Estimate Parameters of an slca Object

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. 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 logical indicator of whether convergence was achieved.

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.

See also

slca() param() slcaControl()

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: -437.4083

# Several estimation methods
estimate(m, dt$response, method = "em",
         control = slcaControl(verbose = TRUE)) # default
#> EM iteration begin.
#> 1 iterations  logLik: -555.63  diff: inf      
2 iterations  logLik: -529.11  diff: 26.51761      
3 iterations  logLik: -527.48  diff: 1.63294      
4 iterations  logLik: -520.12  diff: 7.35963      
5 iterations  logLik: -496.89  diff: 23.23310      
6 iterations  logLik: -468.32  diff: 28.56538      
7 iterations  logLik: -459.83  diff: 8.48871      
8 iterations  logLik: -458.24  diff: 1.59023      
9 iterations  logLik: -456.55  diff: 1.69529      
10 iterations  logLik: -453.41  diff: 3.13445      
11 iterations  logLik: -448.39  diff: 5.01922      
12 iterations  logLik: -442.88  diff: 5.50988      
13 iterations  logLik: -439.30  diff: 3.58502      
14 iterations  logLik: -437.94  diff: 1.35378      
15 iterations  logLik: -437.61  diff: 0.33350      
16 iterations  logLik: -437.55  diff: 0.06555      
17 iterations  logLik: -437.53  diff: 0.01269      
18 iterations  logLik: -437.53  diff: 0.00314      
19 iterations  logLik: -437.53  diff: 0.00139      
20 iterations  logLik: -437.53  diff: 0.00105      
21 iterations  logLik: -437.53  diff: 0.00099      
22 iterations  logLik: -437.53  diff: 0.00097      
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#> 1001 iterations  logLik: -437.41  diff: 4.0e-07      
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1734 iterations  logLik: -437.41  diff: 1.8e-08      
1735 iterations  logLik: -437.41  diff: 1.8e-08      
1736 iterations  logLik: -437.41  diff: 1.8e-08      
1737 iterations  logLik: -437.41  diff: 1.8e-08      
1738 iterations  logLik: -437.41  diff: 1.8e-08      
1739 iterations  logLik: -437.41  diff: 1.8e-08      
1740 iterations  logLik: -437.41  diff: 1.8e-08      
1741 iterations  logLik: -437.41  diff: 1.8e-08      
1742 iterations  logLik: -437.41  diff: 1.8e-08      
1743 iterations  logLik: -437.41  diff: 1.7e-08      
1744 iterations  logLik: -437.41  diff: 1.7e-08      
1745 iterations  logLik: -437.41  diff: 1.7e-08      
1746 iterations  logLik: -437.41  diff: 1.7e-08      
1747 iterations  logLik: -437.41  diff: 1.7e-08      
1748 iterations  logLik: -437.41  diff: 1.7e-08      
1749 iterations  logLik: -437.41  diff: 1.7e-08      
1750 iterations  logLik: -437.41  diff: 1.7e-08      
1751 iterations  logLik: -437.41  diff: 1.7e-08      
1752 iterations  logLik: -437.41  diff: 1.7e-08      
1753 iterations  logLik: -437.41  diff: 1.7e-08      
1754 iterations  logLik: -437.41  diff: 1.7e-08      
1755 iterations  logLik: -437.41  diff: 1.7e-08      
1756 iterations  logLik: -437.41  diff: 1.7e-08      
1757 iterations  logLik: -437.41  diff: 1.7e-08      
1758 iterations  logLik: -437.41  diff: 1.6e-08      
1759 iterations  logLik: -437.41  diff: 1.6e-08      
1760 iterations  logLik: -437.41  diff: 1.6e-08      
1761 iterations  logLik: -437.41  diff: 1.6e-08      
