Final answer:
The most difficult type of evidence to collect to convince astronomers of an extraterrestrial spacecraft landing on Earth would be direct physical evidence such as samples or artifacts from the spacecraft itself.
Step-by-step explanation:
The type of evidence that would be most difficult to collect to convince astronomers that an extraterrestrial spacecraft has landed on Earth would be direct physical evidence such as samples or artifacts from the spacecraft itself. This is because the existence of such evidence would require the actual presence of the spacecraft on Earth, which is highly unlikely and has not been proven yet.
Other types of indirect evidence that could be collected include astronomical observations such as abnormal celestial phenomena or signals from space that could be attributed to extraterrestrial activity. However, these types of evidence can still be debated and may not provide definitive proof.
In conclusion, the most difficult type of evidence to collect would be direct physical evidence from an extraterrestrial spacecraft, as its existence and presence on Earth have not been confirmed.