Applied Statistics - Week 7

Monday the 8th - Friday the 12th of January 2024

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 subject of the day will be advanced fitting, moving towards more complicated cases. 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

Recording of Lecture video.
Computer Exercise(s):

Advanced fitting: FitAndTestingDistributions_original.ipynb

Tuesday:
I will go through the curriculum, and answer all the possible questions you may have, perhaps sharpened by the problem set handing in.
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!
Reading:

You should at this point have read essentially the whole curriculum.
Lecture(s):

I'll essentially give very short versions of the last six week's curriculum. They will probably (surely?) run for more than one hour.
Computer Exercise(s):

Advanced fitting: PiEstimate_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)

Recording of Lecture video.
Computer Exercise(s):

Time series: TimeSeries_original.ipynb

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Last updated: 7th of January 2024.