angleTest | R Documentation |

Test whether the direction of two vectors is similar

angleTest(x, y)

`x` |
vector |

`y` |
vector |

Under the assumption of all (normalized) n-vectors being represented by an n-dimensional hypersphere, the probability of the angle between two vectors is <= the measured values can be estimated as the area of a cap defined by that angle and divided by the hypersphere's complete surface area.

a list with

`angle` |
angle between vectors |

`p.value` |
p-value for the probability that the angle between two random vectors is smaller or equal to the one calculatted from x and y |

S. Li , 2011. Concise Formulas for the Area and Volume of a Hyperspherical Cap. Asian Journal of Mathematics & Statistics, 4: 66-70.

x <- c(1,0); y <- c(1,1) # for a circle this should give us p = 0.25 as the angle between vectors ## is pi/4 and for any vector the segment +-pi/4 covers a quarter of the circle angleTest(x,y)

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.