Assessment and review of modern lunar crescent visibility criterion

The lunar crescent visibility criterion study is one of the most nontrivial discussions in the field of astronomy. A lunar crescent visibility criterion is used for calendrical determination, and a different lunar crescent visibility criterion results in different dates of calendar. This paper endeavors to provide an assessment for modern lunar crescent visibility criterion using swarm plot analysis, contradiction rate analysis, and regression analysis, based on 8290 collected data of lunar crescent sighting. The result analysis provides new comparative insight on modern lunar crescent visibility criterion, and suggest a new criterion based on the data of lunar crescent sighting.