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Estimates the parameters of a model created using the slca function.

Usage

estimate(x, ...)

# S3 method for class 'slca'
estimate(x,
   data,
   method = c("em", "hybrid", "nlm"),
   fix2zero = NULL,
   control = slcaControl(), ...)

Arguments

x

an slca object defining the slca model to be estimated.

...

additional arguments passed to the estimation process.

data

a data.frame containing the observed categorical variables included in the model.

method

a character string specifying the estimation method for SLCM parameters. The default is "em", which uses the expectation-maximization (EM) algorithm. The alternative "nlm" employs the Newton-Raphson algorithm via the nlm function, while "hybrid" combines both approaches, starting with EM and finishing with nlm for refined estimates.

fix2zero

a vector specifying parameters to be constrained to zero. When re-estimating a fitted object, an omitted argument retains its existing constraints; explicitly supplying NULL removes the constraint specification. See the 'Details' section for further information.

control

a list of control parameters for the estimation procedure. Modify default values using slcaControl().

Value

An object of class slcafit containing the following components:

model

a list describing of the model structure.

method

the estimation method used.

arg

a brief description of the model used during estimation.

mf

the data.frame used for estimation.

par

the log of the estimated paramters.

logit

the log-odds of the estimated parameters.

score

the score function for the estimated parameters.

posterior

a list of posterior probablities for each latent class variable.

convergence

a named logical vector indicating whether convergence was achieved for the EM and nlm steps. Steps not used by the selected method are returned as NA.

loglikelihood

the loglikelihood value of the estimated model.

control

the control settings used during the estimation process.

The returned object can be further processed using the param function to extract the estimated parameters or their standard errors. The regress function allows for logistic regression analysis using a three-step approach to evaluate the effects of external variables on latent class variables. Additionally, several other methods are available, including predict.slcafit, reorder.slcafit, gof, and others.

Details

The fix2zero argument allows you to constrain specific parameters to zero. Each parameter is associated with a unique index, which can be identified using the param function with the argument index = TRUE. To apply constraints, provide the relevant parameter indices in the fix2zero arguments with vector.

Manifest responses are categorical; continuous-response models are not supported. Corresponding indicators under equality constraints must have identical factor levels, including labels and order. For categories absent from a sample, declare the full levels explicitly, for example factor(x, levels = 1:3), consistently across constrained indicators.

Examples

m <- slca(lc[3] ~ y1 + y2 + y3 + y4)
pi <- rep(1 / 3, 3)
rho <- c(.9, .1, .9, .1, .9, .1, .9, .1, # class 1
         .9, .1, .9, .1, .1, .9, .1, .9, # class 2
         .1, .9, .1, .9, .1, .9, .1, .9) # class 3
dt <- simulate(m, 200, parm = c(pi, rho))
estimate(m, dt$response)
#> Structural Latent Variable Model
#> 
#> Latent variables (Root*):           
#>  Label: lc*
#> nclass: 3  
#> 
#> Measurement model:                            
#>  lc -> { y1, y2, y3, y4 }  a
#> 
#> LogLik: -418.9054

