Message/Author 

Laney Sims posted on Thursday, August 31, 2006  9:02 am



I have a simple model for a longitudinal study with two variables over three points in time. My input statement is: Analysis: type = missing H1; estimator=ML; Model: pbrt2 on pbrt1 aainv1; aainv2 on pbrt1 aainv1; pbrt3 on pbrt2 aainv2; aainv3 on pbrt2 aainv2; pbrt1 with aainv1; pbrt2 with aainv2; pbrt3 with aainv3; Output: sampstat; standardized; I am getting the following message in the output: THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.176D13. PROBLEM INVOLVING PARAMETER 23. Could you explain how my results might be affected by this? Thank you. 


The results are not valid if a model is not identified. If you ask for TECH1 in the OUTPUT command, you can see what parameter 23 is. If this does not help, please send your input, data, output, and license number to support@statmodel.com. 

Laney Sims posted on Friday, September 01, 2006  7:37 am



Parameter 23 is the value in the PSI matrix corresponding to aainv1 vs. aainv1, which appears to be the variance of that variable. I don't see anything unusual about the variance of aainv1 (0.234) compared to the others in the SAMPSTAT output or the MODEL output. Do you have any suggestions, or should I email my files for additional help? Thank you. 


Please send your input, data, output, and license number to support@statmodel.com. 

Kelvin Choi posted on Thursday, September 04, 2008  6:52 pm



I have a similar problem as described above. I asked for TECH1 and found out the parameter is edu vs. edu (covariance coverage=0.935). Are the results still trustworthy? If not, how can I resolve this issue? Thanks. 


Please send your input, data, output, and license number to support@statmodel.com. 


I am having a similar problem when I weight my data. That is, the model converges fine with unweighted data, but when I add the weight, I get the same error message: THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.209D10. PROBLEM INVOLVING PARAMETER 114. If the results were fine with unweighted data, can I trust the weighted results? 


I could not say without more information. Please send your input, data, output, and license number to support@statmodel.com. 


I'm having a similar problem. I am running a multigroup analysis. The warning also points to the variance of one of my variables. I looked at the descriptives for this variable and everything looks ok, but there is a lot of missing data on this variable. Could the amount of missing data cause this problem? Is there a way that I can still include this variable in my model? It is a very important control. Thanks! 


I could not say without more information. Please send your input, data, output, and license number to support@statmodel.com. 


Dear Linda, I am testing a sequential mediation model with Mplus. However, when I reverse my model (to say something about causality), I get the following error message: MAXIMUM LOGLIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS 5603.305 THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.236D12. PROBLEM INVOLVING PARAMETER 45. It does run my model, but my reversed model indicates better fit, which makes no sense theoretically. Is it possible this error message influences my results? Kind regards, Kim 


I would need to see the full output to answer this. Please send it and your license number to support@statmodel.com. 

Elise Pas posted on Friday, June 24, 2011  11:40 am



I have gotten the same error as discussed above for a CFA conducted with a clustering variable. THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.260D17. PROBLEM INVOLVING PARAMETER 23 In addition, my output said: THIS IS MOST LIKELY DUE TO HAVING MORE PARAMETERS THAN THE NUMBER OF CLUSTERS MINUS THE NUMBER OF STRATA WITH MORE THAN ONE CLUSTER. I entered the cluster variable to account for nesting in my data but will not be including any betweenlevel specifications. To test if the issue is in fact the cluster size, I ran the same CFA without the cluster ID (or the type=COMPLEX command) and the entire error message disappeared. It seems I received this message because of my cluster size (n = 23) being smaller than the number of freed parameters (i.e., 31) but what I do not understand is why this error message would also indicate an issue with a parameter (which in this case was the psi of an observed variable). Are the number of freed parameters actually the problem? And if so, how do I solve this problem? Thanks, Elise 


The number of clusters is the number of independent observations in your data set. The warning is telling you that you have more parameters than you have independent observations. The impact of this on the results has not been studied. This is simply a warning. 


Hi, I am running a path model with three latent "predictors", a single outcome, and 4 covariates (age, gender, two dummy codes for ethnicity). When I run the path model without any of the covariates, my model converges and achieves adequate fit. However, when I include paths from each of the 4 covariates to the outcome variable, I recieve the following error messages: THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.316D18. PROBLEM INVOLVING PARAMETER 52. WARNING: THE LATENT VARIABLE COVARIANCE MATRIX (PSI) IS NOT POSITIVE DEFINITE. THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL VARIANCE FOR A LATENT VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE BETWEEN TWO LATENT VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO LATENT VARIABLES. CHECK THE TECH4 OUTPUT FOR MORE INFORMATION. PROBLEM INVOLVING VARIABLE PGENDER. There are no negative residual variances, correlations greater than 1, etc. Also, with parameter 52, this is a covariance between PGENDER and PAGE, and I cannot find a problem in the data. Can you make any recommendations about how to proceed? Thanks! 


Please send your output and license number to support@statmodel.com. 

