

CrossLevel Interaction in DSEM (inte... 

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L.Greiner posted on Sunday, June 28, 2020  12:41 pm



I calculate the following model (s.below) and have the following questions on how to define a crosslevel interaction and how to interpret the results. a) Is this the correct way to specify a crosslevel interaction for the timeconsistent/betweencluster variable M on the withinlevel relationship of the timevariable x and y? b) assuming that the random intercept xx has a negative sign (e.g. 0.10) and the effect of M on xx is positive (e.g. 0.50)  does this mean that with each increase in the unit M the xx relationship increases by 0.50 (resulting in a positive xx relationship for aboveaverage values in M?) c) Is there a way to visualize the crosslevel interaction in Mplus? Here's the model: DEFINE: Center M (grandmean); !grandmean variable M ANALYSIS: TYPE = TWOLEVEL RANDOM; ESTIMATOR = BAYES; PROC = 2; ! BITER = (1000); THIN = 10; ! MODEL: %WITHIN% xx  x ON x&1; yy  y on y&1; xy  x on y&1; %BETWEEN% xx WITH yy xy x y; yy WITH xy x y; xy WITH x y; xy ON M; !crosslevel interaction OUTPUT: TECH 1 TECH8 STDYX; PLOT: TYPE = PLOT3; FACTORS = ALL; 


When you say x on y, note that this is saying that you regress x on y, that is, y influences x. It does not mean that x has an influence on y. With this caveat, a) is ok. You say xy on M in the input but you imply xx on M in the text. With this caveat, b) is correct. Regarding c), see crosslevel plotting at http://www.statmodel.com/Mediation.shtml 

L. Greiner posted on Sunday, June 28, 2020  11:00 pm



Thanks for your quick help, this was really helpful. And yes you were right assuming that I was talking about xy and not xx  sorry for the confusion. 

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