Approximate p-value for Test of Exchangeability (Assuming Large P with Block Dependencies)

Computes the large \(P\) asymptotic p-value for dataset \(\mathbf{X}\), assuming its \(P\) features are independent within specified blocks.

blockLargeP(X, block_boundaries, block_labels, p = 2)

Arguments

X: The binary or real matrix on which to perform test of exchangeability
block_boundaries: Vector denoting the positions where a new block of non-independent features starts.
block_labels: Length \(P\) vector recording the block label of each feature.
p: The power \(p\) of \(l_p^p\), i.e., \(||x||_p^p = (x_1^p+...x_n^p)\)

The asymptotic p-value

This is the large \(P\) asymptotics of the permutation test.

Dependencies: getBinVStat, getRealVStat, getChi2Weights, weightedChi2P, getBlockCov