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Statistical analysis of directional data is known as circular or directional statistics. The best-known branch of it is generalized describing of wind directions.

A lecture by Nour Malek and Frédéric Simard about circular statictics. Lecture notes by Paul Marr from the Shippensburg University about circular statistics.

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ID P Question or exercise
3974 3 The web site of Dutch climate contains public climatological data. The observation data for Maastricht is added to this exercise. Find from it the wind speed and direction data for years 1906-1912 and 2006-2012.
  1. What is the wind speed-weighted mean direction and the 95% confidence limits of the mean during these periods?
  2. Is the difference in mean values statistically significant?
  3. Has the total air flow origin turned to the south or to the north during this 100 years period?
Open
4142 3 Sara was speaking with mobile phone, while she was walking in a park. There were attractive places such as entertainment zones, a lake, a restaurant and sitting places in the park that you can see in the attached image. She walks 15 meters towards East. Then she turns and starts walking to North-East for 25 meters. Then she walks to south-east for another 12 meters. Then to north 5 meters. He then turns to her left(west) where she walks for 45 meters.
  1. Based on her walking directions, which destination Sara finally reached to?
  2. How probable is that such or larger shift of her walking is a result of random walk?
  3. Can we deduce at p<0.05 level that Sara¤s movement was purposeful?
Open