# [R] sobel.lme

From: Sebastian Stegmann <stegmann_at_psych.uni-frankfurt.de>
Date: Thu, 24 Jun 2010 12:30:47 +0200

Dear R-community,

I am just conducting various mediation analyses with data from individual participants who are nested in teams. I found the “sobel.lme” function to be pretty helpful when doing so. (A big thank you to Paul Bliese for his multilevel-package and the awesome manual!) Here’s the example from the Help-file: data(bh1996)
library(nlme)
#A small but significant indirect effect indicates leadership mediates
#the relationship between work hours and well-being.

The package estimates three regression models according to standard-mediation-analysis-operating-procedure. Each model has one intercept and one/two slopes.

Question 1)
Does “sobel.lme” estimate:

```a) random intercept, fixed slope(s) → as in for example Krull & MacKinnon (2001) Multilevel Modeling of Individual and Group Level Mediated Effects
b) random intercept, random slope(s) → Does not necessarily involve a predictor for the slope on level 2 – as this would be phrased moderation rather then mediation (potential matter of dispute, though…).
c) fixed intercept, fixed slope(s) → wouldn’t make much sense given the purpose of the function…
d) fixed intercept, random slope(s) → wouldn’t make much sense either…

```

Question 2)
I know R is sometimes smarter than one would expect after having used other statistical software for years, but… Multilevel Mediations can take in principle three forms (Krull & KacKinnon, 2001; numbers indicate levels):

```1->1->1
2->1->1
2->2->1
```

Is “sobel.lme” really smart enough to “notice” that a variable is constant within groups and therefore assigns it to the group level accordingly? If not, it would probably help to know which of the above three mediation-forms is implemented in the function.

Thanks for reading this lengthy mail. It would be really nice if anyone could tell me (and the help-archive) anything regarding these two questions.

Cheers
Sebastian

```--
Dipl.-Psych. Sebastian Stegmann
Goethe University, Frankfurt, Germany

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