Is there a way of expressing the two fundamental qualitative characteristics of useful financial information by statistical measures?

Predictive and confirmatory value can be used as proxy for Relevance. They can be easily measured by different statistical approaches.

However, Faithful representation requires information to be complete, neutral and free from error.

Are there any statistical measures of completeness, neutrality and free from error which do not take into account only one specific user of the financial statements? For example, it is easy to asses whether information is faithfully represented to a specific bank, but is it possible to asses faithfulness on a more general level (i.e. for all of the users of financial statements)?

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