Message/Author 


I'm trying to run an LTA with 4 time points and 3 classes for each time point and a single covariate (3 level variable modeled with dummy variables)influencing the transitions, which I modeled as an interaction. I can't seem to figure out if the transition probabilities average over the covariate or are calculated without the covariate. My goal is to determine if the transition probabilities differ by level of the covariate. Can I get this matrix by each level of the covariate? Also, how do I interpret the estimate given for regression of the classes (e.g., C1#1, C1#2) on the covariate? Thanks for your help. 


They average over the covariates. There is not automatic way to get this matrix for each level of the covariate. See the Nylund dissertation on the website for detailed information about LTA. 


Thanks for your help. I'm now having trouble with setting my reference class. I tried changing the starting values, but that didn't work. I want no alcohol use to be the reference class (coded as 0 for all the alcohol variables), but with the output below Class 3 is the problem alcohol class (1s on all the alcohol variables). It is a 3 class model with 4 time points. CLASSES = c1(3) c2(3) c3 (3) c4 (3); ANALYSIS: TYPE = MIXTURE MISSING; MODEL: %OVERALL% c2 on c1; c3 on c2; c4 on c3; MODEL c1: %c1#1% [alcopp6r$1  alcsoc6$1*15] (17); %c1#2% [alcopp6r$1  alcsoc6$1*1] (814); %c1#3% [alcopp6r$1  alcsoc6$1*15] (1521); MODEL c2: %c2#1% [alcopp7r$1  alcsoc7$1*15] (17); %c2#2% [alcopp7r$1  alcsoc7$1*1] (814); %c2#3% [alcopp7r$1  alcsoc7$1*15] (1521); MODEL c3: %c3#1% [alcopp8r$1  alcsoc8$1*15] (17); %c3#2% [alcopp8r$1  alcsoc8$1*1] (814); %c3#3% [alcopp8r$1  alcsoc8$1*15] (1521); MODEL c4: %c4#1% [alcopp9r$1  alcsoc9$1*15] (17); %c4#2% [alcopp9r$1  alcsoc9$1*1] (814); %c4#3% [alcopp9r$1  alcsoc9$1*15] (1521); 


For u = 0, 1 a threshold of 15 ensures u = 1 and a threshold of +15 u = 0. Looks like class 1 and 3 should be switched. 


Hi, I'm running a LTA with 2 time points and would like to know whether transition probabilities vary by gender while controlling for age; and vice versa. Age is categorical (6574; 7584;85+ years). I tried regressing on both age and gender but then I can only estimate gender specific transition probabilities one age group at a time and not across age groups. Yes I read chapter 13...a thousand times. Did I miss something? Instead, would it make sense to use a "known class" for gender and regress on knownclass and age to get my gender transition probabilities while controlling for age? Here's what I have in mind: CLASSES = cg (2) c1(4) c2(5); KNOWNCLASS = cg (sex=0 sex=1); ANALYSIS: TYPE = MIXTURE; MODEL: %OVERALL% c2#1c2#4 on c1#1c1#3 cg age; Thanks! I'm running out of ideas here...and the reviewers will be asking for this! 


It sounds like you want the marginal transition effect for a certain covariate from a model with several covariates. If you create a gender knownclass, a transition probability table for c1 x c2 would give you what you want. I don't recall if this is what the output provides, but do try. Otherwise, perhaps you have to estimate say the gender effect at each age and then weight the transitions probabilities with the frequencies of the ages. 


Exactly, I want the marginal transition effect. I did run the model and the output gives me the mean Cg#1 and the regression coefficients for each (C2#. on Cg#1) and (C1#. on Cg#1). It also gives me the overall transition probabilities (c1 x c2) and the (Cg classes x C1 classes). Now, I’m not certain how to calculate the transition probabilities with a known class (e.g. gender). For example, to estimate transition probabilities from C1#1 to C2#1 when female=1. Do I just add the following terms to calculate the log odds (referring to your 2x2 table in chapter 13): a1 + b11 + (Cg#1) + (C2#1 on Cg#1)? For male, I would just use the table as it is since male=0. Thank you for your precious help. LL 


The LTA dissertation by Karen Nylund on our web site under Papers, Latent Transition Analysis gives details on how to compute transition probabilities as a function of covariates. 

xybi2006 posted on Tuesday, February 24, 2015  6:39 pm



Dear Dr. Muthen, I used latent class analysis to look at how individuals cluster into distinctive groups based on a set of symptoms. Besides only looking at it crosssectionally, I wanted to know how consistent these clusters are over time (I have five waves data). Should I use latent transition analysis to modeling this question? Thank you, 


Yes, that would be natural. But start with 2 timepoints to get into it. 


