B ur man ▁designs ▁were ▁published ▁in ▁Bi omet ri ka ▁in ▁ 1 9 4 6 . ▁About ▁the ▁same ▁time , ▁C . ▁R . ▁R ao ▁introduced ▁the ▁concepts ▁of ▁orthogonal ▁arrays ▁as ▁experimental ▁designs . ▁This ▁concept ▁played ▁a ▁central ▁role ▁in ▁the ▁development ▁of ▁Tag uch i ▁methods ▁by ▁Gen ichi ▁Tag uch i , ▁which ▁took ▁place ▁during ▁his ▁visit ▁to ▁Indian ▁Statist ical ▁Institute ▁in ▁early ▁ 1 9 5 0 s . ▁His ▁methods ▁were ▁successfully ▁applied ▁and ▁adopted ▁by ▁Japanese ▁and ▁Indian ▁indust ries ▁and ▁subsequently ▁were ▁also ▁emb rac ed ▁by ▁US ▁industry ▁al beit ▁with ▁some ▁res erv ations . ▁ ▁In ▁ 1 9 5 0 , ▁Ger tr ude ▁Mary ▁C ox ▁and ▁William ▁Gem m ell ▁C och ran ▁published ▁the ▁book ▁Ex perimental ▁Design s , ▁which ▁became ▁the ▁major ▁reference ▁work ▁on ▁the ▁design ▁of ▁experiments ▁for ▁statist icians ▁for ▁years ▁afterwards . ▁ ▁Develop ments ▁of ▁the ▁theory ▁of ▁linear ▁models ▁have ▁en comp ass ed ▁and ▁sur pass ed ▁the ▁cases ▁that ▁concerned ▁early ▁writers . ▁Today , ▁the ▁theory ▁rest s ▁on ▁advanced ▁topics ▁in ▁linear ▁algebra , ▁algebra ▁and ▁combin ator ics . ▁ ▁As ▁with ▁other ▁branches ▁of ▁statistics , ▁experimental ▁design ▁is ▁purs ued ▁using ▁both ▁frequent ist ▁and ▁Bay esian ▁approaches : ▁In ▁evalu ating ▁statistical ▁procedures ▁like ▁experimental ▁designs , ▁frequent ist ▁statistics ▁studies ▁the ▁sampling ▁distribution ▁while ▁Bay esian ▁statistics ▁updates ▁a ▁probability ▁distribution ▁on ▁the ▁parameter ▁space