Multilevel model with group-level out... PreviousNext
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 Murphy Tucson posted on Tuesday, March 01, 2011 - 12:42 pm
I would like to estimate a model to predict a group-level outcome that is measured at three times.
The main predictor is "team climate" which is measured at the individual level, but is aggregated to a group level variable. Furthermore, I have some control variables at the individual level (e.g., sex, age).
The basic idea is to create a multilevel model that accounts for (1) individual variance both in the measurement of the team climate variable and in the prediction of the team-level outcome, and (2) the variability of the outcome across time. How can I specify such a model in Mplus?
Your help is much appreciated.
 Bengt O. Muthen posted on Tuesday, March 01, 2011 - 1:45 pm
(1) Here is one way to think about it. You may compare your case with the UG ex 9.1 figure on page 239. For the Within level (individuals) it sounds like you have individuals' team climate ratings as y, and control variables as x's. For Between (group) you have the y circle as a random intercept which varies across groups. That is your aggregate team climate, expressed as a latent variable. On Between it sounds like you don't have any w or xm variables, so you can just say


(2) Here the question is if you want to study growth or if time is just a nuisance and you simply want to take into account correlation across time. Multilevel growth models are shown in UG ex 9.12 and on.
 Murphy T. posted on Wednesday, March 02, 2011 - 1:50 am
Thanks for your answer. I have some follow up questions. To specify:

(1) I have team performance as the dependent variable (measured at the team level only) and I want to regress it on team climate (team level) and control variables (individual level). Can I specify team performance (measured at team level) as the dependent variable on both within and between? Or do I have to specify team performance on between only and some other dependent variable on within?

(2) I just want to take it into account and not study growth. How can I specify this?

Thanks very much from a new Mplus user.
 Bengt O. Muthen posted on Wednesday, March 02, 2011 - 10:37 am
(1) You say

Between = teamperf;

in the VARIABLE command and in the MODEL command:

y on x1 x2;
! x1 x2 are control variables and y refers to
!team climate

teamperf on y;
! y is between part of team climate (the
! random intercept)

Is only the group-level outcome team performance measured 3 times, or are the other variables also measured 3 times?

To learn quicker, you may want to consider attending our multilevel course that we give end of March at Johns Hopkins.
 Murphy T. posted on Friday, March 04, 2011 - 9:50 am
Thank you very much.

(1) Do I understand it correctly that team climate has to be the individual level team climate variables rather then the (team-level) aggregated scores?

(2) Only the group-level outcome team performance is measured at 3 times; the other variables are measured at one time.
 Bengt O. Muthen posted on Saturday, March 05, 2011 - 2:43 pm
1. If you have individual-level control variables x, then using the individual level team climate in the way shown seems best.

2. Then you can handle that simply by saying

teamperf1-teamperf3 on y;

That is, you have 3 between-level team performance variables as 3 columns in your data.
 Murphy T. posted on Wednesday, September 21, 2011 - 12:58 am
Thank you! I have now specified the model and it works (I decided to use only one measurement point for theoretical reasons, however).

Now I tried to specify an interaction between two latent variables at the between level. Both are individual-level variables that reflect team-level constructs. I used the XWITH command but got the error message:

"The XWITH option is not available for observed variable interactions. Use
the DEFINE command to create an interaction variable.

My input was:

CLUSTER = tid;
BETWEEN = Zaewg_1;
Zsoccyn Zaewg_1);
Type = twolevel RANDOM;
ZCS ZAR ZEM ZMP Zsoccyn on Zsex Zage;
Zaewg_1 on ZCS ZAR ZEM ZMP Zsoccyn;
Zsocc_CS | Zsoccyn XWITH ZCS;
Zaewg_1 on Zsocc_CS;

Where "ZCS", "ZAR", "ZEM", "ZMP", "Zsoccyn" are the team climate variables; "Zsex" and "Zage" are individual-level controls and "Zaewg_1" is the team-level outcome.

It would be great if you could help me. Thank you very much.
 Linda K. Muthen posted on Wednesday, September 21, 2011 - 9:12 am
You can put a factor behind each of them on between, for example,

f1 BY Zsoccyn;

and use the factors in XWITH.
 Johnna Capitano posted on Friday, April 26, 2013 - 1:07 pm
I have a dataset of days clustered within people. My indirect model is all at a within level (all day level variables). I want to control for a between (level 2) variable.

Since the analysis is Type=Twolevel, I have the MODEL: %Within% followed by the model relationships.

How do I specify the controls? It seems that since the outcomes are at L1 and the controls are at L2, it will not allow me to regress on one the other in either a %between% or %within% statement.

Thank you!
 Bengt O. Muthen posted on Friday, April 26, 2013 - 2:08 pm
I assume that your day-level variables have variation across level-2 units. If so, their between-level parts, their random intercepts, can be related to the control variable. That's how variables can relate across levels.
 J. Botterman posted on Friday, November 22, 2013 - 2:55 am
Hi Bengt/Linda,

I have a dataset of individuals nested in teams. Some individuals, however, are members of several teams (e.g. 5 teams). Furthermore, my outcome variable is measured at the team level, while all predictors are measured at the individual level.

How would I construct a model incorporating the fact that the outcome variable is measured on the group level and the predictors on the individual level, while also taking into account that some individuals are members of multiple teams?

I've not seen an example in the literature on the combination of these two issues.

Your help is greatly appreciated.
 Bengt O. Muthen posted on Sunday, November 24, 2013 - 3:37 pm
You may want to take a look at the multiple membership literature:

and perhaps also the cross-classified literature:

Gonzalez, De Boeck, Tuerlinckx (2008) A Double-Structure Structural
Equation Model for Three-Mode Data. Psychological Methods, 337 -
 Thomas Rigotti posted on Friday, October 10, 2014 - 7:36 am

we want to analyse multilevel-data (indiviudals nested in teams) with a level 2 outcome (e.g. leaders' satisfaction), and a level 2 moderator (e.g. a leaders' trait).
The independent variable is on level 1.
This is our syntax. We are not sure if this is correct. Any corrections or hints are welcome!
Does the (cross-level) interaction have to be defined as a between variable?

usevar = Leader_A Member_A Leader_J IactA;
BETWEEN ARE Leader_A Leader_J;
center Leader_A (grandmean) Member_A (groupmean);
Leader_J on Leader_A Member_A IactA;
 Bengt O. Muthen posted on Friday, October 10, 2014 - 3:24 pm
So you intend "Member_A" to be the latent between-level part of the Member_A variable. Read about that under Part 2 of the UG ex 9.1 on page 262.

You should drop RANDOM in the Analysis command since you have only a random intercept/mean.
 Hanna Ollila posted on Tuesday, October 21, 2014 - 5:31 am
I am interested in analyzing data consisting of repeated measures in clusters (schools) but with different individuals (students) at each time point. The objective is to analyze whether certain intervention had effect on the smoking prevalence in these schools, at two time points after the baseline. Everything is measured at the individual-level, but I'm using some of the measures as aggregated means on school-level, to serve as indicators of the school tobacco control policies. For me, measuring change over time is important, so could you advice how to analyze that in Mplus with this kind of data? I would prefer using binary outcome variable (daily smoker/other).
 Bengt O. Muthen posted on Tuesday, October 21, 2014 - 12:23 pm
So are you saying that you want a binary growth model for 3 time points where the repeated outcome is an aggregate over students in the schools? Is the unit of analysis school? How many schools do you have?
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