simplex.uniform  R Documentation 
Given a data X \in \mathbb{R}{n\times p} such that its rows are vectors in a probability simplex, i.e., x \in Δ_{p1} =\lbrace z \in \mathbb{R}^p~~z_j > 0, ∑_{i=1}^p z_i = 1 \rbrace, test whether the data is uniformly distributed.
simplex.uniform(X, method)
X 
an (n\times p) data matrix where each row is an observation. 
method 
(caseinsensitive) name of the method to be used, including

a (list) object of S3
class htest
containing:
a test statistic.
pvalue under H_0.
alternative hypothesis.
name of the test.
name(s) of provided sample data.
## pseudouniform data generation N = 100 P = 4 X = matrix(stats::rnorm(N*P), ncol=P) for (n in 1:N){ x = X[n,] x = abs(x/sqrt(sum(x^2))) X[n,] = x^2 } ## run the tests simplex.uniform(X, "LRT") simplex.uniform(X, "lrtsym")
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