Web Science/Part2: Emerging Web Properties/Advanced statistical descriptive models for the Web/Fitting a curve on a log log plot

From Wikiversity
Jump to: navigation, search

Fitting a curve on a log log plot

Wikiversity-Mooc-Icon-Edit.svg
Wikiversity-Mooc-Icon-Ask.svg
Wikiversity-Mooc-Icon-Learning-goals.svg

Learning goals

  1. Know the axioms for a distance measure and how they relate to norms.
  2. Know at least two distance measures on functions spaces.
  3. Understand why changing to the CDF makes sense when looking at distance between functions.
  4. Understand the principle of the Kolomogorov-Smirnov test for fitting curves
Wikiversity-Mooc-Icon-Edit.svg
Wikiversity-Mooc-Icon-Ask.svg
Wikiversity-Mooc-Icon-Video.svg

Video

Wikiversity-Mooc-Icon-Edit.svg
Wikiversity-Mooc-Icon-Ask.svg
Wikiversity-Mooc-Icon-Script.svg

Script

Wikiversity-Mooc-Icon-Edit.svg
Wikiversity-Mooc-Icon-Ask.svg
Wikiversity-Mooc-Icon-Quiz.svg

Quiz

1

supose we have . What is the value of

-1
0
1

2

supose we have with . What is the value of

x
1
6
12
18

3

supose we have with . What is the value of

x
1
6
12
18

4

What is true about the Kolmogorov-Smirnov Test

It is often used to fit a curve
It must be used to fit a curve
it uses the uniform norm of the curve and observed data
it uses the uniform norm on the CDF of the curve and the CDF of the observed data
it uses the L1-norm on the CDF of the curve and the CDF of the observed data


Wikiversity-Mooc-Icon-Edit.svg
Wikiversity-Mooc-Icon-Ask.svg
Wikiversity-Mooc-Icon-Further-readings.svg

Further reading

  1. tba
Wikiversity-Mooc-Icon-Discussion.svg

Discussion