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Why can a flux-limited survey overrepresent luminous sources?
They can be detected over larger volumes
All sources have the same luminosity
Distances are irrelevant
Faint objects cannot exist
Answer and explanation
They can be detected over larger volumes
Detectability depends on luminosity and distance.
Advanced university · Astronomical inference
A survey detects 30 objects from 100 known eligible injected test signals. Find measured recovery fraction.
Answer and explanation
0.3
Recovery fraction is 30/100 for this injection sample.
Advanced university · Astronomical inference
What supports associating two messenger events?
Matching file names only
A statement without uncertainty
Identical website colours
Consistent timing and location with coincidence analysis
Answer and explanation
Consistent timing and location with coincidence analysis
Association requires evidence against accidental coincidence.
Advanced university · Astronomical inference
Why is a nondetection not always evidence that a source does not exist?
Answer and explanation
The signal may lie below sensitivity or outside coverage. Upper limits and selection effects describe what the observation actually constrains.
Credit detection thresholds and observational coverage.
Advanced university · Astronomical inference
A model predicts 40 counts and 44 are observed. Find the signed residual observed minus predicted.
Answer and explanation
4 counts
44−40=4; significance needs an uncertainty model.
Advanced university · Astronomical inference
Explain why the size of a residual alone does not establish statistical significance.
Answer and explanation
Its importance depends on noise, uncertainty, correlations and the number of comparisons. A residual needs a reference distribution or appropriate uncertainty scale.