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compositions (version 1.10-1)

HotellingsTsq: Hotellings T square distribution

Description

The Hotellings T square distribution is the distribution of the squared Mahalanobis distances with respected to estimated variance covariance matrices.

Usage

qHotellingsTsq(p,n,m)
pHotellingsTsq(q,n,m)

Arguments

p
a (vector of) probabilities
q
a vector of quantils
n
number of parameters, the p parameter of Hotellings $T^2$ distribution
m
number of dimensions, the m parameter of the Hotellings $T^2$ distribution

Value

  • qHotellingsT2a vector of quantils
  • pHotellingsT2a vector of probabilities

Details

The Hotellings $T^2$ with paramter p and m is the distribution empirical squared Mahalanobis distances of a m dimensional vector with respect to a variance covariance matrix estimated based on np degrees of freedom.

See Also

ellipses, ConfRadius, pf

Examples

Run this code
(q <- qHotellingsTsq(seq(0,0.9,by=0.1),3,25))
pHotellingsTsq(q,3,25)

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