Filtered evidence is evidence that was selected for the fact that it supports (or opposes) a hypothesis. Filtered evidence may be highly misleading, but still it can be useful, if considered with care.

Sequences:

Filtered Evidence, Filtered Arguments by Abram Demski

See also:

Conservation of expected evidence
Rational evidence, Standard of evidence, Adversarial process
Epistemic hygiene
Availability bias, Dangerous knowledge
Dark arts, Arguments as soldiers, Rationalization
Not technically a lie
Anthropics