irr_npc_distribution: Combine the IRR statistics across strata
In statlab/permuter: permuter: Permutation Tests

Description Usage Arguments Details Value

Use NPC to combine the IRR statistics across strata.

1	irr_npc_distribution(perm_distr, size, obs_ts)

`perm_distr`	Input matrix of dimension [B, S] Column s is the permutation distribution of rho_s, for s = 1, …, S.
`size`	Vector of S sample sizes. Entry s is the number of items N_s in stratum s.
`obs_ts`	a vector of test statistics for each stratum

Simulates the permutation distribution of the combined NPC test statistic for S matrices of ratings corresponding to S strata. The distribution comes from combining p-values across the S strata.

If obs_ts is null, computes the reference value of the test statistic before the first permutation. Otherwise, uses the value obs_ts for comparison.

If keep_dist, return the distribution of values of the test statistic; otherwise, return only the number of permutations for which the value of the irr test statistic is at least as large as obs_ts.

A list containing:

obs_npc: observed value of the test statistic for the input data, or the input value of obs_ts if it was given as input
geq: integer number of iterations for which the test statistic was greater than or equal to obs_ts
reps: number of permutations
pvalue: geq/reps
dist: if keep_dist, the array of values of the irr test statistic from the reps iterations. Otherwise, NULL.