Statistical differences between groups

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Sjoukje Goldman

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Sep 17, 2018, 6:18:05 AM9/17/18
to lavaan
This is probably a question to which I could have found an answer, I just seem not to be able to find it or understand what I find. 

I have conducted a SEM multiple group analysis. Now I would like to test if there are significant differences between the two groups per parameter. 

To be more clear:
H1 A -> D
H2 B -> D
H3 C -> D

Now I would like to know if the standardized parameter of groups 1 for A -> D differs significantly from group 2. I think I need to work with constraints, but don't fully understand how to use it. Would anyone be willing to explain this to me? Or give me a hint how to look for the answer? 

Thank you so much!

Terrence Jorgensen

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Sep 24, 2018, 5:10:46 AM9/24/18
to lavaan
Now I would like to know if the standardized parameter of groups 1 for A -> D differs significantly from group 2. 

model <- '
  x4 ~ c(a1, a2)*x1 + c(b1, b2)*x2 + c(c1, c2)*x3
  diff.a := a1 - a2
  diff.b := b1 - b2
  diff.c := c1 - c2
'

fit
<- sem(model, data = HolzingerSwineford1939, group = "school")

## standardized differences (:=) are differences between standardized slopes
parameterEstimates
(fit, standardized = TRUE)

## test standardized versions of user-defined differences
standardizedSolution
(fit)

Terrence D. Jorgensen
Postdoctoral Researcher, Methods and Statistics
Research Institute for Child Development and Education, the University of Amsterdam


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