a vector indicating the hypothesized value of the location. NULL represents the origin.
score
score for the pseudo mahalanobis distance. Options are 'rank', 'sign' and 'normal' scores.
angles
which angle to use. Possible are 'tyler' for spatial sign type anlges or 'interdirections'. Note however that currently only 'tyler' is implemented.
method
defines the method used for the computation of the p-value. The possibilites are
'approximation' or 'permutation'.
n.perm
if method="permutation" specifies this the number of replications used in the permutation procedure.
na.action
a function which indicates what should happen when the data
contain 'NA's. Default is to fail.
Details
The test based on interdirections is described in Hallin and Paindaveine (2002a) and the test based on Tyler's angles is described in Hallin and Paindaveine (2002b).
The two different tests are asymptotically equivalent and
in both cases is assumed that the data comes from an elliptic distribution.
Value
A list with class 'htest' containing the following components:
statistic
the value of the Q-statistic.
parameter
the degrees of freedom for the Q-statistic.
p.value
the p-value for the test.
null.value
the specified hypothesized value of the location.
alternative
a character string with the value 'two.sided'.
method
a character string indicating what type of test was performed.
Hallin, M. and Paindaveine, D. (2002a), Optimal tests for multivariate location based on interdirections and pseudo-Mahalanobis ranks, Annals of Statistics, 30, 1103–1133.
Hallin, M. and Paindaveine, D. (2002b), Randles' interdirections or Tyler's angles?, In Y. Dodge, Ed. Statistical data analysis based on the L1-norm and related methods, 271–282.
See Also
tyler.shape, spatial.sign
Examples
X <- rmvnorm(100, c(0,0,0.1))
HP.loc.test(X)
HP.loc.test(X, score="s")
HP.loc.test(X, score="n")
Results
R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)
R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.
R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.
Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.
> library(ICSNP)
Loading required package: mvtnorm
Loading required package: ICS
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/ICSNP/HP.loc.test.Rd_%03d_medium.png", width=480, height=480)
> ### Name: HP.loc.test
> ### Title: Hallin and Paindaveine Signed-Rank Tests
> ### Aliases: HP.loc.test
> ### Keywords: htest multivariate nonparametric
>
> ### ** Examples
>
> X <- rmvnorm(100, c(0,0,0.1))
> HP.loc.test(X)
TYLER ANGLES RANK TEST
data: X
Q.W = 7.7449, df = 3, p-value = 0.05159
alternative hypothesis: true location is not equal to c(0,0,0)
> HP.loc.test(X, score="s")
TYLER ANGLES SIGN TEST
data: X
Q.S = 3.3396, df = 3, p-value = 0.3422
alternative hypothesis: true location is not equal to c(0,0,0)
> HP.loc.test(X, score="n")
TYLER ANGLES VAN DER WAERDEN TEST
data: X
Q.N = 6.7047, df = 3, p-value = 0.08193
alternative hypothesis: true location is not equal to c(0,0,0)
>
>
>
>
>
> dev.off()
null device
1
>