Description Usage Arguments Details Value Author(s) References See Also Examples

Tests for multivariate location using different score functions.

1 2 3 | ```
mv.1sample.test(X, mu = 0, score = "identity", stand = "outer",
method = "approximation", n.simu = 1000,
na.action = na.fail)
``` |

`X` |
a numeric data frame or matrix. |

`mu` |
the null hypothesis value. Default is the zero vector. |

`score` |
the score to be used. Possible choices are |

`stand` |
the standardization method used. Possible choices are |

`method` |
method for the computation of the p-value for the spatial sign and spatial signed-rank tests.
Possible choices are |

`n.simu` |
number of simulated sign changes if |

`na.action` |
a function which indicates what should happen when the data contain 'NA's. Default is to fail. |

The tests provided here are the Hotelling's T^2 test, the spatial sign test and the signed-rank test and their affine invariant versions in the one sample location case.

Note that for the identity score the provided test is not the traditional Hotelling's T^2 test because here the covariance matrix is computed wrt to the null value and not wrt to the sample mean.
Use the function `HotellingsT2`

for the traditional version of Hotelling's T^2 test.
Details about the tests can be found in the chapters 5-8 of the MNM book.

A list with class 'htest' containing the following components:

`statistic ` |
the value of the test statistic. |

`parameter` |
the degrees of freedom for the test statistic or the number of replications in the simulation. |

`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 set. |

Klaus Nordhausen

Oja, H. (2010), *Multivariate Nonparametric Methods with R*, Springer.

Nordhausen, K. and Oja, H. (2011), Multivariate L1 Methods: The Package MNM, *Journal of Statistical Software*, **43**, 1-28.

1 2 3 4 5 6 7 8 | ```
library(mvtnorm)
X <- rmvt(100, diag(c(1, 2, 0.5)), 3)
mv.1sample.test(X,mu=c(0,0,0.5))
mv.1sample.test(X,score="s", stand="i")
mv.1sample.test(X,score="s", stand="i", method="s")
mv.1sample.test(X,score="r", stand="o")
mv.1sample.test(X,score="r", stand="i")
``` |

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