vignette("exactcond"), working through every exported function, and references
with DOIs in the DESCRIPTION.ec_diffnet_test(): a differential network without a Gaussian assumption, following the
permutation route of NetCoMi's diffnet and the max-over-edges statistic of the Network
Comparison Test, with exchangeability blocks in the sense of Winkler et al. (2014). The edge statistic is
the heterogeneity of the Fisher-transformed correlations across groups, the same quantity the
Gaussian theory uses, referred to the law obtained by permuting the group labels instead of to a
chi-square; on ranks the procedure is distribution-free. One p-value for the whole network (sum or
maximum over edges) with the per-edge p-values from the same permutations for a closed follow-up,
so a p(p-1)/2-edge network pays no multiplicity correction, and a cluster permutation for
interviewer or ward effects. Measured cost against the Gaussian route on Gaussian data: about five
points of power. Measured gain off it: the Gaussian null rejects a true null 28 per cent of the
time on t(3) data and 29 per cent under clustering, where this holds 5 and 4.ec_multi_test(): one permutation test for a battery of categorical items across groups. This is
Pesarin's nonparametric combination with the direct (sum) and Tippett (maximum) combining
functions, and the maximum with per-item follow-up is a step of Westfall and Young's maxT;
the sum or the maximum over items of a per-item Pearson or score-dispersion statistic referred to
the law obtained by permuting the group labels, across respondents or across clusters. One p-value
for the whole battery, no multiplicity correction, and per-item p-values from the same
permutations for a closed follow-up. Provided because no package in this programme's toolchain
offered these with exchangeability blocks in one place; on the prevention-behaviour paper's data
the maximum-statistic form matched or beat a Bonferroni-corrected Fisher battery at its own size.First release.
ec_rc_test() and ec_rc_null(): exact conditional inference in a two-way table given both
margins, sampled by random permutation of the column labels. Statistics are Goodman's
linear-by-linear association, the dispersion of the row mean scores for nominal rows against an
ordinal column, Pearson's statistic and the likelihood ratio.ec_rc_two(): exact conditional test that two tables share a linear-by-linear parameter.ec_sphere_maxquad(): exact null for a quadratic form maximised over candidate structures,
valid after selection by fit.ec_pvalue(): tail probabilities with a mid-p companion and a Wilson interval for the Monte
Carlo error, so an estimated p-value is not quoted as though it were exact arithmetic.