Applied Statistics - Week 2

Monday the 27th of November - Friday the 1st of December 2017

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:
  • Following the experiments, we will have a programming "tutorial" Tuesday 16-17 on getting the weighted mean and Chi2 (done in small groups).
  • To follow up on various questions regarding the Chi2 and making sure that you have a function to do so, I will Tuesday discuss it a bit more: Supplement on ChiSquare
  • As discussed in class, getting the angle of the table (dtheta) in the experiment will a ball on incline, is not easy, as the analytic solution is... well, lengthy! But it can be done nummerically, which also allows for propagation of errors: GettingDeltaTheta.py

    Monday:
    We will be working on the experiments for Project 1 in First Lab.
    This project should be handed in (PDF by mail to me) by 22:00 on Thursday the 7th of December 2017.
    I would be happy, if you would give the file the logical name "Project1_GroupX_Name1Name2Name3Name4Name5.pdf", where NameX is the first name of the group members.

    Tuesday:
    Even in a complex world, a few PDFs play a central role again and again. We will go through these natural PDFs, in particular the Binomial, Poisson, and Gaussian distributions and see how they are connected. Other PDFs will also be discussed.

    Reading:
  • Barlow, chapter 3
    Lecture(s):
  • Binomial, Poisson, and Gaussian
    Computer Exercise(s):
  • Binomial, Poisson and Gaussian: BinomialPoissonGaussian.py


    Friday:
    Real data almost never follows theoretical PDFs, as the real world contains dirty wires, unknown biases, and mismeasurements. We will devote the day to discussion of real data analysis and systematic errors, and apply this to our "Table Measurements" from Aud. A.

    Reading:
  • Barlow, chapter 4.4
    Lecture(s):
  • Systematic Errors
    Computer Exercise(s):
  • TableMeasurements: TableMeasurement.py,
    data_TableMeasurements2009.txt
    data_TableMeasurements2010.txt
    data_TableMeasurements2011.txt
    data_TableMeasurements2012.txt
    data_TableMeasurements2013.txt
    data_TableMeasurements2014.txt
    data_TableMeasurements2015.txt
    data_TableMeasurements2016.txt
    data_TableMeasurements2017.txt
    The result of your table measurement analysis should be submitted HERE by Friday the 8th at the latest.
    Last updated: 28th of November 2017.