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Cherry-picking the evidence in this way is the greater statistical sin, in my view, since it involves making misleading rather than merely imprecise claims.
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But instead of defining a distribution over this set, proponents of interval-valued or imprecise probability claim that our epistemic state regarding the priors is better expressed by this set of distributions, and that sharp probability assignments must therefore be replaced by lower and upper bounds to the assignments.
Imprecise as those claims are, they seem justified.
Likelihoodists contrast simple statistical hypotheses with composite statistical hypotheses, which only entail vague, or imprecise, or directional claims about the statistical probabilities of evidential events.
Dosages were imprecise but hunters claimed to know what would happen with some cases of overdosing.
Mr de la Rua dismissed her claims as "imprecise".Angry as Argentines may be, most still seem to want to keep their currency board, and to avoid a default.
Second, distinctively philosophical techniques might be brought to bear in helping the theologian clear up imprecise or ambiguous theological claims.
So my earlier remarks on weight/balance should not be read as the claim that imprecise probabilities can always represent the weight/balance distinction.
It seems that examples of dilation undermine the earlier claim that imprecise probabilities allow you to represent the difference between the weight and balance of evidence (see section 2.3): learning $Y$ appears to give rise to a belief which one would consider as representing less evidence since it is more spread out.
Such claims are too imprecise to be sustainable interpretations of the results.
It turned out that the data from Beth Israel that Google was using to construct the diagnosis list included insurance claims, which are notoriously imprecise.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com