1762 iterations  logLik: -437.41  diff: 1.6e-08      
1763 iterations  logLik: -437.41  diff: 1.6e-08      
1764 iterations  logLik: -437.41  diff: 1.6e-08      
1765 iterations  logLik: -437.41  diff: 1.6e-08      
1766 iterations  logLik: -437.41  diff: 1.6e-08      
1767 iterations  logLik: -437.41  diff: 1.6e-08      
1768 iterations  logLik: -437.41  diff: 1.6e-08      
1769 iterations  logLik: -437.41  diff: 1.6e-08      
1770 iterations  logLik: -437.41  diff: 1.6e-08      
1771 iterations  logLik: -437.41  diff: 1.6e-08      
1772 iterations  logLik: -437.41  diff: 1.6e-08      
1773 iterations  logLik: -437.41  diff: 1.5e-08      
1774 iterations  logLik: -437.41  diff: 1.5e-08      
1775 iterations  logLik: -437.41  diff: 1.5e-08      
1776 iterations  logLik: -437.41  diff: 1.5e-08      
1777 iterations  logLik: -437.41  diff: 1.5e-08      
1778 iterations  logLik: -437.41  diff: 1.5e-08      
1779 iterations  logLik: -437.41  diff: 1.5e-08      
1780 iterations  logLik: -437.41  diff: 1.5e-08      
1781 iterations  logLik: -437.41  diff: 1.5e-08      
1782 iterations  logLik: -437.41  diff: 1.5e-08      
1783 iterations  logLik: -437.41  diff: 1.5e-08      
1784 iterations  logLik: -437.41  diff: 1.5e-08      
1785 iterations  logLik: -437.41  diff: 1.5e-08      
1786 iterations  logLik: -437.41  diff: 1.5e-08      
1787 iterations  logLik: -437.41  diff: 1.5e-08      
1788 iterations  logLik: -437.41  diff: 1.5e-08      
1789 iterations  logLik: -437.41  diff: 1.5e-08      
1790 iterations  logLik: -437.41  diff: 1.4e-08      
1791 iterations  logLik: -437.41  diff: 1.4e-08      
1792 iterations  logLik: -437.41  diff: 1.4e-08      
1793 iterations  logLik: -437.41  diff: 1.4e-08      
1794 iterations  logLik: -437.41  diff: 1.4e-08      
1795 iterations  logLik: -437.41  diff: 1.4e-08      
1796 iterations  logLik: -437.41  diff: 1.4e-08      
1797 iterations  logLik: -437.41  diff: 1.4e-08      
1798 iterations  logLik: -437.41  diff: 1.4e-08      
1799 iterations  logLik: -437.41  diff: 1.4e-08      
1800 iterations  logLik: -437.41  diff: 1.4e-08      
1801 iterations  logLik: -437.41  diff: 1.4e-08      
1802 iterations  logLik: -437.41  diff: 1.4e-08      
1803 iterations  logLik: -437.41  diff: 1.4e-08      
1804 iterations  logLik: -437.41  diff: 1.4e-08      
1805 iterations  logLik: -437.41  diff: 1.4e-08      
1806 iterations  logLik: -437.41  diff: 1.4e-08      
1807 iterations  logLik: -437.41  diff: 1.3e-08      
1808 iterations  logLik: -437.41  diff: 1.3e-08      
1809 iterations  logLik: -437.41  diff: 1.3e-08      
1810 iterations  logLik: -437.41  diff: 1.3e-08      
1811 iterations  logLik: -437.41  diff: 1.3e-08      
1812 iterations  logLik: -437.41  diff: 1.3e-08      
1813 iterations  logLik: -437.41  diff: 1.3e-08      
1814 iterations  logLik: -437.41  diff: 1.3e-08      
1815 iterations  logLik: -437.41  diff: 1.3e-08      
1816 iterations  logLik: -437.41  diff: 1.3e-08      
1817 iterations  logLik: -437.41  diff: 1.3e-08      
1818 iterations  logLik: -437.41  diff: 1.3e-08      
1819 iterations  logLik: -437.41  diff: 1.3e-08      
1820 iterations  logLik: -437.41  diff: 1.3e-08      
1821 iterations  logLik: -437.41  diff: 1.3e-08      
1822 iterations  logLik: -437.41  diff: 1.3e-08      
1823 iterations  logLik: -437.41  diff: 1.3e-08      