Dr. Muthen, I am running a power simulation for my LTA study with multiple covariates. As a result, I ran MC example 8.14 (LTA with a continuous covariate) with multiple covariates. I fixed the mean and variance of the other covariates. I also estimated the regression of c1 on all covariates and the regression of the c1c2 transition (c2 regression under classspecific c1 commands) on all covariates. Apart from those changes in the model and model population statements, I did not make any other changes to the example. However, when I run the program, it ignores the model population statements regressing the c1c2 transition on any covariates except for the first and throws this as an error. Please let me know if you have any thoughts on what might be causing this error and thanks for understanding. Thanks, Raghav 


Please send the output and your license number to support@statmodel.com so I can see the error. 

Alvin posted on Monday, August 10, 2015  11:48 pm



Hi Bengt/Linda, I wanted to do a subsidary analysis of crude predictors of the transitional classes. I did a threemodel LTA across two time points with full measurement invariance. Then looked at covariates using the threestep approach, all within Mplus. My question is would be possible to extract class memberships of the transitional classes (I am particularly interested in those who transitioned from T1 asymptomatic to comorbid at T2). I tried to do this using (save cprob) but didn't work. Should I look at class memberships at each time point and then derive transition patterns (e.g. subset those who are in class 2 at T1 and class 3 at T1, assuming that class 2=asymptomatic and class 3=comorbid). Or is there a better way to do this? Your advice much appreciated. 


The cprobs should come out for the combination of all the classes, so you can get the transition values you want. If you have problems, send relevant output and license number to support. 


Hi Bengt/Linda, I'm running a LTA model. I have two time points. At each time 3 classes. I have some concerns about the autoregressive path "C2 on C1", for two reasons: 1. Why "C2 on C1" results in 6 coefficients when the model is unconditional, while 4 coefficients when covariates are added? UNCONDITIONAL MODEL C2#1 ON C1#1 0.569 0.063 8.959 0.000 C1#2 0.293 0.041 7.109 0.000 C1#3 0.000 0.044 0.002 0.998 C2#2 ON C1#1 0.094 0.043 2.207 0.027 C1#2 0.195 0.031 6.308 0.000 C1#3 0.014 0.131 0.107 0.915 CONDITIONAL MODEL C2#1 ON C1#1 14.186 8.637 1.643 0.100 C1#2 13.027 8.638 1.508 0.132 C2#2 ON C1#1 6.313 3.175 1.988 0.047 C1#2 6.309 3.127 2.017 0.044 2. In the unconditional model, the coefficients seems too high (and consequently their ORs). Is this normal? What could be wrong? Thanks, Angela 


Please send the two outputs to Support along with your license number. 


Hi, I'm studying how to include covariates and distal outcomes in a LTA model using a 3step approach. I actually succeeded in it (also requiring measurement invariance). My only concern is about auxiliar variables. Am I correct in affirming that specifications about auxiliar variables like: (R) (E) (R3STEP) (DU3STEP) (DE3STEP) (DCON) (DCAT) have to be used only for LCA? Instead for LTA models covariates are specified as: c1 ON x; c2 ON c1; while outcome are tested using model constraint in order to test means equality? thanks, Angela 


Right. For LTA, see Asparouhov, T. & Muthén, B. (2014). Auxiliary variables in mixture modeling: Using the BCH method in Mplus to estimate a distal outcome model and an arbitrary second model. Web note 21. 


