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Last data update: 2014.03.03

R: One Sample Location Test Based on Oja Signs and Ranks

oja1sampleTest

R Documentation

One Sample Location Test Based on Oja Signs and Ranks

Description

Function to test for location in the one sample case using Oja signs and ranks.

Usage

oja1sampleTest(X, mu = NULL, scores = "sign", p = 1,
               method = "approximation", n.simu = 1000, 
               na.action = na.fail, ...)

Arguments

`X`	a numeric data frame or data matrix.
`mu`	a vector indicating the hypothesized value of the location. NULL represents the origin.
`scores`	options are “rank” for the signed rank test, “sign” for the sign test. The sign test is the default.
`p`	value of “p” to be passed on to `ojaSign` or `ojaSignedRank`. The default here is to use all hyperplanes since only then the tests are valid. This can make the functions quite slow, however.
`method`	defines the method used for the computation of the p-value. The possibilities are “approximation” (default) or “permutation” which permutes the signs of the Oja signs or Oja signed ranks.
`n.simu`	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.
`...`	further arguments to be passed to or from methods.

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 or the number of replications in the permutation procedure.
`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.
`data.name`	a character string giving the name of the data.

Author(s)

Klaus Nordhausen

References

Hettmansperger, T. P., Nyblom, J. and Oja, H. (1994), Affine invariant multivariate one-sample sign test, Journal of the Royal Statistical Society, Series B, 56, 221–234.

Hettmansperger, T. P., M<c3><83><c2><b6>tt<c3><83><c2><b6>nen, J. and Oja, H. (1997), Multivariate affine invariant one-sample signed-rank tests, Journal of the American Statistical Society, 92, 1591–1600.

Examples

data(biochem)
oja1sampleTest(biochem[,1:2], mu = c(1.1, 0.4))
oja1sampleTest(biochem[,1:2], mu = c(1.1, 0.4), method = "p")

oja1sampleTest(biochem[,1:2], mu = c(1.1, 0.4), scores = "rank")
oja1sampleTest(biochem[,1:2], mu = c(1.1, 0.4), scores = "rank", method = "p")

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(OjaNP)
Loading required package: ICS
Loading required package: mvtnorm
Loading required package: ICSNP
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/OjaNP/oja1sampleTest.Rd_%03d_medium.png", width=480, height=480)
> ### Name: oja1sampleTest
> ### Title: One Sample Location Test Based on Oja Signs and Ranks
> ### Aliases: oja1sampleTest
> ### Keywords: htest multivariate nonparametric
> 
> ### ** Examples
> 
> data(biochem)
> oja1sampleTest(biochem[,1:2], mu = c(1.1, 0.4))

	OJA 1 SAMPLE SIGN TEST

data:  biochem[, 1:2]
Q.S = 2.1199, df = 2, p-value = 0.3465
alternative hypothesis: true location is not equal to c(1.1,0.4)

> oja1sampleTest(biochem[,1:2], mu = c(1.1, 0.4), method = "p")

	OJA 1 SAMPLE SIGN TEST

data:  biochem[, 1:2]
Q.S = 2.1199, replications = 1000, p-value = 0.32
alternative hypothesis: true location is not equal to c(1.1,0.4)

> 
> oja1sampleTest(biochem[,1:2], mu = c(1.1, 0.4), scores = "rank")

	OJA 1 SAMPLE SIGNED RANK TEST

data:  biochem[, 1:2]
Q.R = 2.3007, df = 2, p-value = 0.3165
alternative hypothesis: true location is not equal to c(1.1,0.4)

> oja1sampleTest(biochem[,1:2], mu = c(1.1, 0.4), scores = "rank", method = "p")

	OJA 1 SAMPLE SIGNED RANK TEST

data:  biochem[, 1:2]
Q.R = 2.3007, replications = 1000, p-value = 0.323
alternative hypothesis: true location is not equal to c(1.1,0.4)

> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>