Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Applied Statistics: From Data to Results

Practical information
Study year 2016/2017
Time
Block 2
Programme level Full Degree Master
ECTS 7,5 ECTS
Course responsible
  • Troels Christian Petersen (8-756a796a77786a734573676e33707a336970)
  • The Niels Bohr Institute
Course number: NFYK13011U

Course content

The course will give the student an introduction to and a basic knowledge on statistics. The focus will be on application and thus proofs are omitted, while examples and use of computers take their place.


The course will cover the following subjects:

  • Introduction to statistics.
  • Distributions - Probability Density Functions.
  • Error propagation.
  • Correlations.
  • Monte Carlo - using simulation.
  • Statistical tests.
  • Parameter estimation - philosophy and methods of fitting data.
  • Chi-Square and Maximum Likelihood fits.
  • Simulation and planning of an experiment.
  • The power and limit of statistics. The frontier.

Learning outcome

Skills
The student should in the course obtain the following skills:

  •   Determining mean, width, uncertainty on mean and correlations.
  •   Understading how to use probability distribution functions.
  •   Be able to calculate, propagate and interprete uncertainties.
  •   Be capable of fitting data sets and obtain parameter values.
  •   Know the use of simulation in planing experiments and data analysis.

Knowledge
The student will obtain knowledge about statistical concepts and procedures, more specifically:

  •   Binomial, Poisson and Gaussian distributions and origins.
  •   Error propagation formula and how to apply it.
  •   ChiSquare as a measure of Goodness-of-fit.
  •   Calculation and interpretation of ChiSquare probability.

Competences
This course will provide the students with an understanding of statistical methods and knowledge of data analysis, which enables them to analyse data in ALL fields of science. The students should be capable of handling uncertainties, fitting data, applying hypothesis tests and extracting conclusions from data, and thus produce statistically sound scientific work.

Recommended prerequisites

Programming is an essential tool and is therefore necessary for the course (we will use Python with interface to CERN’s ROOT software, both free and working on all platforms). Elementary mathematics (integral calculations and combinatorics) is also needed.

Remarks

Course webpage: www.nbi.dk/​~petersen/​Teaching/​AppliedStatistics2015.html
The course webpage is administered by: Troels C. Petersen (petersen@nbi.dk)

It is expected that the student brings a laptop.

There will be an introduction the week before the course begins. You will be informed about time and place later (on the above course webpage).

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Education

M.Sc. Programme in Physics

M.Sc. Programme in Nanoscience

M.Sc. Programme in Agriculture

Studyboard

Study Board of Physics, Chemistry and Nanoscience

Course type

Single subject courses (day)

Duration

1 block

Schedulegroup

B
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Teaching and learning methods

Lectures, exercises by computers, and discussion/projects.

Capacity

No restriction to number of participants

Language

English

Literature

Primary literature: Statistics - A Guide to the Use of Statistical Methods in the Physical Sciences, Roger Barlow.
Additional literatur: Statistical Data Analysis, Glen Cowan. Data Reduction and Error Analysis, Philip R. Bevington. Statistical Methods in Experimental Physics.

Workload

Category Hours
Lectures 56
Theory exercises 28
Preparation 122
English 206

Exam

Type of assessment

Written assignment, 28 hours
25% from projects, 15% from mandatory problem sets, and 60% from 28 hours take-home exam.

Aid

All aids allowed

Marking scale

7-point grading scale

Criteria for exam assessment

SeeSkills.

Censorship form

No external censorship
More internal examiners

Re-exam

The exam form is identical to the regular exam; projects and problem sets that were approved during the course can be re-used. The remaining projects and problem sets should be approved 2 weeks before the re-exam.

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