1824 iterations  logLik: -437.41  diff: 1.3e-08      
1825 iterations  logLik: -437.41  diff: 1.3e-08      
1826 iterations  logLik: -437.41  diff: 1.3e-08      
1827 iterations  logLik: -437.41  diff: 1.2e-08      
1828 iterations  logLik: -437.41  diff: 1.2e-08      
1829 iterations  logLik: -437.41  diff: 1.2e-08      
1830 iterations  logLik: -437.41  diff: 1.2e-08      
1831 iterations  logLik: -437.41  diff: 1.2e-08      
1832 iterations  logLik: -437.41  diff: 1.2e-08      
1833 iterations  logLik: -437.41  diff: 1.2e-08      
1834 iterations  logLik: -437.41  diff: 1.2e-08      
1835 iterations  logLik: -437.41  diff: 1.2e-08      
1836 iterations  logLik: -437.41  diff: 1.2e-08      
1837 iterations  logLik: -437.41  diff: 1.2e-08      
1838 iterations  logLik: -437.41  diff: 1.2e-08      
1839 iterations  logLik: -437.41  diff: 1.2e-08      
1840 iterations  logLik: -437.41  diff: 1.2e-08      
1841 iterations  logLik: -437.41  diff: 1.2e-08      
1842 iterations  logLik: -437.41  diff: 1.2e-08      
1843 iterations  logLik: -437.41  diff: 1.2e-08      
1844 iterations  logLik: -437.41  diff: 1.2e-08      
1845 iterations  logLik: -437.41  diff: 1.2e-08      
1846 iterations  logLik: -437.41  diff: 1.2e-08      
1847 iterations  logLik: -437.41  diff: 1.1e-08      
1848 iterations  logLik: -437.41  diff: 1.1e-08      
1849 iterations  logLik: -437.41  diff: 1.1e-08      
1850 iterations  logLik: -437.41  diff: 1.1e-08      
1851 iterations  logLik: -437.41  diff: 1.1e-08      
1852 iterations  logLik: -437.41  diff: 1.1e-08      
1853 iterations  logLik: -437.41  diff: 1.1e-08      
1854 iterations  logLik: -437.41  diff: 1.1e-08      
1855 iterations  logLik: -437.41  diff: 1.1e-08      
1856 iterations  logLik: -437.41  diff: 1.1e-08      
1857 iterations  logLik: -437.41  diff: 1.1e-08      
1858 iterations  logLik: -437.41  diff: 1.1e-08      
1859 iterations  logLik: -437.41  diff: 1.1e-08      
1860 iterations  logLik: -437.41  diff: 1.1e-08      
1861 iterations  logLik: -437.41  diff: 1.1e-08      
1862 iterations  logLik: -437.41  diff: 1.1e-08      
1863 iterations  logLik: -437.41  diff: 1.1e-08      
1864 iterations  logLik: -437.41  diff: 1.1e-08      
1865 iterations  logLik: -437.41  diff: 1.1e-08      
1866 iterations  logLik: -437.41  diff: 1.1e-08      
1867 iterations  logLik: -437.41  diff: 1.1e-08      
1868 iterations  logLik: -437.41  diff: 1.1e-08      
1869 iterations  logLik: -437.41  diff: 1.1e-08      
1870 iterations  logLik: -437.41  diff: 1.0e-08      
1871 iterations  logLik: -437.41  diff: 1.0e-08      
1872 iterations  logLik: -437.41  diff: 1.0e-08      
1873 iterations  logLik: -437.41  diff: 1.0e-08      
1874 iterations  logLik: -437.41  diff: 1.0e-08      
1875 iterations  logLik: -437.41  diff: 1.0e-08      
1876 iterations  logLik: -437.41  diff: 1.0e-08      
1877 iterations  logLik: -437.41  diff: 1.0e-08      
1878 iterations  logLik: -437.41  diff: 1.0e-08      
1879 iterations  logLik: -437.41  diff: 1.0e-08      
1880 iterations  logLik: -437.41  diff: 1.0e-08      
1881 iterations  logLik: -437.41  diff: 1.0e-08      
1882 iterations  logLik: -437.41  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: -437.4083
estimate(m, dt$response, method = "nlm",
         control = slcaControl(verbose = TRUE))
#> nlm iteration begin.