Dear Dr. Muthén, I am running a LTA using the threestep approach according to Web Note 13 and NylundGybson et al (2014) paper. I have three classes at each of both times. I am specially interested in the interactions of the covariates on the transition probabilities and would also need to try out the model with other covariates. I obtain the following message: ONE OR MORE MULTINOMIAL LOGIT PARAMETERS WERE FIXED TO AVOID SINGULARITY OF THE INFORMATION MATRIX.... Moreover, the output give estimates only for latent class patterns 1 1, 2 1 and 3 1. I am not sure why this happens, if my syntax is correct and how should I interpret the results. My syntax is: %OVERALL% T2 ON T1; T1 ON PIPRE MATCOUR; T2 ON PIPRE MATCOUR MKT; Model T1: %T1#3% [T1CLASS#1@3.621]; [T1CLASS#2@0.883]; T2 ON PIPRE MATCOUR MKT; %T1#2% [T1CLASS#1@1.646]; [T1CLASS#2@5.163]; T2 ON PIPRE MATCOUR MKT; %T1#1% [T1CLASS#1@10.567]; [T1CLASS#2@2.714]; T2 ON PIPRE MATCOUR MKT; Model T2: ... (has also fixed values) 


Please send your full output to Support along with your license number. 

Daniel Lee posted on Tuesday, February 12, 2019  8:58 pm



Hello, I too am having trouble with changing the reference class for an LTA model with covariate/interaction. In particular, I would like to set "C2#3" (in "C2#3 on rdea") as the reference class, not "C2#6" (which seems to be the default). Thank you for your help. Model: %OVERALL% C2 on C1; C1 on sex eduea rdea strsea; Model C1: %C1#1% [centEA humEA pubEA prvEA assEA natEA minEA] (em1em7); centEA humEA pubEA prvEA assEA natEA minEA (ev1ev7); C2#1 ON rdea (g11); C2#2 ON rdea (g21); C2#3 ON rdea (g31); C2#4 ON rdea (g41); C2#5 on rdea (g51); %C1#2% [centEA humEA pubEA prvEA assEA natEA minEA] (em8em14); centEA humEA pubEA prvEA assEA natEA minEA (ev8ev14); C2#1 ON rdea (g12); C2#2 ON rdea (g22); C2#3 ON rdea (g32); C2#4 ON rdea (g42); C2#5 on rdea (g52); %C1#3% [centEA humEA pubEA prvEA assEA natEA minEA] (em15em21); centEA humEA pubEA prvEA assEA natEA minEA (ev15ev21); C2#1 ON rdea (g13); C2#2 ON rdea (g23); C2#3 ON rdea (g33); C2#4 ON rdea (g43); C2#5 on rdea (g53); 


You want to switch the estimates of the parameters that describe the relationships between the latent classes and the outcomes 

Daniel Lee posted on Thursday, February 14, 2019  8:32 am



Do you mean switching like this? Model: %OVERALL% C2 on C1; C1 on sex eduea rdea strsea; Model C1: %C1#1% [centEA humEA pubEA prvEA assEA natEA minEA] (em1em7); centEA humEA pubEA prvEA assEA natEA minEA (ev1ev7); C2#1 ON rdea (g11); C2#2 ON rdea (g21); C2#4 ON rdea (g31); !class 3 reference C2#5 ON rdea (g41); C2#6 on rdea (g51); The error I receive is: *** ERROR in MODEL command No reference to the slopes of the last class is allowed. How would I switch estimates of the parameters that describe the effect of X on the transition 


No I mean switch the parameters of the measurement model that give the classes their meaning, so the Y  C part of the model. E.g. %C#1% [y*1]; %C#2% [y*1]; Would be changed to %C#1% [y*1]; %C#2% [y*1]; 

JuliaSchmid posted on Wednesday, January 15, 2020  8:54 am



Hi there I'd like to run a LTA with a covariate. We have 5 patterns (with 6 indicators). I want to examine if the transition probabilities are influenced by a binary variable (= Interventiongroup vs. Controlgroup). I created my inputfile in accordance with the User Guide Chap. 8.13.: usevar = CCPT1 INT1 Einst1 Kraft1 SR1 HrFK1 CCPT2 INT2 Einst2 Kraft2 SR2 HrFK2; idvariable = ID; missing = all(99); cluster = class; classes = cg(2) c1(5) c2(5); knownclass = cg (group = 0 group = 1); analysis: Processor = 3; Type = mixture complex; Starts = 10000 500; STITERATIONS = 500; model: %Overall% c1 c2 on cg; model cg: %cg#1% c2 ON c1; %cg#2% c2 ON c1; model c1: %c1#1% [CCPT1 INT1 Einst1 Kraft1 SR1 HrFK1] (m1m6); .... model c2: %c2#1% [CCPT2 INT2 Einst2 Kraft2 SR2 HrFK2] (m1m6); ... I have three questions: 1) is my input file correct? 2) Could you please explain the logic overall and modelcommand? 3) I have hard times to understand the output. Where can I see, if the covariate has a significant influence on the transition probabilities? Thank you very much in advance! 


