Statistics
Economics
http://warwick.ac.uk/MORSE
Department of Statistics University of Warwick
MathStat, MORSE and Data Science: Degrees of Freedom
Mathematics and Statistics
A Mathematics degree for mathematically able students who
have an interest in solving practical problems which arise in
physical, life and social sciences, business, health and
government.
http://warwick.ac.uk/mathstat
Two well-established Integrated Single Honours courses,
leading to an extremely wide variety of careers.
Department of Statistics University of Warwick
MathStat, MORSE and Data Science: Degrees of Freedom
Data Science
A degree course designed for able mathematicians with an
interest in pursuing sophisticated theory and methods relevant
to modern applications requiring
large-scale data analysis and state-of-art computer science
http://warwick.ac.uk/datsci
. . . to be introduced during this talk.
Department of Statistics University of Warwick
MathStat, MORSE and Data Science: Degrees of Freedom
Mathematics
Probability, risk
Famines and finance
Internet search engines
Traffic flow: roads, telephones
Brownian motion
Random matrices
Poisson spatial process
For example, ST906: Financial Time Series Analysis
Department of Statistics University of Warwick
MathStat, MORSE and Data Science: Degrees of Freedom
Operational Research
or Management Science: methods for solution of
organizational problems of business and other enterprises.
Air traffic control
Accident and emergency departments
Supermarket stocks and sta↵
Linear programming
Queuing theory
For example, IB407: Decision Analysis
. . . assessment of the relative efficiency of organisational units,
such as bank branches, pubs, . . . a range of diagnostic outputs.
Department of Statistics University of Warwick
MathStat, MORSE and Data Science: Degrees of Freedom
Statistics
Cancer and Mobile telephones
Nuclear safety
Election results
Car insurance and life expectancy
Survival analysis
Regression models
Bayesian Decision analysis
For example, ST332: Medical Statistics
Generalised linear models, Analysis of censored survival data,
Study designs
Department of Statistics University of Warwick
MathStat, MORSE and Data Science: Degrees of Freedom
Entry Requirements
Typical entry requirements:
A* (Maths) + A (Further Maths) + A or
A (Maths) + AA + 2 in STEP or Merit in AEA
http://warwick.ac.uk/stats/courses/offer
International Baccalaureate, Scottish Qualifications, . . .
Economics A-level is not a prerequisite for MORSE
Numbers in the first year, 2012-2013:
77 Home and EU, & 92 International students
Numbers in the fourth year, 2012-2013:
52 – about a third of those who entered.
Department of Statistics University of Warwick
MathStat, MORSE and Data Science: Degrees of Freedom
Transdisciplinary nature
of mathematics
"Mathematics is the instrument that mediates between theory and practice,
between thinking and observing:
It builds a bridge, and then braces it bit by bit. This is why all our
contemporary culture, to the extent that it depends upon penetrating and
mastering nature, is founded upon mathematics."
David Hilbert (1931)
http://en.wikipedia.org/wiki/File:Playfair_TimeSeries-2.png
Example: Spotmap used by physician John Snow
http://en.wikipedia.org/wiki/File:
John_Snow_memorial_and_pub.jpg
Original map by Dr Snow in 1854.
Cholera cases are highlighted in black on London City map
revealed that the disease was spread by water from a pump.
http://wiki.vmateevitsi.com/index.php?title=File:Snow-cholera-map-1.jpg
Big data in genomics
‣ Novel high-­‐throughput measurement technologies
‣ Genome-­‐wide perspec8ve
‣ Hope: New avenues for scien8fic research
‣ Medical applica8ons: e8ology, prognosis, treatment
‣ Challenges for mathema/cal sciences: • Extract informa(on from data
• Ensure reproducible results
• Model biological processes
Cancer treatment decision-making involving
Example: Decision making in Cancer Recurrence Preven8on
genomic recurrence risk
Genomic
test
recurrence
score (0-100)
Traditional
Traditional
lab work
work
lab
traditional markers
Overall
health
Personal
preferences
eligibilities for
treatment choices
beliefs,
life...
quality of live...
No
chemo
?
modifying
factors
Chemo
Simpson’s paradox
Figure on following pages: Front Psychol. 2013; 4: 513.
Simpson's paradox in psychological science: a practical guide, Rogier A. Kievit et al
http://rogierkievit.com/wp-content/uploads/2013/05/Kievit_Original_Manuscript_7_7.pdf
Example of Simpson's Paradox. Despite the fact that there exists a negative
relationship between dosage and recovery in both males and females, when grouped
together, there exists a positive relationship. All figures created using ggplot2
(Wickham, 2009). Data in arbitrary units.
Correlation and causation
Correlation between X and Y may(!) be causation:
• X implies Y
• Y implies X
http://xkcd.com
Correlations gathered by data snooping
Entertaining website doing this for you:
http://www.tylervigen.com/