Applied Statistics - Week 7

Monday the 9th - Friday the 13th of January 2023

The following is a description of what we will go through during this week of the course. The chapter references and computer exercises are considered read, understood, and solved by the beginning of the following class, where I'll shortly go through the exercise solution.

General notes, links, and comments:


  • Monday:
    The lecture will be a relatively thorough walk through the Problem Set. I'll go each problem, and discuss the solution. From this, we hope that our grading (which will appear on Friday the 13th) becomes clear. I will also discuss the testbeam analysis.
    In the exercises, we'll try a simple example of doing integration in many dimensions using simple simulation. First, it is the estimate of pi, followed by the rational numbers in front of (hyper) volumes of balls in many dimensions!
    Alternatively, you may want to re-visit the problem set, discuss the testbeam analysis, or work on Exam2016.
    Reading:
  • A good introduction to Monte Carlo simulations is in actually Wikipedia on Monte Carlo.
    Lecture(s):
  • Problem Set - Solutions and Comments.
    Zoom:
  • Link to lecture.
    Recording of Lecture video.
    Computer Exercise(s):
  • Re-visiting problem set, discussing testbeam analysis, working on Exam2016.
  • Estimating pi and hypersphere size from Monte Carlo simulations: PiEstimate_original.ipynb


    Tuesday:
    The subject of the day will be fitting, moving towards advanced cases of fitting. As stated, fitting is a bit of an artform, and there is little literature on the subject - only (bitter?) experience! I've tried my best in the reading list below.
    Reading:
  • Possibly Barlow page 184, section 10.2.2.
  • Possibly Cowan page 65.
  • Possibly Bevington chapters 6-8 (best of the three!).
  • Curve Fitting (Wikipedia)
    Lecture(s):
  • Advanced Fitting
    Zoom:
  • Link to lecture.
    Recording of Lecture video.
    Computer Exercise(s):
  • Advanced fitting: FitAndTestingDistributions_original.ipynb

    Friday:
    The day will focus on time series, which is a separate subject, yet fairly straight forward, once you get the hang of the idea. The associated exercise is inspired by biophysics.

    Reading:
  • No reading - logic and reason suffices.
    Lecture(s):
  • Time Series (Mathias)
    Zoom:
  • Link to lecture.
    Recording of Lecture video.
    Computer Exercise(s):
  • Time series: TimeSeries_original.ipynb
    Last updated: 13th of January 2023.