▁the ▁Bay es ▁factor , ▁which ▁is ▁the ▁ratio ▁of ▁the ▁posterior ▁odd s ▁to ▁the ▁prior ▁odd s . ▁It ▁provides ▁a ▁measure ▁of ▁the ▁data ▁and ▁if ▁it ▁has ▁increased ▁or ▁decre ased ▁the ▁lik elihood ▁of ▁one ▁hypoth eses ▁relative ▁to ▁another . ▁ ▁The ▁statistical ▁proof ▁is ▁the ▁Bay esian ▁demonstr ation ▁that ▁one ▁hypothesis ▁has ▁a ▁higher ▁( weak , ▁strong , ▁positive ) ▁lik elihood . ▁There ▁is ▁considerable ▁debate ▁if ▁the ▁Bay esian ▁method ▁align s ▁with ▁Karl ▁Po ppers ▁method ▁of ▁proof ▁of ▁f als ification , ▁where ▁some ▁have ▁suggested ▁that ▁"... there ▁is ▁no ▁such ▁thing ▁as ▁" accept ing " ▁hypoth eses ▁at ▁all . ▁All ▁that ▁one ▁does ▁in ▁science ▁is ▁assign ▁degrees ▁of ▁belief ..." ▁According ▁to ▁Po pper , ▁hypoth eses ▁that ▁have ▁with stood ▁testing ▁and ▁have ▁yet ▁to ▁be ▁f als ified ▁are ▁not ▁verified ▁but ▁cor ro bor ated . ▁Some ▁research es ▁have ▁suggested ▁that ▁Po pper ' s ▁quest ▁to ▁define ▁cor ro bor ation ▁on ▁the ▁prem ise ▁of ▁probability ▁put ▁his ▁philosophy ▁in ▁line ▁with ▁the ▁Bay esian ▁approach . ▁In ▁this ▁context , ▁the ▁lik elihood ▁of ▁one ▁hypothesis ▁relative ▁to ▁another ▁may ▁be ▁an ▁index ▁of ▁cor ro bor ation , ▁not ▁confirm ation , ▁and ▁thus ▁statist ically ▁proven ▁through ▁rig orous ▁objective ▁standing . ▁ ▁In ▁legal ▁proceed ings ▁▁ ▁Statist ical ▁proof ▁in ▁a ▁legal ▁proceed ing ▁can ▁be ▁sorted ▁into ▁three ▁categories ▁of ▁evidence : ▁The