I'm trying to test for the invariance of a path that predicts a dichotomous DV (ENDLINK). I'm hoping that someone could confirm (or not!) my interpretation. I used the DIFFTEST option.
First, I ran: USEVARIABLES ARE story comps temp bitotal endlink; CATEGORICAL IS endlink; GROUPING IS target (1 = immigrants 2 = elderly 3 = prisoners); MODEL: comps on story (1); temp on comps (2); bitotal on temp (3); endlink on bitotal (4); Model elderly: endlink on bitotal ; Model prisoners: endlink on bitotal ; SAVEDATA: DIFFTEST IS deriv.dat;
Then I ran: CATEGORICAL IS endlink; GROUPING IS target (1 = immigrants 2 = elderly 3 = prisoners); ANALYSIS: DIFFTEST IS deriv.dat; MODEL: comps on story (1); temp on comps (2); bitotal on temp (3); endlink on bitotal (4);
And in the output I see: Chi-Square Test for Difference Testing Value 2.915 Degrees of Freedom 2** P-Value 0.2328
I just want to make sure that I can interpret this as suggesting that the path from bitotal to enlink does not differ between the three groups.
Many thanks, in advance, for any insight to this new user of MPlus.
Hello, Dr. Muthen -- about the DIFFTEST,i read the paper "robust chi square difference testing with mean and variance adjusted test statistics",the paper studied the type 1 rates, both rates are sufficiently close to the nominal rejection rate of 5%. then, i now want to know the power of the DIFFTEST, for example if the measurement invariance don not exist, can DIFFTEST successfully detecte it ?if there are 500 such situations, how many the DIFFTEST can successfully explore the measurement invariace. i cannot find the paper exploring this, can you give me some adivice? thank you very much for your any advice and help.
I don't know of any paper that studied power for DIFFTEST. There is a DIFFTEST technical appendix on the website that also shows the proper way to study DIFFTEST giving example inputs for the two steps needed.