Directional Statistics

Directional statistics is the subdiscipline of statistics that deals with directions (unit vectors in Rn), axes (lines through the origin in Rn) or rotations in Rn. More generally, directional statistics deals with observations on compact Riemannian manifolds.

The fact that 0 degrees and 360 degrees are identical angles, so that for example 180 degrees is not a sensible mean of 2 degrees and 358 degrees, provides one illustration that special statistical methods are required for the analysis of some types of data (in this case, angular data). Other examples of data that may be regarded as directional include statistics involving temporal periods (e.g. time of day, week, month, year, etc.), compass directions, dihedral angles in molecules, orientations, rotations and so on.

Read more about Directional StatisticsCircular and Higher Dimensional Distributions, Examples of Circular Distributions, Distributions On Higher Dimensional Manifolds, The Fundamental Difference Between Linear and Circular Statistics, Moments, Measures of Location and Spread, Distribution of The Mean, Software

Other articles related to "directional statistics, statistics":

Directional Statistics - Software
... R has some packages devoted to circular statistics, including CircStats (CircStats package for R), circular (circular package for R), CircNNTSR (CircNNTSR ... Circular Statistics, a MATLAB toolbox containing the essentials to work with circular data (Documentation) ... for parameter learning, and supports directional statistics ...
Dirac Comb - Use in Directional Statistics
... In directional statistics, the Dirac comb of period 2π is equivalent to a wrapped Dirac delta function, and is the analog of the Dirac delta function in linear ... In linear statistics, the random variable (x) is usually distributed over the real number line, or some subset thereof, and the probability density of x is a function whose domain is the ... In directional statistics, the random variable (θ) is distributed over the unit circle and the probability density of θ is a function whose domain is some interval of the real numbers of length 2π and whose ...

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    July 4. Statistics show that we lose more fools on this day than in all the other days of the year put together. This proves, by the number left in stock, that one Fourth of July per year is now inadequate, the country has grown so.
    Mark Twain [Samuel Langhorne Clemens] (1835–1910)