Randomized Complete Block Design.

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Description

Multivariate tests for testing the null hypothesis that there is no treatment effect in a randomized complete block design using different scores.

Usage

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mv.2way.test(x, block, treatment, score = c("identity", "sign", 
             "rank"), stand = c("outer", "inner"), 
             method = c("approximation", "permutation"),
             n.simu = 1000, eps=1.0e-10, n.iter=10000, 
             na.action = na.fail)

Arguments

x

a numeric data frame or matrix of response variables.

block

a factor with at least two levels.

treatment

a factor with at least two levels.

score

the score to be used. Possible choices are identity, sign and rank.

stand

the standardization method used. Possible choices are outer and inner.

method

method for the computation of the p-value for the spatial sign and spatial rank tests. Possible choices are approximation and permutation.

n.simu

number of simulated permutations if method="permutation".

eps

convergence criterion.

n.iter

maximum number of iterations.

na.action

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

Details

This implements the tests described in chapter 12 of the MNM book.

Value

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 null hypothesis 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 and of the grouping vector.

Author(s)

Jyrki M<f6>tt<f6>nen jyrki.mottonen@helsinki.fi

References

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

See Also

mv.1sample.test, mv.Csample.test , mv.2way.est

Examples

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blocks <- gl(10, 5)
treatments <- factor(rep(1:5, 10))
X <- rmvnorm(n = 50, mean = c(1,2,3), sigma = diag(3))
mv.2way.test(X, blocks, treatments, score="r", stand="i", method="a")

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