xxMfactor that loads on other factors – xxM https://xxm.times.uh.edu/forums/topic/factor-that-loads-on-other-factors/feed/ Mon, 15 Oct 2018 15:31:52 +0000 http://bbpress.org/?v=2.5.14-6684 en-US https://xxm.times.uh.edu/forums/topic/factor-that-loads-on-other-factors/#post-2043 <![CDATA[factor that loads on other factors]]> https://xxm.times.uh.edu/forums/topic/factor-that-loads-on-other-factors/#post-2043 Wed, 03 Jun 2015 13:40:57 +0000 candrea Is there a way to define a factor not by observed variables, but by other factors?

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https://xxm.times.uh.edu/forums/topic/factor-that-loads-on-other-factors/#post-2044 <![CDATA[Reply To: factor that loads on other factors]]> https://xxm.times.uh.edu/forums/topic/factor-that-loads-on-other-factors/#post-2044 Wed, 03 Jun 2015 15:28:39 +0000 Paras Mehta 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

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