EFried posted on Friday, May 11, 2012  4:47 am



I am facing the same problem, in a GMM with 5 measurement points, trying to run a model with 3 classes. THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.937D11. PROBLEM INVOLVING PARAMETER 19. TECH1 output looks normal, as does TECH4 (no PSI problems). The solution that MPLUS finds is implausible for this model, so I would need to explore what causes these issues. Thank you 


Please send the output and your license number to support@statmodel.com. 

Susan Pe posted on Tuesday, August 28, 2012  4:58 pm



Hi I am doing 2level, different time points nested within individuals. I have 3 items. My Mplus commands include cluster = firmid; within = time; Analysis: Type = twolevel; Model: %within% RD by exp newcar oldcar; If I run CFA with 2 items, I get: THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX If I run CFA with 3 items, I get: THE MODEL ESTIMATION DID NOT TERMINATE NORMALLY DUE TO AN ILLCONDITIONED FISHER INFORMATION MATRIX. CHANGE YOUR MODEL AND/OR STARTING VALUES. THE MODEL ESTIMATION DID NOT TERMINATE NORMALLY DUE TO A NONPOSITIVE DEFINITE FISHER INFORMATION MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.562D10. THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES COULD NOT BE COMPUTED. THIS IS OFTEN DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. CHANGE YOUR MODEL AND/OR STARTING VALUES. PROBLEM INVOLVING PARAMETER 5. What is the problem? Thank you. 


A factor with two indicators is not identified. Please send the output and your license number to support@statmodel.com. 


I have a similar problem. I have received the error: THE MODEL ESTIMATION TERMINATED NORMALLY THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.148D09. PROBLEM INVOLVING PARAMETER 149. I’m running a multigroup model and this is the free model. This error did not occur for the constrained model. I believe this parameter is the disturbance covariance for two of the outcome variables. Would you please tell me how this affects my results? Thank you very much! 


Please send the output and your license number to support@statmodel.com. 


I'm running a basic regression model with an interaction. I'm also using auxiliary variables. I received the following error message when I tried to probe the interaction. THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.227D10. PROBLEM INVOLVING PARAMETER 13. THIS IS MOST LIKELY DUE TO VARIABLE M11WORKR BEING DICHOTOMOUS BUT DECLARED AS CONTINUOUS. Parameter 13 is the variance of my interaction term. M11WORKR is one of my auxiliary variables. I have it listed using the command auxiliary = (m). It is dichotomous, but I'm not sure where in my syntax it is declared as continuous. 


Variables on the AUXILIARY list are treated as continuous variables. If a variable on this list is binary, it can prompt the message above because the mean and variance of a binary variable are not orthogonal. If this is the cause of the message, you can ignore it. All variables are assumed to be continous unless they are put on a list like CATEGORICAL, CENSORED, COUNT etc. 


Hello, I'm trying to conduct an LPA with four indicators. I have received the error: THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.102D15. PROBLEM INVOLVING PARAMETER 1. I have checked parameter 1  it's on the NU matrix, but I'm not sure what this means. Can you please help? Thanks, Danyel 


Please send the output and your license number to support@statmodel.com. 


Hello, I'm running into a similar issue. When running a fairly simple path analytic model, I get this message: THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS0.202D19.PROBLEM INVOLVING PARAMETER 99. Parameter 99 is the variance of one of the variables in the model,and is rather large (as it should be). The model still runs, and standard errors are still estimated. Is this message ignorable? If not do you have suggestions for how to handle this issue? Thanks! Jami 


Please send the output and your license number to support@statmodel.com. 


Hello, I encountered a NPD matrix recently while fitting a structural model with composite variables. The offending factor had a small negative residual variance. I addressed the problem, on the advice of a colleague, with this syntax: factor@.00001; which eliminated the NDP, and appeared to have little or no effect on the fit of the model. Looking through the user's manual, I can't figure out what exactly this syntax means, why it seems to serve this function, and whether it is appropriate. If it is not appropriate, can you suggest another means of addressing small negative residual variances? Many thanks! 


You are fixing the residual variance of factor to .00001. If a residual variance is estimated at a small negative nonsignificant value, many fix it to zero. 


Hello, I'm running a multigroup model with dummy variables as predictors. One of my groups is very small (n= 14). I received this error. Does this mean by results are not valid and I cannot perform a multigroup tests? Thank you, Danyel THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.128D17. PROBLEM INVOLVING PARAMETER 24. THIS IS MOST LIKELY DUE TO HAVING MORE PARAMETERS THAN THE SAMPLE SIZE IN ONE OF THE GROUPS. 


A sample size of 14 is too small for multiple group analysis. 


Thank you very much. Danyel 


Hi, I am having a similar problem as many of the previous posters in terms of the following error messages: THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.149D17. PROBLEM INVOLVING PARAMETER 54. THE NONIDENTIFICATION IS MOST LIKELY DUE TO HAVING MORE PARAMETERS THAN THE NUMBER OF CLUSTERS. REDUCE THE NUMBER OF PARAMETERS." I have checked the parameter and still can't make sense of the error message. Thanks. 


You most likely have more parameters than clusters. Check that. This warning is reminding you that independence of observations is at the cluster level. The effect of having more parameters than clusters may have an effect on the results. 


