حول انموذج القياسات المتكررة المتداخل المتقاطع المتداخل

A general model o「 thisパ:x`41← .1,xИ`←И`x/6←パ'X五3denotcd nested.stud) contains eight factorssuch us that x denoted cross and <-Let Y=は1‖ 口‖・・,4■ら●●、..)be thc vector of obseⅣ atY is independently normally' distributed rvith meanpIr o.In order to get powertul tests, we assumed thatstructure has a certain pattern. Results of thisanall sing certain 8-rvay mixed and random effectsInlroduclionIn this paper, u'e developed a generaldifferent kinds ofnested and crossed repeated mThe model u'e consider in this rvork is athe model of Arnold (1979). Gabbara 1985 & (lMouel (2001). Al-Sakkal (1999), Chikr (2000)special cases.It is assumed that rve have eight factors, andfactors is nested w'ithin previous one.Let 16 be the number of levels of the h'hthe same number of sub levels, the observ'ationsindependent.Let Y, ,. ,,be the obsenation of is treatmentfactors of...of the illel'elof the l factor.LetE -V _,,It is assumed thatcommon variancecovariance matrixcan be used int