# Several estimation methods
estimate(m, dt$response, method = "em",
         control = slcaControl(verbose = TRUE)) # default
#> EM iteration begin.
#> 1 iterations  logLik: -554.54  diff: inf      
2 iterations  logLik: -533.79  diff: 20.74630      
3 iterations  logLik: -530.51  diff: 3.28618      
4 iterations  logLik: -515.22  diff: 15.28819      
5 iterations  logLik: -475.98  diff: 39.23392      
6 iterations  logLik: -446.04  diff: 29.94218      
7 iterations  logLik: -436.56  diff: 9.48504      
8 iterations  logLik: -429.55  diff: 7.00494      
9 iterations  logLik: -423.13  diff: 6.41722      
10 iterations  logLik: -419.85  diff: 3.27974      
11 iterations  logLik: -419.09  diff: 0.76023      
12 iterations  logLik: -419.00  diff: 0.09750      
13 iterations  logLik: -418.99  diff: 0.01031      
14 iterations  logLik: -418.99  diff: 0.00156      
15 iterations  logLik: -418.98  diff: 0.00070      
16 iterations  logLik: -418.98  diff: 0.00063      
17 iterations  logLik: -418.98  diff: 0.00064      
18 iterations  logLik: -418.98  diff: 0.00066      
19 iterations  logLik: -418.98  diff: 0.00068      
20 iterations  logLik: -418.98  diff: 0.00070      
21 iterations  logLik: -418.98  diff: 0.00072      
22 iterations  logLik: -418.98  diff: 0.00074      
23 iterations  logLik: -418.98  diff: 0.00076      
24 iterations  logLik: -418.98  diff: 0.00078      
25 iterations  logLik: -418.98  diff: 0.00081      
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27 iterations  logLik: -418.98  diff: 0.00086      
28 iterations  logLik: -418.97  diff: 0.00088      
29 iterations  logLik: -418.97  diff: 0.00091      
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31 iterations  logLik: -418.97  diff: 0.00096      
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33 iterations  logLik: -418.97  diff: 0.00101      
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696 iterations  logLik: -418.80  diff: 9.3e-08      
697 iterations  logLik: -418.80  diff: 9.1e-08      
698 iterations  logLik: -418.80  diff: 9.0e-08      
699 iterations  logLik: -418.80  diff: 8.9e-08      
700 iterations  logLik: -418.80  diff: 8.7e-08      
701 iterations  logLik: -418.80  diff: 8.6e-08      
702 iterations  logLik: -418.80  diff: 8.5e-08      
703 iterations  logLik: -418.80  diff: 8.4e-08      
704 iterations  logLik: -418.80  diff: 8.3e-08      
705 iterations  logLik: -418.80  diff: 8.2e-08      
706 iterations  logLik: -418.80  diff: 8.0e-08      
707 iterations  logLik: -418.80  diff: 7.9e-08      
708 iterations  logLik: -418.80  diff: 7.8e-08      
709 iterations  logLik: -418.80  diff: 7.7e-08      
710 iterations  logLik: -418.80  diff: 7.6e-08      
711 iterations  logLik: -418.80  diff: 7.5e-08      
712 iterations  logLik: -418.80  diff: 7.4e-08      
713 iterations  logLik: -418.80  diff: 7.3e-08      
714 iterations  logLik: -418.80  diff: 7.2e-08      
715 iterations  logLik: -418.80  diff: 7.1e-08      
716 iterations  logLik: -418.80  diff: 7.0e-08      
717 iterations  logLik: -418.80  diff: 6.9e-08      
718 iterations  logLik: -418.80  diff: 6.8e-08      
719 iterations  logLik: -418.80  diff: 6.7e-08      
720 iterations  logLik: -418.80  diff: 6.6e-08      
721 iterations  logLik: -418.80  diff: 6.5e-08      
722 iterations  logLik: -418.80  diff: 6.4e-08      
723 iterations  logLik: -418.80  diff: 6.3e-08      
724 iterations  logLik: -418.80  diff: 6.2e-08      
725 iterations  logLik: -418.80  diff: 6.2e-08      
726 iterations  logLik: -418.80  diff: 6.1e-08      
727 iterations  logLik: -418.80  diff: 6.0e-08      
728 iterations  logLik: -418.80  diff: 5.9e-08      
729 iterations  logLik: -418.80  diff: 5.8e-08      
730 iterations  logLik: -418.80  diff: 5.7e-08      
731 iterations  logLik: -418.80  diff: 5.7e-08      
732 iterations  logLik: -418.80  diff: 5.6e-08      
733 iterations  logLik: -418.80  diff: 5.5e-08      
734 iterations  logLik: -418.80  diff: 5.4e-08      
735 iterations  logLik: -418.80  diff: 5.3e-08      
736 iterations  logLik: -418.80  diff: 5.3e-08      
737 iterations  logLik: -418.80  diff: 5.2e-08      
738 iterations  logLik: -418.80  diff: 5.1e-08      
739 iterations  logLik: -418.80  diff: 5.0e-08      
740 iterations  logLik: -418.80  diff: 5.0e-08      
741 iterations  logLik: -418.80  diff: 4.9e-08      
742 iterations  logLik: -418.80  diff: 4.8e-08      
743 iterations  logLik: -418.80  diff: 4.8e-08      
744 iterations  logLik: -418.80  diff: 4.7e-08      
745 iterations  logLik: -418.80  diff: 4.6e-08      
746 iterations  logLik: -418.80  diff: 4.6e-08      
747 iterations  logLik: -418.80  diff: 4.5e-08      
748 iterations  logLik: -418.80  diff: 4.4e-08      
749 iterations  logLik: -418.80  diff: 4.4e-08      
750 iterations  logLik: -418.80  diff: 4.3e-08      
751 iterations  logLik: -418.80  diff: 4.3e-08      
752 iterations  logLik: -418.80  diff: 4.2e-08      
753 iterations  logLik: -418.80  diff: 4.1e-08      
754 iterations  logLik: -418.80  diff: 4.1e-08      
755 iterations  logLik: -418.80  diff: 4.0e-08      
756 iterations  logLik: -418.80  diff: 4.0e-08      
757 iterations  logLik: -418.80  diff: 3.9e-08      
758 iterations  logLik: -418.80  diff: 3.9e-08      
759 iterations  logLik: -418.80  diff: 3.8e-08      
760 iterations  logLik: -418.80  diff: 3.7e-08      
761 iterations  logLik: -418.80  diff: 3.7e-08      
762 iterations  logLik: -418.80  diff: 3.6e-08      
763 iterations  logLik: -418.80  diff: 3.6e-08      
764 iterations  logLik: -418.80  diff: 3.5e-08      
765 iterations  logLik: -418.80  diff: 3.5e-08      
766 iterations  logLik: -418.80  diff: 3.4e-08      
767 iterations  logLik: -418.80  diff: 3.4e-08      
768 iterations  logLik: -418.80  diff: 3.3e-08      
769 iterations  logLik: -418.80  diff: 3.3e-08      
770 iterations  logLik: -418.80  diff: 3.3e-08      
771 iterations  logLik: -418.80  diff: 3.2e-08      
772 iterations  logLik: -418.80  diff: 3.2e-08      
773 iterations  logLik: -418.80  diff: 3.1e-08      
774 iterations  logLik: -418.80  diff: 3.1e-08      
775 iterations  logLik: -418.80  diff: 3.0e-08      
776 iterations  logLik: -418.80  diff: 3.0e-08      
777 iterations  logLik: -418.80  diff: 2.9e-08      
778 iterations  logLik: -418.80  diff: 2.9e-08      
779 iterations  logLik: -418.80  diff: 2.9e-08      
780 iterations  logLik: -418.80  diff: 2.8e-08      
781 iterations  logLik: -418.80  diff: 2.8e-08      
782 iterations  logLik: -418.80  diff: 2.7e-08      
783 iterations  logLik: -418.80  diff: 2.7e-08      
784 iterations  logLik: -418.80  diff: 2.7e-08      
785 iterations  logLik: -418.80  diff: 2.6e-08      
786 iterations  logLik: -418.80  diff: 2.6e-08      
787 iterations  logLik: -418.80  diff: 2.6e-08      
788 iterations  logLik: -418.80  diff: 2.5e-08      
789 iterations  logLik: -418.80  diff: 2.5e-08      
790 iterations  logLik: -418.80  diff: 2.4e-08      
791 iterations  logLik: -418.80  diff: 2.4e-08      
792 iterations  logLik: -418.80  diff: 2.4e-08      
793 iterations  logLik: -418.80  diff: 2.3e-08      
794 iterations  logLik: -418.80  diff: 2.3e-08      
795 iterations  logLik: -418.80  diff: 2.3e-08      
796 iterations  logLik: -418.80  diff: 2.2e-08      
797 iterations  logLik: -418.80  diff: 2.2e-08      
798 iterations  logLik: -418.80  diff: 2.2e-08      
799 iterations  logLik: -418.80  diff: 2.2e-08      
800 iterations  logLik: -418.80  diff: 2.1e-08      
801 iterations  logLik: -418.80  diff: 2.1e-08      
802 iterations  logLik: -418.80  diff: 2.1e-08      
803 iterations  logLik: -418.80  diff: 2.0e-08      
804 iterations  logLik: -418.80  diff: 2.0e-08      
805 iterations  logLik: -418.80  diff: 2.0e-08      
806 iterations  logLik: -418.80  diff: 1.9e-08      
807 iterations  logLik: -418.80  diff: 1.9e-08      
808 iterations  logLik: -418.80  diff: 1.9e-08      
809 iterations  logLik: -418.80  diff: 1.9e-08      
810 iterations  logLik: -418.80  diff: 1.8e-08      
811 iterations  logLik: -418.80  diff: 1.8e-08      
812 iterations  logLik: -418.80  diff: 1.8e-08      
813 iterations  logLik: -418.80  diff: 1.8e-08      
814 iterations  logLik: -418.80  diff: 1.7e-08      
815 iterations  logLik: -418.80  diff: 1.7e-08      
816 iterations  logLik: -418.80  diff: 1.7e-08      
817 iterations  logLik: -418.80  diff: 1.7e-08      
818 iterations  logLik: -418.80  diff: 1.6e-08      
819 iterations  logLik: -418.80  diff: 1.6e-08      
820 iterations  logLik: -418.80  diff: 1.6e-08      
821 iterations  logLik: -418.80  diff: 1.6e-08      
822 iterations  logLik: -418.80  diff: 1.6e-08      
823 iterations  logLik: -418.80  diff: 1.5e-08      
824 iterations  logLik: -418.80  diff: 1.5e-08      
825 iterations  logLik: -418.80  diff: 1.5e-08      
826 iterations  logLik: -418.80  diff: 1.5e-08      
827 iterations  logLik: -418.80  diff: 1.4e-08      
828 iterations  logLik: -418.80  diff: 1.4e-08      
829 iterations  logLik: -418.80  diff: 1.4e-08      
830 iterations  logLik: -418.80  diff: 1.4e-08      
831 iterations  logLik: -418.80  diff: 1.4e-08      
832 iterations  logLik: -418.80  diff: 1.3e-08      
833 iterations  logLik: -418.80  diff: 1.3e-08      
834 iterations  logLik: -418.80  diff: 1.3e-08      
835 iterations  logLik: -418.80  diff: 1.3e-08      
836 iterations  logLik: -418.80  diff: 1.3e-08      
837 iterations  logLik: -418.80  diff: 1.3e-08      
838 iterations  logLik: -418.80  diff: 1.2e-08      
839 iterations  logLik: -418.80  diff: 1.2e-08      
840 iterations  logLik: -418.80  diff: 1.2e-08      
841 iterations  logLik: -418.80  diff: 1.2e-08      
842 iterations  logLik: -418.80  diff: 1.2e-08      
843 iterations  logLik: -418.80  diff: 1.1e-08      
844 iterations  logLik: -418.80  diff: 1.1e-08      
845 iterations  logLik: -418.80  diff: 1.1e-08      
846 iterations  logLik: -418.80  diff: 1.1e-08      
847 iterations  logLik: -418.80  diff: 1.1e-08      
848 iterations  logLik: -418.80  diff: 1.1e-08      
849 iterations  logLik: -418.80  diff: 1.1e-08      
850 iterations  logLik: -418.80  diff: 1.0e-08      
851 iterations  logLik: -418.80  diff: 1.0e-08      
852 iterations  logLik: -418.80  diff: 1.0e-08      
853 iterations  logLik: -418.80  diff: 9.9e-09      

