Kenny-Judd (1984) example -- Marsh unconstrained approach DA NI=9 NO=500 MA=CM LA x1 x2 z1 z2 x1_z1 x1_z2 x2_z1 x2_z2 y CM FI=KJEXAMPL.CM ME 0 0 0 0 0 0 0 0 5.0 SE y x1 x2 z1 z2 x1_z1 x2_z2 / ! selecting the product of the first measures ! and the product of the second measures MO NY=1 NE=1 NX=6 NK=3 PS=SY PH=SY GA=FU,FR C LX=FU,FI LY=FU,FI TD=SY TE=SY,FI KA=FI AL=FR TY=FI LE ETA_Y LK X Z XZ ! Here's the main effects measurement model VA 1.0 LY(1,1) VA 1.0 LX(1,1) LX(3,2) FR LX(2,1) LX(4,2) ! Unconstrained--let PHI be free !FI PH(3,1) PH(3,2) !CO PH(3,3) = PH(1,1) * PH(2,2) + PH(2,1)^2 ! Here is Marsh's specification for Kappa CO KA(3) = PH(2,1) ! Unconstrained--just estimate these loadings (except for reference var) VA 1.0 LX(5,3) ! CO LX(6,3) = LX(2,1) * LX(4,2) FR LX(6,3) ! Unconstrained--estimated error variances freely ! CO TD(5,5) = PH(1,1) * TD(3,3) + PH(2,2) * TD(1,1) + TD(1,1) * TD(3,3) ! CO TD(6,6) = PH(1,1) * TD(4,4) * LX(2,1)^2 + PH(2,2) * TD(2,2) * LX(4,2)^2 C ! + TD(2,2) * TD(4,4) OU AD=OFF RS MI