factor that loads on other factors About xxM › Forums › NL-SEM and xxM › factor that loads on other factors Tagged: factor This topic contains 2 replies, has 2 voices, and was last updated by candrea 3 years ago. Author Posts June 3, 2015 at 8:40 am #2043 candreaParticipant Is there a way to define a factor not by observed variables, but by other factors? June 3, 2015 at 10:28 am #2044 Paras MehtaKeymaster Yes, it is possible. The matrix to use would be a beta matrix. If a latent factor V is defined by other latent variables U_1 to U_p, a (p by 1) beta matrix with one of the paths fixed to 1.0 will do the trick. Simplest case is the ‘hierarchical random-intercept’: http://xxm.times.uh.edu/learn-xxm/three-level-hierarchical-model-with-observed-and-latent-variables-at-multiple-levels/ Here is an example of random-slopes for a latent DV. http://xxm.times.uh.edu/learn-xxm/two-level-confirmatory-factor-analysis-with-a-random-slope/ In each case, a factor is defined by other latent factors. Best, Paras June 3, 2015 at 10:46 am #2045 candreaParticipant Thank you very much for answering so quickly! I am aware of these examples. Now I have realised that I have to fill in zeros in the columns of the factor-loading matrix for such cases. Thank you again for your great work! Best, Andrea Author Posts You must be logged in to reply to this topic.