Compositional (version 5.5)

Log-likelihood ratio test for a symmetric Dirichlet distribution: Log-likelihood ratio test for a symmetric Dirichlet distribution

Description

Log-likelihood ratio test for a symmetric Dirichlet distribution.

Usage

sym.test(x)

Arguments

x

A matrix with the compositional data. No zero values are allowed.

Value

A list including:

est.par

The estimated parameters under the alternative hypothesis.

one.par

The value of the estimated parameter under the null hypothesis.

res

The loglikelihood under the alternative and the null hypothesis, the value of the test statistic, its relevant p-value and the associated degrees of freedom, which are actually the dimensionality of the simplex, \(D-1\), where \(D\) is the number of components.

Details

Log-likelihood ratio test is performed for the hypothesis that all Dirichelt parameters are equal.

References

Ng Kai Wang, Guo-Liang Tian and Man-Lai Tang (2011). Dirichlet and related distributions: Theory, methods and applications. John Wiley & Sons.

See Also

diri.nr, diri.est, rdiri, dirimean.test

Examples

# NOT RUN {
x <- rdiri( 100, c(5, 7, 1, 3, 10, 2, 4) )
sym.test(x)
x <- rdiri( 100, c(5, 5, 5, 5, 5) )
sym.test(x)
# }