p-value Computation for Test of Exchangeability Using Distance Data

Arguments

dist_list

The list (length $B$) of pairwise distance data. Each element in list should be either a distance matrix or a table recording pairwise distances.

nruns

The resampling number (use at least 1000)

type

Either an unbiased estimate (`'unbiased'`, default), or exact (`'valid'`) p-value (see Hemerik and Goeman, 2018), or both (`'both'`). Default is `'unbiased'`.

Value

The p-value obtained from comparing the empirical tail cdf of the observed $V$ statistic computed from distance data.

Details

Generates a block permutation distribution of $V$ statistic by storing the provided list of distance data as an ${N\choose2} \times B$ array, and then permuting the underlying indices of each individual to generate resampled ${N\choose2} \times B$ arrays. The observed $V$ statistic is also computed from the distance data.

Each element of dist_list should be a $N\times N$ distance matrix.

Dependencies: buildForward, buildReverse, cachePermute