1) Looks correct 2) The Overall statements refer to model parameters that don't vary across classes. The Model C statements refer to model parameters that vary over classes but only the classes of the class variable mentioned in Model C. For instance, your Model c1 and Model c2 statements refer to parameters that vary over only those classes, not the cg classes. If you want full generality, you use the "dot" approach, for instance %cg#1.c1#1.c2#1%  and so on for each combination of classes. 3) You have 2 sets of c2 ON c1 and if their difference is significant it tells you that the transition probabilities are different. You can express those difference using Model Constraint, either in the logit scale provided in the output or in the scale of transition probabilities. This is described in the Mplus Web Note 13: Muthén, B. & Asparouhov, T. (2011). LTA in Mplus: Transition probabilities influenced by covariates. Mplus Web Notes: No. 13. July 27, 2011. 

shonnslc posted on Thursday, January 30, 2020  10:23 am



Hi, I am doing latent transition probabilities influenced by covariates using Mplus. I have some questions: 1. If I understand the web notes correctly, using Parameterization 2, g11 actually is not the coefficient for the interaction term since g11 is the sum of g1 and g11 using Parameterization 1. Therefore, on page 21 of the notes, although the estimate 1.963 is statistically significant, it doesn't mean the interaction term is significant. Am I right? 2. Using Parameterizaton 1 (pg 7), is b11 a dummy variable (1 = first class in C1, 0 = third class in C1) and b12 (1 = second class in C1, 0 = third class)? Thank you! 


1. Right. The interaction is captured by the difference between g11, g12, and g13 and between g21, g22, g23, that is, the difference between the rows. 2. Right. So for a 2 x 2 case without x, you have a+b 0 a 0 where b is C2#1 on C1#1. 

Nicole S posted on Thursday, April 02, 2020  6:12 pm



Hi there I am working with a model based on LTA syntax for a 2 level categorical variable at two time points. I'd like to examine covariates in this model. However, although I have a very large total N (more than 10,000) there is a very large difference in the ns for each category (e.g. n = 700 vs. n > 10000), and the transition ns between categories are (relatively speaking) very small (around n = 150 or less). In other models, the situation is worse (e.g. transition n = 20). Are there any clear guides on determining an appropriate number of covariates in these instances? or for LTA models in general? I've been looking myself but haven't come across anything, other than rules of thumb related to logistic regressions more generally. Cheers. 


I am not aware of such written guidelines and your case is quite specific. You can do your own MonteCarlo study in Mplus to she light on it. 

shonnslc posted on Saturday, May 09, 2020  10:13 pm



Hi, I have a question about LTA with transition probabilities influenced by a covarite X. I read the Webnotes and UG 8.14. It seems that there is an assumption that the covariate X will influence the latent class formation of C1 and C2. I am wondering if this is the default assumption or can I not to influence the latent class formation when including covariate x in UG 8.14 model. Thank you! 


Yes, X will influence class formation to some extent. We describe a multistep procedure if you want to avoid this in the LTA section of Web note 15. 


Hello, Is it possible with Mplus to examine the effects of transitions (LTA model independent variable) on transitions (LTA models dependent variable)? Cheers 


Are you referring to the effect of a covariate on transitions? Or the effect of a transition on another transition (what that would mean, I am not sure)? 


Hi, I am referring to the latter (effect of a transition on another transition). Thanks 


Do you mean that you have 2 LTAs, one earlier than the other? 


Hi, I have two LTA models for two different measuresvariables that are measured at similar multiple points e.g transitions to retirement (x var) as predictors of changes in social support latent classes (y var). Thank you Georgia 


Hi again, the issue could be solved if I could model LTA with timevarying covariates (i.e to model transitions to retirement). Is this possible? thanks Georgia 


Yes, timevarying covariates are possible in LTA. 


When you mentioned "effect of a transition on another transition", perhaps you were referring to Flaherty's ALTA model for two LTA processes with crosslagged relationships. You can handle his model in Mplus as was done in the 2009 JCCP article by Witkiewitz et al. 

GC posted on Tuesday, June 16, 2020  11:21 am



Hi, thank you very much for your answers. Georgia 

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