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Len Simms posted on Wednesday, September 07, 2011  2:02 pm



I would like to test DIF across two groups using the bifactor model. in particular, I need the ability to test for differences in both loadings and difficulties across the two groups along the general factor. How can this be done with mplus? Also, when mplus does DIF, how does it deal with groups that have different mean levels on the underlying general factor? In a typical IRT analysis, some adjustments are needed on the betas if there is a mean theta difference across groups. How is this done in mplus? Thanks, Len Simms 


You give labels to the parameters of the loadings and thresholds that you are interested in, and make those labels the same vs different in the groups you want to analyze. 2 times the loglikelihood difference for the two models gives the chisquare test of DIF if you use ML. With WLSMV you use DIFFTEST. The different groups have different factor means and variances as the default. No adjustements are needed. 

Len Simms posted on Wednesday, September 07, 2011  9:07 pm



Thank you Dr. Muthen. That should get us started. 


Hi Dear Linda/Bengt, I would like to fit a bifactor IRT model in Mplus. I have come up with the following syntax , items are mixed items format test, Is it correct model has been set Thank you. Sincerely, mohammad ahmadi VARIABLE : NAMES ARE i1i147; USEVARIABLES ARE i2i147; CATEGORICAL ARE i2i147; Missing are all (9) ANALYSIS : ESTIMATOR IS ML; LINK IS LOGIT; MODEL: G by i2* i3i147; G@1; [G@0]; F1 BY i2i14*; F1@1; [F1@0]; . . F10 BY i129i147*; F10@1; [F10@0]; ! uncorrelated factors G with F1F10@0; F1 with F2F10@0; . . F9 with F10@0; ! Item thresholds free ! First threshold [i2$1]; . . [i147$1]; ! Second threshold [i2$1]; [i3$1]; . [i146$1]; [i147$1]; PLOT : TYPE IS PLOT1 PLOT2 PLOT3; SAVEDATA : SAVE = FSCORES; FILE IS bimono.dat; OUTPUT : STDYX; RESIDUAL TECH1 TECH5 TECH8 TECH10; 


This looks correct but note that the thresholds are free by default. 


Hi Dear Linda/Bengt I would like to fit a Bifactor Multidimensional Item Response Theory (MIRT) Differential Item Functioning (DIF) Model With a Bayesian Estimation in Mplus. But I want to do with An iterative item purification procedure and In addition, the set of anchor items contain at least one item from each testlet that free of DIF to ensure that the anchor set does not contain items that show DIF. 1Is there such a facility in this software? 2can compute impact(difference between latent ability of groups? 3 can compute testlet effect? 4can compute variance of testlet effect? 5 can compute mean of ability distribution? Thank you. Sincerely, mohammad ahmadi 


Mplus does not automate "an iterative item purification" but perhaps that is something you do. 1. Yes you can specify that certain items don't have DIF. 2. yes. 34. I don't know what that is but if a testlet effect is captured by a factor  then yes. 5. yes 


Thank you Dr. Bengt O. 


Hi Dear Linda/Bengt I have implemented a bifactor model with ten Testlet. But two Testlet has items with positive and negative factor loading on Testlet, actually any testlet measure two different trait: 1Should any Testlet be converted into two Testlet and implemente a bifactor model with twelve testlet? 2 Also a number of items have Nonsignificant factor loadings on any Testlet, Should in final analysis, these items be removed Please guide me in this case Thank you. Sincerely, mohammad ahmadi 


You want to ask these general analysis strategy questions on SEMNET. 

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