Thank you for the reply. I do have about 63 parameters and 52 clusters. Does this affect only the parameter estimates (due to standard errors) or does this influence the chi squared tests and fit indices as well? I recall my mplus instructor suggesting that one may use Bayes to get more accurate parameter estimates. In the case that I cannot get more clusters, is it acceptable to report the chisquared results and fit indices from the ML solution and the parameter estimates from the Bayes solution? Thanks! 


This would effect that standard errors and fit statistics. The only way to know how much would be to do a Monte Carlo simulation study based on your analysis. I don't think Bayes would make any difference. You should report only results from one estimator. 


Thank you. I ran the Bayes estimator but I did not get any error messages. The parameter estimates are similar to those obtained from the ML solution. 


Bayes estimation does not do this particular kind of check; it is MLoriented. This doesn't mean that the Bayes solution is free of the potential problem listed in the ML run. 


Thank you. It seems like my options are to increase the number of clusters in my data or reduce the number of parameters estimated (difficult in this case because of the theoretical model of interest). 


Or, you can do a little simulation in Mplus to check if you don't need to worry (that may very well be true). This would be a suitable topic for a methods grad student to work on. 


How does Mplus check if a given matrix (in this case the Psi matrix) is positive definite? While running a simulation designed to test for model identification (using Bayes estimation) I ran into the following note from Mplus about 200 times: THE MODEL ESTIMATION DID NOT TERMINATE NORMALLY. THE POSTERIOR COVARIANCE MATRIX FOR PSI IS NOT POSITIVE DEFINITE, AS IT SHOULD BE. THE PROBLEM OCCURRED IN CHAIN 1. For each of the 200, I extracted the most recent update of values corresponding to the PSI matrix of the respective chain (either chain 1 or 2). Then I performed a series of tests: First: All Psi matrices were full rank, and none contained negative variances on the the diagonal. 50 contained negative eigen values. Many of the remaining 150 contained small eigen values (e.g. .000000001), so I imagine Mplus (given double precision) rounds this to 0 and assumes an eigen value equal to 0. BUT in some of those 150, the smallest eigen value was positive and (somewhat) large. For example, one replication had the smallest eigen value of .003. Furthermore, the determinants of the remaining 150 replications were also positive. Therefore, I am wondering how Mplus determines if a given matrix is positive definite. Would it round an eigen value of .003 to 0? Any help is greatly appreciated. Jon 


We consider a matrix to be not positive definite if when we attempt to invert it a pivot (something we need to divide by) is less than 10^10. To avoid these problems you can add a weakly informative prior for the psi matrix. That is an inverse wishart prior IW(I,p+1) see Section 10.2 http://www.statmodel2.com/download/BayesAdvantages18.pdf Also in order for you to get this kind of precision you need to get the trace parameters with 16 significant digits which I don't think you can do. 

Nara Jang posted on Monday, June 23, 2014  3:27 pm



Dear Dr. Muthen, I ran the Latent interaction to see if there is moderating effects, resulting in no significant moderating effects. And there was warning. I tried to delete or make correlation with other indicators and then the other parameters were problematic. THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.902D18. PROBLEM INVOLVING PARAMETER 27. I used FIML imputation and ran it, resulting in significant moderating effects and no such a warning. The reason of FIML imputation was the moderator indicators has lots of missing data. Would you answer following questions. (1) Would you explain to me why a warning of nonpositive derivative matrix appeared. (2) If there is a solution, would you tell me? (3) Would you tell me which one I should report either the result without imputation or the result with FIML imputation? If there is no problem with FIML imputation. (4) If the missing values are large, the moderating effects are not trustworthy? (5) If so, would you tell me the criteria of percentage of missing values in the dataset. Thank you so much for your valuable time and advice! Best regards, Nara Jang 


If you can do FIML without imputation, I think that is preferable. So you want to understand why you get the warning you show here. You can send your output, data, and license number to Support. But if you want, you can also send the imputation run. 

Nara Jang posted on Friday, July 04, 2014  6:16 pm



Dear Dr. Muthen, In my previous result, I did not use categorical options. After adding categorical variables, a warning shows as follows. Would you give me your expert advice, please? THE ESTIMATED COVARIANCE MATRIX COULD NOT BE INVERTED. COMPUTATION COULD NOT BE COMPLETED IN ITERATION 7. CHANGE YOUR MODEL AND/OR STARTING VALUES. I really appreciate for your great help! 


Please send your output and license number to support@statmodel.com. 


Hello Drs. Muthen, When running a twolevel model with random slopes, I have received the following error on my output: THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NONPOSITIVE DEFINITE FIRSTORDER DERIVATIVE PRODUCT MATRIX. THIS MAY BE DUE TO THE STARTING VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION. THE CONDITION NUMBER IS 0.778D10. PROBLEM INVOLVING THE FOLLOWING PARAMETER: Parameter 13, %BETWEEN%: S2 ON GXRQ Parameter 13 is an interaction term between a binary and continuous variable. This error seems similar to Danielle Roubinov's issue posted on February 1, 2013. Unlike that situation, however, I have not specified any auxiliary variables. How might I know whether or not this warning can be ignored? Many thanks in advance for your help. 


We would have to see the output. 

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