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I have a two level data set, different time points (level 1) nested within individuals (level2). I want to test my research model at level 1 because I am testing the momentary dynamics of my construct. However, because of the repeated measures, I used one item to represent a construct (latent variable). If I want to use that item at level 1 as a latent variable, how can I specify that on Mplus. If I use the ON command (see below), it would be a path a analysis, but I want a structural model with latent variables. ANALYSIS: TYPE = GENERAL TWOLEVEL; MODEL: %WITHIN% F2 by X1 X2 X3; Item1 ON F2 Is there another command that can be use for that? Thus, converting the observed variable (item 1) into a latent variable. |
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Why would you want to convert the observed variable into a latent variable? Nothing is gained by that unless you fix the unreliability of the variable. |
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Yes, you are right. I was reading the article Muthen (1991) -Multilevel factor analysis and achievement scores -in order to get the information for this syntax and apply to the within model. F by y@1; y@a; a=(1-reliability)*sample variance. I was able to obtain the variance from the ICC, however, I am still having trouble determining the reliability. In the study Muthen (1991) pg. 345 , it is mentioned that within reliability = wf/(wf+we) From the information I get on the ICC I can get the information below the equation, (wf+we), but I can't get the wf from anywhere. I am still trying to decipher how to obtain wf in order to determine the within reliability. Any tips or further information you have on this would be really appreciate it! |
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Your estimated 2-level factor analysis model gives wf as the estimated within-level factor variance and we as the estimated within-level residual variance. |
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Hi Bengt, thank you for the reply. I think that would work out, if I already know the reliability of my item and can run the analysis. However, I do not have at the present moment. I am not sure from which sources can I obtain this reliability. Do you have any suggestions or papers for estimating this reliability? |
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In my paper those reliabilities are not known but estimated from the data. |
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Y.A. posted on Sunday, August 02, 2020 - 11:13 pm
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Dear Prof. Muthen, Is there any way to calculate reliablity for a single item (in single level data or multilevel data)? I would like to report the reliability of my single item measure in the method section, but could not find the proper way. Than you very much. |
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No, not unless you have longitudinal data with auto-regression. |
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