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Fitting a multivariate latent trait m...
Latent Variable Mixture Modeling
posted on Sunday, March 28, 2010 - 11:46 pm
Hello, I am a beginner and try to fit a multivariate latent trait model in Mplus:
Prob (Y_gki <= c_l | Z_gi, U_gi)
= r_gk + (1 - r_gk)/(1 + exp(-(alpha_kl + beta_k*Z_gi + delta_k*U_gi)))
g = 1,2 indicating groups,
k = 1,..., 7 indicating 7 instrument items,
i indicating the subject number in each group,
so Y_gki is the response for item k from subject i in group g;
each item has a Likert scale with responses 0-5
Z_gi = (Z1_gi, Z2_gi) is 2 dimentional latent variable and assumed to follow bi-variate normal distribution
It's known that Z1 relates to first 3 instrument items and Z2 relates to the other 4 items. So beta_k can be determined.
U_gi is observed covariate.
The parameter of interest is r_gk and its MLE is needed.
May I know if Mplus can fit such a model? If yes, which example/section of handouts/paper shall I follow?
Thanks a lot!!
Linda K. Muthen
posted on Monday, March 29, 2010 - 2:24 pm
I think r is a guessing parameter. The current version of Mplus does not estimate a three-parameter IRT model.
posted on Monday, March 29, 2010 - 4:35 pm
Thanks for your response, Linda.
Do you know if there any other approaches to fit such a model?
Linda K. Muthen
posted on Tuesday, March 30, 2010 - 2:29 pm
I don't know of any program that includes the guessing parameter and covariates. Check to see if any of the IRT programs put out by Scientific Software can do this.
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