"Relevance to the central idea", "sufficiency to support the purpose", and "credibility of the source". are the evidence for effectiveness.
What is evidence?
Evidence is defined as any of the relevant facts or statements of fact that may be brought before a competent tribunal to determine the veracity of a particular purported matter of fact.
It can also be defined as an item that a litigant offers to increase or decrease the likelihood that a truth exists.
Effectiveness is defined as the ability to deliver desirable output or the capacity to produce desired results.
It can also be defined as a success is the degree to which something is successful in achieving the desired outcome.
Thus, "Relevance to the central idea", "sufficiency to support the purpose", and "credibility of the source". are the evidence for effectiveness.
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