#> .. done.
#> Structural Latent Variable Model
#> 
#> Latent variables (Root*):           
#>  Label: lc*
#> nclass: 3  
#> 
#> Measurement model:                            
#>  lc -> { y1, y2, y3, y4 }  a
#> 
#> LogLik: -418.7988
estimate(m, dt$response, method = "nlm",
         control = slcaControl(verbose = TRUE))
#> nlm iteration begin.
#> .. done.
#> Structural Latent Variable Model
#> 
#> Latent variables (Root*):           
#>  Label: lc*
#> nclass: 3  
#> 
#> Measurement model:                            
#>  lc -> { y1, y2, y3, y4 }  a
#> 
#> LogLik: -418.7988
estimate(m, dt$response, method = "hybrid",
         control = slcaControl(verbose = TRUE))
#> EM iteration begin.
#> 1 iterations  logLik: -554.54  diff: inf      
2 iterations  logLik: -534.38  diff: 20.16155      
3 iterations  logLik: -533.72  diff: 0.65777      
4 iterations  logLik: -530.13  diff: 3.59115      
5 iterations  logLik: -513.55  diff: 16.58633      
6 iterations  logLik: -473.07  diff: 40.47730      
7 iterations  logLik: -445.36  diff: 27.71048      
8 iterations  logLik: -436.43  diff: 8.93181      
9 iterations  logLik: -428.50  diff: 7.92164      
10 iterations  logLik: -422.17  diff: 6.33631      
11 iterations  logLik: -419.56  diff: 2.60347      
12 iterations  logLik: -419.04  diff: 0.52411      
13 iterations  logLik: -418.98  diff: 0.06414      
14 iterations  logLik: -418.97  diff: 0.00653      
15 iterations  logLik: -418.97  diff: 0.00091      
16 iterations  logLik: -418.97  diff: 0.00041      
17 iterations  logLik: -418.97  diff: 0.00036      
18 iterations  logLik: -418.97  diff: 0.00036      
19 iterations  logLik: -418.97  diff: 0.00036      
20 iterations  logLik: -418.97  diff: 0.00036      
21 iterations  logLik: -418.97  diff: 0.00035      
22 iterations  logLik: -418.97  diff: 0.00035      
23 iterations  logLik: -418.97  diff: 0.00035      
24 iterations  logLik: -418.97  diff: 0.00035      
25 iterations  logLik: -418.97  diff: 0.00035      
26 iterations  logLik: -418.97  diff: 0.00035      
27 iterations  logLik: -418.96  diff: 0.00035      
28 iterations  logLik: -418.96  diff: 0.00035      
29 iterations  logLik: -418.96  diff: 0.00034      
30 iterations  logLik: -418.96  diff: 0.00034      
31 iterations  logLik: -418.96  diff: 0.00034      
32 iterations  logLik: -418.96  diff: 0.00034      
33 iterations  logLik: -418.96  diff: 0.00034      
34 iterations  logLik: -418.96  diff: 0.00033      
35 iterations  logLik: -418.96  diff: 0.00033      
36 iterations  logLik: -418.96  diff: 0.00033      
37 iterations  logLik: -418.96  diff: 0.00033      
38 iterations  logLik: -418.96  diff: 0.00032      
39 iterations  logLik: -418.96  diff: 0.00032      
40 iterations  logLik: -418.96  diff: 0.00032      
41 iterations  logLik: -418.96  diff: 0.00032      
42 iterations  logLik: -418.96  diff: 0.00031      
43 iterations  logLik: -418.96  diff: 0.00031      
44 iterations  logLik: -418.96  diff: 0.00031      
45 iterations  logLik: -418.96  diff: 0.00031      
46 iterations  logLik: -418.96  diff: 0.00030      
47 iterations  logLik: -418.96  diff: 0.00030      
48 iterations  logLik: -418.96  diff: 0.00030      
49 iterations  logLik: -418.96  diff: 0.00029      
50 iterations  logLik: -418.96  diff: 0.00029      
51 iterations  logLik: -418.96  diff: 0.00029      
52 iterations  logLik: -418.96  diff: 0.00028      
53 iterations  logLik: -418.96  diff: 0.00028      
54 iterations  logLik: -418.96  diff: 0.00028      
55 iterations  logLik: -418.96  diff: 0.00027      
56 iterations  logLik: -418.96  diff: 0.00027      
57 iterations  logLik: -418.96  diff: 0.00027      
58 iterations  logLik: -418.96  diff: 0.00026      
59 iterations  logLik: -418.95  diff: 0.00026      
60 iterations  logLik: -418.95  diff: 0.00026      
61 iterations  logLik: -418.95  diff: 0.00025      
62 iterations  logLik: -418.95  diff: 0.00025      
63 iterations  logLik: -418.95  diff: 0.00025      
64 iterations  logLik: -418.95  diff: 0.00024      
65 iterations  logLik: -418.95  diff: 0.00024      
66 iterations  logLik: -418.95  diff: 0.00024      
67 iterations  logLik: -418.95  diff: 0.00023      
68 iterations  logLik: -418.95  diff: 0.00023      
69 iterations  logLik: -418.95  diff: 0.00023      
70 iterations  logLik: -418.95  diff: 0.00022      
71 iterations  logLik: -418.95  diff: 0.00022      
72 iterations  logLik: -418.95  diff: 0.00022      
73 iterations  logLik: -418.95  diff: 0.00021      
74 iterations  logLik: -418.95  diff: 0.00021      
75 iterations  logLik: -418.95  diff: 0.00021      
76 iterations  logLik: -418.95  diff: 0.00020      
77 iterations  logLik: -418.95  diff: 0.00020      
78 iterations  logLik: -418.95  diff: 0.00020      
79 iterations  logLik: -418.95  diff: 0.00019      
80 iterations  logLik: -418.95  diff: 0.00019      
81 iterations  logLik: -418.95  diff: 0.00019      
82 iterations  logLik: -418.95  diff: 0.00018      
83 iterations  logLik: -418.95  diff: 0.00018      
84 iterations  logLik: -418.95  diff: 0.00018      
85 iterations  logLik: -418.95  diff: 0.00018      
86 iterations  logLik: -418.95  diff: 0.00017      
87 iterations  logLik: -418.95  diff: 0.00017      
88 iterations  logLik: -418.95  diff: 0.00017      
89 iterations  logLik: -418.95  diff: 0.00016      
90 iterations  logLik: -418.95  diff: 0.00016      
91 iterations  logLik: -418.95  diff: 0.00016      
92 iterations  logLik: -418.95  diff: 0.00016      
93 iterations  logLik: -418.95  diff: 0.00015      
94 iterations  logLik: -418.95  diff: 0.00015      
95 iterations  logLik: -418.95  diff: 0.00015      
96 iterations  logLik: -418.95  diff: 0.00014      
97 iterations  logLik: -418.95  diff: 0.00014      
98 iterations  logLik: -418.95  diff: 0.00014      
99 iterations  logLik: -418.95  diff: 0.00014      
100 iterations  logLik: -418.95  diff: 0.00014      
101 iterations  logLik: -418.95  diff: 0.00013      
102 iterations  logLik: -418.95  diff: 0.00013      
103 iterations  logLik: -418.95  diff: 0.00013      
104 iterations  logLik: -418.95  diff: 0.00013      
105 iterations  logLik: -418.95  diff: 0.00012      
106 iterations  logLik: -418.95  diff: 0.00012      
107 iterations  logLik: -418.95  diff: 0.00012      
108 iterations  logLik: -418.95  diff: 0.00012      
109 iterations  logLik: -418.95  diff: 0.00011      
110 iterations  logLik: -418.95  diff: 0.00011      
111 iterations  logLik: -418.95  diff: 0.00011      
112 iterations  logLik: -418.95  diff: 0.00011      
113 iterations  logLik: -418.95  diff: 0.00011      
114 iterations  logLik: -418.95  diff: 0.00010      
115 iterations  logLik: -418.95  diff: 0.00010      
116 iterations  logLik: -418.95  diff: 0.00010      
117 iterations  logLik: -418.95  diff: 0.00010      
118 iterations  logLik: -418.94  diff: 0.00010      
119 iterations  logLik: -418.94  diff: 0.00010      
120 iterations  logLik: -418.94  diff: 0.00009      
121 iterations  logLik: -418.94  diff: 0.00009      
122 iterations  logLik: -418.94  diff: 0.00009      
123 iterations  logLik: -418.94  diff: 0.00009      
124 iterations  logLik: -418.94  diff: 0.00009      
125 iterations  logLik: -418.94  diff: 0.00009      
126 iterations  logLik: -418.94  diff: 0.00008      
127 iterations  logLik: -418.94  diff: 0.00008      
128 iterations  logLik: -418.94  diff: 0.00008      
129 iterations  logLik: -418.94  diff: 0.00008      
130 iterations  logLik: -418.94  diff: 0.00008      
131 iterations  logLik: -418.94  diff: 0.00008      
132 iterations  logLik: -418.94  diff: 0.00008      
133 iterations  logLik: -418.94  diff: 0.00008      
134 iterations  logLik: -418.94  diff: 0.00007      
135 iterations  logLik: -418.94  diff: 0.00007      
136 iterations  logLik: -418.94  diff: 0.00007      
137 iterations  logLik: -418.94  diff: 0.00007      
138 iterations  logLik: -418.94  diff: 0.00007      
139 iterations  logLik: -418.94  diff: 0.00007      
140 iterations  logLik: -418.94  diff: 0.00007      
141 iterations  logLik: -418.94  diff: 0.00007      
142 iterations  logLik: -418.94  diff: 0.00007      
143 iterations  logLik: -418.94  diff: 0.00006      
144 iterations  logLik: -418.94  diff: 0.00006      
145 iterations  logLik: -418.94  diff: 0.00006      
146 iterations  logLik: -418.94  diff: 0.00006      
147 iterations  logLik: -418.94  diff: 0.00006      
148 iterations  logLik: -418.94  diff: 0.00006      
149 iterations  logLik: -418.94  diff: 0.00006      
150 iterations  logLik: -418.94  diff: 0.00006      
151 iterations  logLik: -418.94  diff: 0.00006      
152 iterations  logLik: -418.94  diff: 0.00006      
153 iterations  logLik: -418.94  diff: 0.00006      
154 iterations  logLik: -418.94  diff: 0.00005      
155 iterations  logLik: -418.94  diff: 0.00005      
156 iterations  logLik: -418.94  diff: 0.00005      
157 iterations  logLik: -418.94  diff: 0.00005      
158 iterations  logLik: -418.94  diff: 0.00005      
159 iterations  logLik: -418.94  diff: 0.00005      
160 iterations  logLik: -418.94  diff: 0.00005      
161 iterations  logLik: -418.94  diff: 0.00005      
162 iterations  logLik: -418.94  diff: 0.00005      
163 iterations  logLik: -418.94  diff: 0.00005      
164 iterations  logLik: -418.94  diff: 0.00005      
165 iterations  logLik: -418.94  diff: 0.00005      
166 iterations  logLik: -418.94  diff: 0.00005      
167 iterations  logLik: -418.94  diff: 0.00005      
168 iterations  logLik: -418.94  diff: 0.00005      
169 iterations  logLik: -418.94  diff: 0.00005      
170 iterations  logLik: -418.94  diff: 0.00005      
171 iterations  logLik: -418.94  diff: 0.00005      
172 iterations  logLik: -418.94  diff: 0.00004      
173 iterations  logLik: -418.94  diff: 0.00004      
174 iterations  logLik: -418.94  diff: 0.00004      
175 iterations  logLik: -418.94  diff: 0.00004      
176 iterations  logLik: -418.94  diff: 0.00004      
177 iterations  logLik: -418.94  diff: 0.00004      
178 iterations  logLik: -418.94  diff: 0.00004      
179 iterations  logLik: -418.94  diff: 0.00004      
180 iterations  logLik: -418.94  diff: 0.00004      
181 iterations  logLik: -418.94  diff: 0.00004      
182 iterations  logLik: -418.94  diff: 0.00004      
183 iterations  logLik: -418.94  diff: 0.00004      
184 iterations  logLik: -418.94  diff: 0.00004      
185 iterations  logLik: -418.94  diff: 0.00004      
186 iterations  logLik: -418.94  diff: 0.00004      
187 iterations  logLik: -418.94  diff: 0.00004      
188 iterations  logLik: -418.94  diff: 0.00004      
189 iterations  logLik: -418.94  diff: 0.00004      
190 iterations  logLik: -418.94  diff: 0.00004      
191 iterations  logLik: -418.94  diff: 0.00004      
192 iterations  logLik: -418.94  diff: 0.00004      
193 iterations  logLik: -418.94  diff: 0.00004      
194 iterations  logLik: -418.94  diff: 0.00004      
195 iterations  logLik: -418.94  diff: 0.00004      
196 iterations  logLik: -418.94  diff: 0.00004      
197 iterations  logLik: -418.94  diff: 0.00004      
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999 iterations  logLik: -418.91  diff: 1.7e-06      
1000 iterations  logLik: -418.91  diff: 1.7e-06      

