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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.These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.