On 07/06/2019 3:08 a.m., massimo bressan wrote:
given this reproucible example
library(coin)
independence_test(asat ~ group, data = asat, ## exact null distribution
distribution = "exact")
I'm wondering why the default results are reporting also the critical value
Z by considering that this method is supposed to be "exact", i.e. computing
the direct probability:
I don't think that is the critical value, I think it is the observed
value of the statistic being used.
pvalue(independence_test(asat ~ group, data = asat, ## exact null
distribution distribution = "exact"))
my question is: what is the correct interpretation (if it exists at all) of
the Z value printed out by the 'plain' function 'independence_test' when it
is asked for an 'exact' test?
Simply the value of the the statistic. I don't know its formula, but
presumably one of the references in the help page ?independence_test
would give it.
The p-value is the probability of such a value or a more extreme one
(possibly with some sort of continuity correction; you'd have to check
the references). The "exact" argument says to use the exact permutation
distribution for the statistic when calculating that probability.
Duncan Murdoch
am I completely out of track?
sorry but I'm here missing the point somewhere, somehow...
thank you for the feedback
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