#> 1001 iterations  logLik: -418.91  diff: 1.7e-06      
1002 iterations  logLik: -418.91  diff: 1.6e-06      
1003 iterations  logLik: -418.91  diff: 1.6e-06      
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1007 iterations  logLik: -418.91  diff: 1.6e-06      
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1009 iterations  logLik: -418.91  diff: 1.5e-06      
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1012 iterations  logLik: -418.91  diff: 1.5e-06      
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1016 iterations  logLik: -418.91  diff: 1.5e-06      
1017 iterations  logLik: -418.91  diff: 1.4e-06      
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1020 iterations  logLik: -418.91  diff: 1.4e-06      
1021 iterations  logLik: -418.91  diff: 1.4e-06      
1022 iterations  logLik: -418.91  diff: 1.4e-06      
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1024 iterations  logLik: -418.91  diff: 1.4e-06      
1025 iterations  logLik: -418.91  diff: 1.4e-06      
1026 iterations  logLik: -418.91  diff: 1.3e-06      
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1038 iterations  logLik: -418.91  diff: 1.2e-06      
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1057 iterations  logLik: -418.91  diff: 1.0e-06      
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1059 iterations  logLik: -418.91  diff: 1.0e-06      
1060 iterations  logLik: -418.91  diff: 1.0e-06      
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1062 iterations  logLik: -418.91  diff: 1.0e-06      
1063 iterations  logLik: -418.91  diff: 1.0e-06      
1064 iterations  logLik: -418.91  diff: 9.9e-07      
1065 iterations  logLik: -418.91  diff: 9.8e-07      
1066 iterations  logLik: -418.91  diff: 9.8e-07      
1067 iterations  logLik: -418.91  diff: 9.7e-07      
1068 iterations  logLik: -418.91  diff: 9.6e-07      
1069 iterations  logLik: -418.91  diff: 9.6e-07      
1070 iterations  logLik: -418.91  diff: 9.5e-07      
1071 iterations  logLik: -418.91  diff: 9.4e-07      
1072 iterations  logLik: -418.91  diff: 9.3e-07      
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1074 iterations  logLik: -418.91  diff: 9.2e-07      
1075 iterations  logLik: -418.91  diff: 9.1e-07      
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1078 iterations  logLik: -418.91  diff: 8.9e-07      
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1080 iterations  logLik: -418.91  diff: 8.8e-07      
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1088 iterations  logLik: -418.91  diff: 8.3e-07      
1089 iterations  logLik: -418.91  diff: 8.2e-07      
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1091 iterations  logLik: -418.91  diff: 8.1e-07      
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1093 iterations  logLik: -418.91  diff: 8.0e-07      
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1095 iterations  logLik: -418.91  diff: 7.9e-07      
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1098 iterations  logLik: -418.91  diff: 7.7e-07      
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1100 iterations  logLik: -418.91  diff: 7.6e-07      
1101 iterations  logLik: -418.91  diff: 7.6e-07      
1102 iterations  logLik: -418.91  diff: 7.5e-07      
1103 iterations  logLik: -418.91  diff: 7.5e-07      
1104 iterations  logLik: -418.91  diff: 7.4e-07      
1105 iterations  logLik: -418.91  diff: 7.4e-07      
1106 iterations  logLik: -418.91  diff: 7.3e-07      
1107 iterations  logLik: -418.91  diff: 7.3e-07      
1108 iterations  logLik: -418.91  diff: 7.2e-07      
1109 iterations  logLik: -418.91  diff: 7.2e-07      
1110 iterations  logLik: -418.91  diff: 7.1e-07      
1111 iterations  logLik: -418.91  diff: 7.1e-07      
1112 iterations  logLik: -418.91  diff: 7.0e-07      
1113 iterations  logLik: -418.91  diff: 7.0e-07      
1114 iterations  logLik: -418.91  diff: 6.9e-07      
1115 iterations  logLik: -418.91  diff: 6.9e-07      
1116 iterations  logLik: -418.91  diff: 6.8e-07      
1117 iterations  logLik: -418.91  diff: 6.8e-07      
1118 iterations  logLik: -418.91  diff: 6.7e-07      
1119 iterations  logLik: -418.91  diff: 6.7e-07      
1120 iterations  logLik: -418.91  diff: 6.6e-07      
1121 iterations  logLik: -418.91  diff: 6.6e-07      
1122 iterations  logLik: -418.91  diff: 6.5e-07      
1123 iterations  logLik: -418.91  diff: 6.5e-07      
1124 iterations  logLik: -418.91  diff: 6.5e-07      
1125 iterations  logLik: -418.91  diff: 6.4e-07      
1126 iterations  logLik: -418.91  diff: 6.4e-07      
1127 iterations  logLik: -418.91  diff: 6.3e-07      
1128 iterations  logLik: -418.91  diff: 6.3e-07      
1129 iterations  logLik: -418.91  diff: 6.2e-07      
1130 iterations  logLik: -418.91  diff: 6.2e-07      
1131 iterations  logLik: -418.91  diff: 6.2e-07      
1132 iterations  logLik: -418.91  diff: 6.1e-07      
1133 iterations  logLik: -418.91  diff: 6.1e-07      
1134 iterations  logLik: -418.91  diff: 6.0e-07      
1135 iterations  logLik: -418.91  diff: 6.0e-07      
1136 iterations  logLik: -418.91  diff: 6.0e-07      
1137 iterations  logLik: -418.91  diff: 5.9e-07      
1138 iterations  logLik: -418.91  diff: 5.9e-07      
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1140 iterations  logLik: -418.91  diff: 5.8e-07      
1141 iterations  logLik: -418.91  diff: 5.8e-07      
1142 iterations  logLik: -418.91  diff: 5.7e-07      
1143 iterations  logLik: -418.91  diff: 5.7e-07      
1144 iterations  logLik: -418.91  diff: 5.7e-07      
1145 iterations  logLik: -418.91  diff: 5.6e-07      
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1148 iterations  logLik: -418.91  diff: 5.5e-07      
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1153 iterations  logLik: -418.91  diff: 5.3e-07      
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1155 iterations  logLik: -418.91  diff: 5.3e-07      
1156 iterations  logLik: -418.91  diff: 5.2e-07      
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1159 iterations  logLik: -418.91  diff: 5.1e-07      
1160 iterations  logLik: -418.91  diff: 5.1e-07      
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1162 iterations  logLik: -418.91  diff: 5.0e-07      
1163 iterations  logLik: -418.91  diff: 5.0e-07      
1164 iterations  logLik: -418.91  diff: 5.0e-07      
1165 iterations  logLik: -418.91  diff: 5.0e-07      
1166 iterations  logLik: -418.91  diff: 4.9e-07      
1167 iterations  logLik: -418.91  diff: 4.9e-07      
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1170 iterations  logLik: -418.91  diff: 4.8e-07      
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1176 iterations  logLik: -418.91  diff: 4.6e-07      
1177 iterations  logLik: -418.91  diff: 4.6e-07      
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1179 iterations  logLik: -418.91  diff: 4.5e-07      
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1187 iterations  logLik: -418.91  diff: 4.3e-07      
1188 iterations  logLik: -418.91  diff: 4.3e-07      
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1196 iterations  logLik: -418.91  diff: 4.1e-07      
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1199 iterations  logLik: -418.91  diff: 4.0e-07      
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1203 iterations  logLik: -418.91  diff: 3.9e-07      
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1234 iterations  logLik: -418.91  diff: 3.3e-07      
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1979 iterations  logLik: -418.91  diff: 1.7e-08      
1980 iterations  logLik: -418.91  diff: 1.7e-08      
1981 iterations  logLik: -418.91  diff: 1.7e-08      
1982 iterations  logLik: -418.91  diff: 1.7e-08      
1983 iterations  logLik: -418.91  diff: 1.7e-08      
1984 iterations  logLik: -418.91  diff: 1.7e-08      
1985 iterations  logLik: -418.91  diff: 1.7e-08      
1986 iterations  logLik: -418.91  diff: 1.7e-08      
1987 iterations  logLik: -418.91  diff: 1.7e-08      
1988 iterations  logLik: -418.91  diff: 1.7e-08      
1989 iterations  logLik: -418.91  diff: 1.7e-08      
1990 iterations  logLik: -418.91  diff: 1.7e-08      
1991 iterations  logLik: -418.91  diff: 1.7e-08      
1992 iterations  logLik: -418.91  diff: 1.7e-08      
1993 iterations  logLik: -418.91  diff: 1.7e-08      
1994 iterations  logLik: -418.91  diff: 1.6e-08      
1995 iterations  logLik: -418.91  diff: 1.6e-08      
1996 iterations  logLik: -418.91  diff: 1.6e-08      
1997 iterations  logLik: -418.91  diff: 1.6e-08      
1998 iterations  logLik: -418.91  diff: 1.6e-08      
1999 iterations  logLik: -418.91  diff: 1.6e-08      
2000 iterations  logLik: -418.91  diff: 1.6e-08      

