# Web Science/Part2: Emerging Web Properties/Advanced statistical descriptive models for the Web

# Advanced statistical descriptive models for the Web

## Associated units

- Be able to name some fundamental properties about how frequencies of words in texts are distributed
- Be a little bit more cautious about visual impressions when looking at log-log plots
- Know both formulations of Zipf’s law

- Be able to do a coordinate transformation to change the scales of your plots
- Understand in which scenario power functions appear as straight lines
- Know in which scenarios exponential functions appear as straight lines
- Be even more cautious about your visual impressions

- Know the axioms for a distance measure and how they relate to norms.
- Know at least two distance measures on functions spaces.
- Understand why changing to the CDF makes sense when looking at distance between functions.
- Understand the principle of the Kolomogorov-Smirnov test for fitting curves

- Know how to transform a rank frequency diagram to a powerlaw plot.
- Understand how powerlaw and pareto plots relate to each other.
- Be able to explain why a pareto plot is just and inverted rank frequency diagram
- Be able to transform the zipf coefficient to the powerlaw and pareto coefficient and vice versa.
- Understand that building the CDF is basically like building the integral.

no further reading defined

You can define further reading here.

In general you can use the edit button in the upper right corner of a section to edit its content.

In general you can use the edit button in the upper right corner of a section to edit its content.