Compositional (version 1.0)

sym.test: 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.reg, esov.compreg, kl.compreg, ols.compreg, comp.reg

Examples

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)