#> 2001 iterations  logLik: -418.91  diff: 1.6e-08      
2002 iterations  logLik: -418.91  diff: 1.6e-08      
2003 iterations  logLik: -418.91  diff: 1.6e-08      
2004 iterations  logLik: -418.91  diff: 1.6e-08      
2005 iterations  logLik: -418.91  diff: 1.6e-08      
2006 iterations  logLik: -418.91  diff: 1.6e-08      
2007 iterations  logLik: -418.91  diff: 1.6e-08      
2008 iterations  logLik: -418.91  diff: 1.6e-08      
2009 iterations  logLik: -418.91  diff: 1.6e-08      
2010 iterations  logLik: -418.91  diff: 1.6e-08      
2011 iterations  logLik: -418.91  diff: 1.6e-08      
2012 iterations  logLik: -418.91  diff: 1.6e-08      
2013 iterations  logLik: -418.91  diff: 1.5e-08      
2014 iterations  logLik: -418.91  diff: 1.5e-08      
2015 iterations  logLik: -418.91  diff: 1.5e-08      
2016 iterations  logLik: -418.91  diff: 1.5e-08      
2017 iterations  logLik: -418.91  diff: 1.5e-08      
2018 iterations  logLik: -418.91  diff: 1.5e-08      
2019 iterations  logLik: -418.91  diff: 1.5e-08      
2020 iterations  logLik: -418.91  diff: 1.5e-08      
2021 iterations  logLik: -418.91  diff: 1.5e-08      
2022 iterations  logLik: -418.91  diff: 1.5e-08      
2023 iterations  logLik: -418.91  diff: 1.5e-08      
2024 iterations  logLik: -418.91  diff: 1.5e-08      
2025 iterations  logLik: -418.91  diff: 1.5e-08      
2026 iterations  logLik: -418.91  diff: 1.5e-08      
2027 iterations  logLik: -418.91  diff: 1.5e-08      
2028 iterations  logLik: -418.91  diff: 1.5e-08      
2029 iterations  logLik: -418.91  diff: 1.5e-08      
2030 iterations  logLik: -418.91  diff: 1.5e-08      
2031 iterations  logLik: -418.91  diff: 1.5e-08      
2032 iterations  logLik: -418.91  diff: 1.5e-08      
2033 iterations  logLik: -418.91  diff: 1.5e-08      
2034 iterations  logLik: -418.91  diff: 1.4e-08      
2035 iterations  logLik: -418.91  diff: 1.4e-08      
2036 iterations  logLik: -418.91  diff: 1.4e-08      
2037 iterations  logLik: -418.91  diff: 1.4e-08      
2038 iterations  logLik: -418.91  diff: 1.4e-08      
2039 iterations  logLik: -418.91  diff: 1.4e-08      
2040 iterations  logLik: -418.91  diff: 1.4e-08      
2041 iterations  logLik: -418.91  diff: 1.4e-08      
2042 iterations  logLik: -418.91  diff: 1.4e-08      
2043 iterations  logLik: -418.91  diff: 1.4e-08      
2044 iterations  logLik: -418.91  diff: 1.4e-08      
2045 iterations  logLik: -418.91  diff: 1.4e-08      
2046 iterations  logLik: -418.91  diff: 1.4e-08      
2047 iterations  logLik: -418.91  diff: 1.4e-08      
2048 iterations  logLik: -418.91  diff: 1.4e-08      
2049 iterations  logLik: -418.91  diff: 1.4e-08      
2050 iterations  logLik: -418.91  diff: 1.4e-08      
2051 iterations  logLik: -418.91  diff: 1.4e-08      
2052 iterations  logLik: -418.91  diff: 1.4e-08      
2053 iterations  logLik: -418.91  diff: 1.4e-08      
2054 iterations  logLik: -418.91  diff: 1.4e-08      
2055 iterations  logLik: -418.91  diff: 1.4e-08      
2056 iterations  logLik: -418.91  diff: 1.4e-08      
2057 iterations  logLik: -418.91  diff: 1.3e-08      
2058 iterations  logLik: -418.91  diff: 1.3e-08      
2059 iterations  logLik: -418.91  diff: 1.3e-08      
2060 iterations  logLik: -418.91  diff: 1.3e-08      
2061 iterations  logLik: -418.91  diff: 1.3e-08      
2062 iterations  logLik: -418.91  diff: 1.3e-08      
2063 iterations  logLik: -418.91  diff: 1.3e-08      
2064 iterations  logLik: -418.91  diff: 1.3e-08      
2065 iterations  logLik: -418.91  diff: 1.3e-08      
2066 iterations  logLik: -418.91  diff: 1.3e-08      
2067 iterations  logLik: -418.91  diff: 1.3e-08      
2068 iterations  logLik: -418.91  diff: 1.3e-08      
2069 iterations  logLik: -418.91  diff: 1.3e-08      
2070 iterations  logLik: -418.91  diff: 1.3e-08      
2071 iterations  logLik: -418.91  diff: 1.3e-08      
2072 iterations  logLik: -418.91  diff: 1.3e-08      
2073 iterations  logLik: -418.91  diff: 1.3e-08      
2074 iterations  logLik: -418.91  diff: 1.3e-08      
2075 iterations  logLik: -418.91  diff: 1.3e-08      
2076 iterations  logLik: -418.91  diff: 1.3e-08      
2077 iterations  logLik: -418.91  diff: 1.3e-08      
2078 iterations  logLik: -418.91  diff: 1.3e-08      
2079 iterations  logLik: -418.91  diff: 1.3e-08      
2080 iterations  logLik: -418.91  diff: 1.3e-08      
2081 iterations  logLik: -418.91  diff: 1.3e-08      
2082 iterations  logLik: -418.91  diff: 1.2e-08      
2083 iterations  logLik: -418.91  diff: 1.2e-08      
2084 iterations  logLik: -418.91  diff: 1.2e-08      
2085 iterations  logLik: -418.91  diff: 1.2e-08      
2086 iterations  logLik: -418.91  diff: 1.2e-08      
2087 iterations  logLik: -418.91  diff: 1.2e-08      
2088 iterations  logLik: -418.91  diff: 1.2e-08      
2089 iterations  logLik: -418.91  diff: 1.2e-08      
2090 iterations  logLik: -418.91  diff: 1.2e-08      
2091 iterations  logLik: -418.91  diff: 1.2e-08      
2092 iterations  logLik: -418.91  diff: 1.2e-08      
2093 iterations  logLik: -418.91  diff: 1.2e-08      
2094 iterations  logLik: -418.91  diff: 1.2e-08      
2095 iterations  logLik: -418.91  diff: 1.2e-08      
2096 iterations  logLik: -418.91  diff: 1.2e-08      
2097 iterations  logLik: -418.91  diff: 1.2e-08      
2098 iterations  logLik: -418.91  diff: 1.2e-08      
2099 iterations  logLik: -418.91  diff: 1.2e-08      
2100 iterations  logLik: -418.91  diff: 1.2e-08      
2101 iterations  logLik: -418.91  diff: 1.2e-08      
2102 iterations  logLik: -418.91  diff: 1.2e-08      
2103 iterations  logLik: -418.91  diff: 1.2e-08      
2104 iterations  logLik: -418.91  diff: 1.2e-08      
2105 iterations  logLik: -418.91  diff: 1.2e-08      
2106 iterations  logLik: -418.91  diff: 1.2e-08      
2107 iterations  logLik: -418.91  diff: 1.2e-08      
2108 iterations  logLik: -418.91  diff: 1.2e-08      
2109 iterations  logLik: -418.91  diff: 1.1e-08      
2110 iterations  logLik: -418.91  diff: 1.1e-08      
2111 iterations  logLik: -418.91  diff: 1.1e-08      
2112 iterations  logLik: -418.91  diff: 1.1e-08      
2113 iterations  logLik: -418.91  diff: 1.1e-08      
2114 iterations  logLik: -418.91  diff: 1.1e-08      
2115 iterations  logLik: -418.91  diff: 1.1e-08      
2116 iterations  logLik: -418.91  diff: 1.1e-08      
2117 iterations  logLik: -418.91  diff: 1.1e-08      
2118 iterations  logLik: -418.91  diff: 1.1e-08      
2119 iterations  logLik: -418.91  diff: 1.1e-08      
2120 iterations  logLik: -418.91  diff: 1.1e-08      
2121 iterations  logLik: -418.91  diff: 1.1e-08      
2122 iterations  logLik: -418.91  diff: 1.1e-08      
2123 iterations  logLik: -418.91  diff: 1.1e-08      
2124 iterations  logLik: -418.91  diff: 1.1e-08      
2125 iterations  logLik: -418.91  diff: 1.1e-08      
2126 iterations  logLik: -418.91  diff: 1.1e-08      
2127 iterations  logLik: -418.91  diff: 1.1e-08      
2128 iterations  logLik: -418.91  diff: 1.1e-08      
2129 iterations  logLik: -418.91  diff: 1.1e-08      
2130 iterations  logLik: -418.91  diff: 1.1e-08      
2131 iterations  logLik: -418.91  diff: 1.1e-08      
2132 iterations  logLik: -418.91  diff: 1.1e-08      
2133 iterations  logLik: -418.91  diff: 1.1e-08      
2134 iterations  logLik: -418.91  diff: 1.1e-08      
2135 iterations  logLik: -418.91  diff: 1.1e-08      
2136 iterations  logLik: -418.91  diff: 1.1e-08      
2137 iterations  logLik: -418.91  diff: 1.1e-08      
2138 iterations  logLik: -418.91  diff: 1.0e-08      
2139 iterations  logLik: -418.91  diff: 1.0e-08      
2140 iterations  logLik: -418.91  diff: 1.0e-08      
2141 iterations  logLik: -418.91  diff: 1.0e-08      
2142 iterations  logLik: -418.91  diff: 1.0e-08      
2143 iterations  logLik: -418.91  diff: 1.0e-08      
2144 iterations  logLik: -418.91  diff: 1.0e-08      
2145 iterations  logLik: -418.91  diff: 1.0e-08      
2146 iterations  logLik: -418.91  diff: 1.0e-08      
2147 iterations  logLik: -418.91  diff: 1.0e-08      
2148 iterations  logLik: -418.91  diff: 1.0e-08      
2149 iterations  logLik: -418.91  diff: 1.0e-08      
2150 iterations  logLik: -418.91  diff: 1.0e-08      
2151 iterations  logLik: -418.91  diff: 1.0e-08      
2152 iterations  logLik: -418.91  diff: 1.0e-08      
2153 iterations  logLik: -418.91  diff: 1.0e-08      
2154 iterations  logLik: -418.91  diff: 1.0e-08      

