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For my master thesis I'm making a structural equation model. However, I do not have much experience with this. So here are some different questions.

  1. I read that one of the assumptions important for SEM is: Linearity: A linear relationship is assumed between endogenous and exogenous variables. However, I see in other papers that this is only considered for the sum score of a latent variable. But not for 'normal/other' variables, such as age. Does this have to be done?

  2. In addition, I never intended to make a sum score of my variables, is this always the case?

  3. I only have 86 respondents, because I have a very specific population and because of time limitation. Does this mean that I can only have 86/10 = 8 variables in total in my SEM model? Or does this mean that I may have 5 variables per latent factor? I find conflicting information.

  4. Is it possible to include 'independent' variables in a SEM model, such as car ownership. So not link this to a latent variable, or is that not possible?

Thank you in advance!

Regards,

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  • $\begingroup$ Linearity just means that the arrows in the path diagram represent linear (as opposed to curvilinear or nonlinear) effects. If age has a curvilinear effect on your latent variable, a standard SEM will not be able to model that, and your model will be misspecified. It has nothing to do with sum scores. $\endgroup$ – Noah Apr 25 '19 at 18:12
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welcome to CrossValidated!

  1. I'm not sure quite what you mean by this. You assume linearity, but it's often impossible to test. I don't know what the sum score of a latent variable is.
  2. It's not always the case, but if you're going to make a sum score, why have a latent?
  3. Whoa! That's a really small sample size. It's going to be hard to say anything interesting in SEM with a sample that small, however many variables you have.
  4. I'm not sure what you're getting at here. What is this variable doing if it's not linked to a latent variable? (You can have SEMs with no latent variables though, so I think the answer is yes.)
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