Sorry but you research will not give you any meaningful results. As you write up there, your accuracy is different for people to people. If you want to write a meaningful paper, you can search on how bow materials and shapes changes the distance, penetration etc. I can suggest you three different books.
Turkish Archery and the Composite Bow: A Review of an Old Chapter in the Chronicles of Archery and a Modern Interpretation
Paul Klopsteg
https://www.amazon.com/Turkish-Archery-Composite-Bow-Interpretation/dp/1684220092
It is comparing British Longbow to Turkish Bow. Its the first modern scientific look to archery. Very easy to read if you are into traditional archery.Second is
Ottoman Turkish bows, manufacture and design
Adam Karpowicz
Adam Karpowicz is a genius traditional bow maker. In 2016 He shot 790 yards!! with his self build bow.
http://www.primitivearcher.com/smf/index.php?topic=57103.0
Adam Karpowicz book is the most scientific archery book out there. If you want to write about archery I highly suggest you to read it. There was an American magazine for traditional archery. It was yearly released if I am correct. You can read it for different type of bows. You can google Adam Karpowicz and there is lots of papers he wrote out there for free. other than that youtube has some great videos about traditional archery.
CaseyG That bow you show is 27 libre. Just a beginner bow. War bows draw weight is usually 100 or 120 libre and Mongol, Turkish or Tatar bows has higher fps than Longbow. Turkish bow range record is 846 meter but British long bows is 306 meter(335 yard). If you want to read a book compare Long bow to Turkish bows read Paul E. Kolpsteg's book. He is one of the most famous archery physicist.