#> .. done. 
#> nlm iteration begin.
#> .. done.
#> Structural Latent Variable Model
#> 
#> Latent variables (Root*):           
#>  Label: lc*
#> nclass: 3  
#> 
#> Measurement model:                            
#>  lc -> { y1, y2, y3, y4 }  a
#> 
#> LogLik: -418.9054

# Parameter restriction
mf <- estimate(m, dt$response)
param(mf, index = TRUE)
#> PI :
#> (lc)
#>   class
#>              1           2           3
#>     0.2611 (1)  0.3788 (2)  0.3601 (3)
#> 
#> RHO :
#> (a)
#>         class
#> response            1            2            3
#>    1(V1)   0.8040 (4)  0.0330 (12)  0.8679 (20)
#>    2       0.1960 (5)  0.9670 (13)  0.1321 (21)
#>    1(V2)   0.8522 (6)  0.0000 (14)  0.9233 (22)
#>    2       0.1478 (7)  1.0000 (15)  0.0767 (23)
#>    1(V3)   0.0896 (8)  0.1054 (16)  0.8101 (24)
#>    2       0.9104 (9)  0.8946 (17)  0.1899 (25)
#>    1(V4)  0.0000 (10)  0.0802 (18)  0.8738 (26)
#>    2      1.0000 (11)  0.9198 (19)  0.1262 (27)
#> 
#>    V1 V2 V3 V4
#> lc y1 y2 y3 y4
mf0 <- estimate(mf, fix2zero = c(4, 6, 8, 10))
param(mf0)
#> PI :
#> (lc)
#>   class
#>          1       2       3
#>     0.0000  0.4474  0.5526
#> 
#> RHO :
#> (a)
#>         class
#> response       1       2       3
#>    1(V1)  0.0000  0.0968  0.8898
#>    2      1.0000  0.9032  0.1102
#>    1(V2)  0.0000  0.0856  0.9351
#>    2      1.0000  0.9144  0.0649
#>    1(V3)  0.0000  0.0970  0.5638
#>    2      1.0000  0.9030  0.4362
#>    1(V4)  0.0000  0.0711  0.5667
#>    2      1.0000  0.9289  0.4333
#> 
#>    V1 V2 V3 V4
#> lc y1 y2 y3 y4

