    Course module   NWINM067B  Category   MA (Master)  Language of instruction   English  Offered by   Radboud University; Faculty of Science; Wiskunde, Natuur en Sterrenkunde;  Lecturer(s)     Academic year   2021   Period   KW2  (08/11/2021 to 30/01/2022) 
 Starting block   KW2  
 Course mode   fulltime  
 Remarks     Registration using OSIRIS   Yes  Course open to students from other faculties   Yes  Preregistration   No  Waiting list   No  Placement procedure    
     
 You will understand basic principles, assumptions and limitations of statistical data analysis in the physical sciences
 You will be able to apply statistical methods in the analysis and interpretation of experimental results


The course will cover the following topics:
• Basic properties of probability (density) functions (Moments, Characteristic function, Commonly used functions)
• Describing the outcome of an experiment as a random variable (Central limit theorem, Law of large numbers)
• Parameter estimation (Criteria of quality of parameter estimation, Estimation of expected value and variance from experimental data (direct and indirect measurements))
• Method of moments, Maximum likelihood, Information and the CramerRao minimum variance bound)
• Fits of experimental data (Least squares and linear least squares, Assessing quality of fit and χ2distribution)
• Confidence intervals (Onesided / twosided / multidimensional, Bayesian reasoning)
• Hypothesis testing (Errors of the first and second kind, Simple and composite hypothesis, pvalue, Comparison of two normally distributed samples, Student’s tdistribution)
• Other statistical tests (Run, KolmogorovSmirnov)
Instructional Modes

  Numerical Methods and basic programming skills (MATLAB, C++, or Python) 

The exam consists of two parts:
 A takehome part, which is intended to test one's ability to solve a practical statistical inference problem numerically.
 An oral part, which is meant to test one's theoretical understanding.

 


   Recommended materialsReader Lecture notes will be provided 
 BookG. Cowan, Statistical Data Analysis (Oxford University Press, 1998): a somewhat basic and slightly outdated book, but one that offers a fairly concise pedagogical introduction. 
ISBN  :   9780198501558 
 BookO. Behnke et al., Data Analysis in High Energy Physics (Wiley, 2013): a much more modern book, covering also multivariate classification and unfolding in addition to the more generic statistical data analysis topics. 
ISBN  :   9783527410583 


Instructional modesCourse occurrence
 Lecture
 Practical computer training
 Zelfstudie

 TestsFinal GradeTest weight   1 
Opportunities   Block KW2, Block KW3 


  
 
 