# Estimation control
estimate(m, dt$response, control = slcaControl(nrep = 3, verbose = TRUE))
#> Inital parameter test: 
#> 1 / 3  logLik: -418.9081 
#> 2 / 3  logLik: -418.9064 
#> 3 / 3  logLik: -418.9062 
#> 
#> 3th parameter set has been selected.
#> 
#> EM iteration begin.
#> 1 iterations  logLik: -418.91  diff: inf      
2 iterations  logLik: -418.91  diff: 6.2e-06      
3 iterations  logLik: -418.91  diff: 6.2e-06      
4 iterations  logLik: -418.91  diff: 6.1e-06      
5 iterations  logLik: -418.91  diff: 6.1e-06      
6 iterations  logLik: -418.91  diff: 6.0e-06      
7 iterations  logLik: -418.91  diff: 5.9e-06      
8 iterations  logLik: -418.91  diff: 5.9e-06      
9 iterations  logLik: -418.91  diff: 5.8e-06      
10 iterations  logLik: -418.91  diff: 5.7e-06      
11 iterations  logLik: -418.91  diff: 5.7e-06      
12 iterations  logLik: -418.91  diff: 5.6e-06      
13 iterations  logLik: -418.91  diff: 5.6e-06      
14 iterations  logLik: -418.91  diff: 5.5e-06      
15 iterations  logLik: -418.91  diff: 5.5e-06      
16 iterations  logLik: -418.91  diff: 5.4e-06      
17 iterations  logLik: -418.91  diff: 5.4e-06      
18 iterations  logLik: -418.91  diff: 5.3e-06      
19 iterations  logLik: -418.91  diff: 5.2e-06      
20 iterations  logLik: -418.91  diff: 5.2e-06      
21 iterations  logLik: -418.91  diff: 5.1e-06      
22 iterations  logLik: -418.91  diff: 5.1e-06      
23 iterations  logLik: -418.91  diff: 5.0e-06      
24 iterations  logLik: -418.91  diff: 5.0e-06      
25 iterations  logLik: -418.91  diff: 4.9e-06      
26 iterations  logLik: -418.91  diff: 4.9e-06      
27 iterations  logLik: -418.91  diff: 4.8e-06      
28 iterations  logLik: -418.91  diff: 4.8e-06      
29 iterations  logLik: -418.91  diff: 4.7e-06      
30 iterations  logLik: -418.91  diff: 4.7e-06      
31 iterations  logLik: -418.91  diff: 4.6e-06      
32 iterations  logLik: -418.91  diff: 4.6e-06      
33 iterations  logLik: -418.91  diff: 4.6e-06      
34 iterations  logLik: -418.91  diff: 4.5e-06      
35 iterations  logLik: -418.91  diff: 4.5e-06      
36 iterations  logLik: -418.91  diff: 4.4e-06      
37 iterations  logLik: -418.91  diff: 4.4e-06      
38 iterations  logLik: -418.91  diff: 4.3e-06      
39 iterations  logLik: -418.91  diff: 4.3e-06      
40 iterations  logLik: -418.91  diff: 4.2e-06      
41 iterations  logLik: -418.91  diff: 4.2e-06      
42 iterations  logLik: -418.91  diff: 4.2e-06      
43 iterations  logLik: -418.91  diff: 4.1e-06      
44 iterations  logLik: -418.91  diff: 4.1e-06      
45 iterations  logLik: -418.91  diff: 4.0e-06      
46 iterations  logLik: -418.91  diff: 4.0e-06      
47 iterations  logLik: -418.91  diff: 4.0e-06      
48 iterations  logLik: -418.91  diff: 3.9e-06      
49 iterations  logLik: -418.91  diff: 3.9e-06      
50 iterations  logLik: -418.91  diff: 3.8e-06      
51 iterations  logLik: -418.91  diff: 3.8e-06      
52 iterations  logLik: -418.91  diff: 3.8e-06      
53 iterations  logLik: -418.91  diff: 3.7e-06      
54 iterations  logLik: -418.91  diff: 3.7e-06      
55 iterations  logLik: -418.91  diff: 3.7e-06      
56 iterations  logLik: -418.91  diff: 3.6e-06      
57 iterations  logLik: -418.91  diff: 3.6e-06      
58 iterations  logLik: -418.91  diff: 3.6e-06      
59 iterations  logLik: -418.91  diff: 3.5e-06      
60 iterations  logLik: -418.91  diff: 3.5e-06      
61 iterations  logLik: -418.91  diff: 3.5e-06      
62 iterations  logLik: -418.91  diff: 3.4e-06      
63 iterations  logLik: -418.91  diff: 3.4e-06      
64 iterations  logLik: -418.91  diff: 3.4e-06      
65 iterations  logLik: -418.91  diff: 3.3e-06      
66 iterations  logLik: -418.91  diff: 3.3e-06      
67 iterations  logLik: -418.91  diff: 3.3e-06      
68 iterations  logLik: -418.91  diff: 3.2e-06      
69 iterations  logLik: -418.91  diff: 3.2e-06      
70 iterations  logLik: -418.91  diff: 3.2e-06      
71 iterations  logLik: -418.91  diff: 3.1e-06      
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73 iterations  logLik: -418.91  diff: 3.1e-06      
74 iterations  logLik: -418.91  diff: 3.0e-06      
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76 iterations  logLik: -418.91  diff: 3.0e-06      
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78 iterations  logLik: -418.91  diff: 2.9e-06      
79 iterations  logLik: -418.91  diff: 2.9e-06      
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88 iterations  logLik: -418.91  diff: 2.7e-06      
89 iterations  logLik: -418.91  diff: 2.6e-06      
90 iterations  logLik: -418.91  diff: 2.6e-06      
91 iterations  logLik: -418.91  diff: 2.6e-06      
92 iterations  logLik: -418.91  diff: 2.6e-06      
93 iterations  logLik: -418.91  diff: 2.5e-06      
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99 iterations  logLik: -418.91  diff: 2.4e-06      
100 iterations  logLik: -418.91  diff: 2.4e-06      
101 iterations  logLik: -418.91  diff: 2.4e-06      
102 iterations  logLik: -418.91  diff: 2.3e-06      
103 iterations  logLik: -418.91  diff: 2.3e-06      
104 iterations  logLik: -418.91  diff: 2.3e-06      
105 iterations  logLik: -418.91  diff: 2.3e-06      
106 iterations  logLik: -418.91  diff: 2.3e-06      
107 iterations  logLik: -418.91  diff: 2.2e-06      
108 iterations  logLik: -418.91  diff: 2.2e-06      
109 iterations  logLik: -418.91  diff: 2.2e-06      
110 iterations  logLik: -418.91  diff: 2.2e-06      
111 iterations  logLik: -418.91  diff: 2.2e-06      
112 iterations  logLik: -418.91  diff: 2.1e-06      
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114 iterations  logLik: -418.91  diff: 2.1e-06      
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117 iterations  logLik: -418.91  diff: 2.0e-06      
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123 iterations  logLik: -418.91  diff: 1.9e-06      
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#> 1001 iterations  logLik: -418.91  diff: 2.6e-08      
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1120 iterations  logLik: -418.91  diff: 1.7e-08      
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1177 iterations  logLik: -418.91  diff: 1.4e-08      
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1179 iterations  logLik: -418.91  diff: 1.4e-08      
1180 iterations  logLik: -418.91  diff: 1.4e-08      
1181 iterations  logLik: -418.91  diff: 1.4e-08      
1182 iterations  logLik: -418.91  diff: 1.4e-08      
1183 iterations  logLik: -418.91  diff: 1.4e-08      
1184 iterations  logLik: -418.91  diff: 1.4e-08      
1185 iterations  logLik: -418.91  diff: 1.4e-08      
1186 iterations  logLik: -418.91  diff: 1.4e-08      
1187 iterations  logLik: -418.91  diff: 1.4e-08      
1188 iterations  logLik: -418.91  diff: 1.4e-08      
1189 iterations  logLik: -418.91  diff: 1.4e-08      
1190 iterations  logLik: -418.91  diff: 1.4e-08      
1191 iterations  logLik: -418.91  diff: 1.4e-08      
1192 iterations  logLik: -418.91  diff: 1.4e-08      
1193 iterations  logLik: -418.91  diff: 1.4e-08      
1194 iterations  logLik: -418.91  diff: 1.4e-08      
1195 iterations  logLik: -418.91  diff: 1.4e-08      
1196 iterations  logLik: -418.91  diff: 1.4e-08      
1197 iterations  logLik: -418.91  diff: 1.4e-08      
1198 iterations  logLik: -418.91  diff: 1.4e-08      
1199 iterations  logLik: -418.91  diff: 1.4e-08      
1200 iterations  logLik: -418.91  diff: 1.3e-08      
1201 iterations  logLik: -418.91  diff: 1.3e-08      
1202 iterations  logLik: -418.91  diff: 1.3e-08      
1203 iterations  logLik: -418.91  diff: 1.3e-08      
1204 iterations  logLik: -418.91  diff: 1.3e-08      
1205 iterations  logLik: -418.91  diff: 1.3e-08      
1206 iterations  logLik: -418.91  diff: 1.3e-08      
1207 iterations  logLik: -418.91  diff: 1.3e-08      
1208 iterations  logLik: -418.91  diff: 1.3e-08      
1209 iterations  logLik: -418.91  diff: 1.3e-08      
1210 iterations  logLik: -418.91  diff: 1.3e-08      
1211 iterations  logLik: -418.91  diff: 1.3e-08      
1212 iterations  logLik: -418.91  diff: 1.3e-08      
1213 iterations  logLik: -418.91  diff: 1.3e-08      
1214 iterations  logLik: -418.91  diff: 1.3e-08      
1215 iterations  logLik: -418.91  diff: 1.3e-08      
1216 iterations  logLik: -418.91  diff: 1.3e-08      
1217 iterations  logLik: -418.91  diff: 1.3e-08      
1218 iterations  logLik: -418.91  diff: 1.3e-08      
1219 iterations  logLik: -418.91  diff: 1.3e-08      
1220 iterations  logLik: -418.91  diff: 1.3e-08      
1221 iterations  logLik: -418.91  diff: 1.3e-08      
1222 iterations  logLik: -418.91  diff: 1.3e-08      
1223 iterations  logLik: -418.91  diff: 1.3e-08      
1224 iterations  logLik: -418.91  diff: 1.2e-08      
1225 iterations  logLik: -418.91  diff: 1.2e-08      
1226 iterations  logLik: -418.91  diff: 1.2e-08      
1227 iterations  logLik: -418.91  diff: 1.2e-08      
1228 iterations  logLik: -418.91  diff: 1.2e-08      
1229 iterations  logLik: -418.91  diff: 1.2e-08      
1230 iterations  logLik: -418.91  diff: 1.2e-08      
1231 iterations  logLik: -418.91  diff: 1.2e-08      
1232 iterations  logLik: -418.91  diff: 1.2e-08      
1233 iterations  logLik: -418.91  diff: 1.2e-08      
1234 iterations  logLik: -418.91  diff: 1.2e-08      
1235 iterations  logLik: -418.91  diff: 1.2e-08      
1236 iterations  logLik: -418.91  diff: 1.2e-08      
1237 iterations  logLik: -418.91  diff: 1.2e-08      
1238 iterations  logLik: -418.91  diff: 1.2e-08      
1239 iterations  logLik: -418.91  diff: 1.2e-08      
1240 iterations  logLik: -418.91  diff: 1.2e-08      
1241 iterations  logLik: -418.91  diff: 1.2e-08      
1242 iterations  logLik: -418.91  diff: 1.2e-08      
1243 iterations  logLik: -418.91  diff: 1.2e-08      
1244 iterations  logLik: -418.91  diff: 1.2e-08      
1245 iterations  logLik: -418.91  diff: 1.2e-08      
1246 iterations  logLik: -418.91  diff: 1.2e-08      
1247 iterations  logLik: -418.91  diff: 1.2e-08      
1248 iterations  logLik: -418.91  diff: 1.2e-08      
1249 iterations  logLik: -418.91  diff: 1.2e-08      
1250 iterations  logLik: -418.91  diff: 1.2e-08      
1251 iterations  logLik: -418.91  diff: 1.1e-08      
1252 iterations  logLik: -418.91  diff: 1.1e-08      
1253 iterations  logLik: -418.91  diff: 1.1e-08      
1254 iterations  logLik: -418.91  diff: 1.1e-08      
1255 iterations  logLik: -418.91  diff: 1.1e-08      
1256 iterations  logLik: -418.91  diff: 1.1e-08      
1257 iterations  logLik: -418.91  diff: 1.1e-08      
1258 iterations  logLik: -418.91  diff: 1.1e-08      
1259 iterations  logLik: -418.91  diff: 1.1e-08      
1260 iterations  logLik: -418.91  diff: 1.1e-08      
1261 iterations  logLik: -418.91  diff: 1.1e-08      
1262 iterations  logLik: -418.91  diff: 1.1e-08      
1263 iterations  logLik: -418.91  diff: 1.1e-08      
1264 iterations  logLik: -418.91  diff: 1.1e-08      
1265 iterations  logLik: -418.91  diff: 1.1e-08      
1266 iterations  logLik: -418.91  diff: 1.1e-08      
1267 iterations  logLik: -418.91  diff: 1.1e-08      
1268 iterations  logLik: -418.91  diff: 1.1e-08      
1269 iterations  logLik: -418.91  diff: 1.1e-08      
1270 iterations  logLik: -418.91  diff: 1.1e-08      
1271 iterations  logLik: -418.91  diff: 1.1e-08      
1272 iterations  logLik: -418.91  diff: 1.1e-08      
1273 iterations  logLik: -418.91  diff: 1.1e-08      
1274 iterations  logLik: -418.91  diff: 1.1e-08      
1275 iterations  logLik: -418.91  diff: 1.1e-08      
1276 iterations  logLik: -418.91  diff: 1.1e-08      
1277 iterations  logLik: -418.91  diff: 1.1e-08      
1278 iterations  logLik: -418.91  diff: 1.1e-08      
1279 iterations  logLik: -418.91  diff: 1.1e-08      
1280 iterations  logLik: -418.91  diff: 1.1e-08      
1281 iterations  logLik: -418.91  diff: 1.0e-08      
1282 iterations  logLik: -418.91  diff: 1.0e-08      
1283 iterations  logLik: -418.91  diff: 1.0e-08      
1284 iterations  logLik: -418.91  diff: 1.0e-08      
1285 iterations  logLik: -418.91  diff: 1.0e-08      
1286 iterations  logLik: -418.91  diff: 1.0e-08      
1287 iterations  logLik: -418.91  diff: 1.0e-08      
1288 iterations  logLik: -418.91  diff: 1.0e-08      
1289 iterations  logLik: -418.91  diff: 1.0e-08      
1290 iterations  logLik: -418.91  diff: 1.0e-08      
1291 iterations  logLik: -418.91  diff: 1.0e-08      
1292 iterations  logLik: -418.91  diff: 1.0e-08      
1293 iterations  logLik: -418.91  diff: 1.0e-08      
1294 iterations  logLik: -418.91  diff: 1.0e-08      
1295 iterations  logLik: -418.91  diff: 1.0e-08      
1296 iterations  logLik: -418.91  diff: 1.0e-08      
1297 iterations  logLik: -418.91  diff: 1.0e-08      

#> .. done.
#> Structural Latent Variable Model
#> 
#> Latent variables (Root*):           
#>  Label: lc*
#> nclass: 3  
#> 
#> Measurement model:                            
#>  lc -> { y1, y2, y3, y4 }  a
#> 
#> LogLik: -418.9054
estimate(m, dt$response, control = slcaControl(init.param = c(pi, rho)))
#> Structural Latent Variable Model
#> 
#> Latent variables (Root*):           
#>  Label: lc*
#> nclass: 3  
#> 
#> Measurement model:                            
#>  lc -> { y1, y2, y3, y4 }  a
#> 
#> LogLik: -418.7988