#> .. done.
#> Structural Latent Variable Model
#> 
#> Latent variables (Root*):           
#>  Label: lc*
#> nclass: 3  
#> 
#> Measurement model:                            
#>  lc -> { y1, y2, y3, y4 }  a
#> 
#> LogLik: -437.2898
estimate(m, dt$response, method = "hybrid",
         control = slcaControl(verbose = TRUE))
#> EM iteration begin.
#> 1 iterations  logLik: -553.19  diff: inf      
2 iterations  logLik: -529.49  diff: 23.70840      
3 iterations  logLik: -529.31  diff: 0.17160      
4 iterations  logLik: -528.49  diff: 0.82550      
5 iterations  logLik: -524.62  diff: 3.87235      
6 iterations  logLik: -509.73  diff: 14.88868      
7 iterations  logLik: -479.22  diff: 30.51032      
8 iterations  logLik: -459.69  diff: 19.52416      
9 iterations  logLik: -453.68  diff: 6.00965      
10 iterations  logLik: -448.02  diff: 5.66148      
11 iterations  logLik: -442.02  diff: 5.99777      
12 iterations  logLik: -438.66  diff: 3.36168      
13 iterations  logLik: -437.76  diff: 0.90525      
14 iterations  logLik: -437.62  diff: 0.14151      
15 iterations  logLik: -437.60  diff: 0.01826      
16 iterations  logLik: -437.59  diff: 0.00351      
17 iterations  logLik: -437.59  diff: 0.00183      
18 iterations  logLik: -437.59  diff: 0.00160      
19 iterations  logLik: -437.59  diff: 0.00155      
20 iterations  logLik: -437.59  diff: 0.00152      
21 iterations  logLik: -437.59  diff: 0.00150      
22 iterations  logLik: -437.59  diff: 0.00148      
23 iterations  logLik: -437.58  diff: 0.00146      
24 iterations  logLik: -437.58  diff: 0.00145      
25 iterations  logLik: -437.58  diff: 0.00144      
26 iterations  logLik: -437.58  diff: 0.00143      
27 iterations  logLik: -437.58  diff: 0.00143      
28 iterations  logLik: -437.58  diff: 0.00143      
29 iterations  logLik: -437.58  diff: 0.00143      
30 iterations  logLik: -437.57  diff: 0.00143      
31 iterations  logLik: -437.57  diff: 0.00143      
32 iterations  logLik: -437.57  diff: 0.00144      
33 iterations  logLik: -437.57  diff: 0.00145      
34 iterations  logLik: -437.57  diff: 0.00146      
35 iterations  logLik: -437.57  diff: 0.00147      
36 iterations  logLik: -437.56  diff: 0.00149      
37 iterations  logLik: -437.56  diff: 0.00151      
38 iterations  logLik: -437.56  diff: 0.00153      
39 iterations  logLik: -437.56  diff: 0.00155      
40 iterations  logLik: -437.56  diff: 0.00157      
41 iterations  logLik: -437.56  diff: 0.00160      
42 iterations  logLik: -437.56  diff: 0.00163      
43 iterations  logLik: -437.55  diff: 0.00166      
44 iterations  logLik: -437.55  diff: 0.00169      
45 iterations  logLik: -437.55  diff: 0.00172      
46 iterations  logLik: -437.55  diff: 0.00176      
47 iterations  logLik: -437.55  diff: 0.00179      
48 iterations  logLik: -437.55  diff: 0.00183      
49 iterations  logLik: -437.54  diff: 0.00187      
50 iterations  logLik: -437.54  diff: 0.00191      
51 iterations  logLik: -437.54  diff: 0.00196      
52 iterations  logLik: -437.54  diff: 0.00200      
53 iterations  logLik: -437.54  diff: 0.00204      
54 iterations  logLik: -437.53  diff: 0.00209      
55 iterations  logLik: -437.53  diff: 0.00214      
56 iterations  logLik: -437.53  diff: 0.00218      
57 iterations  logLik: -437.53  diff: 0.00223      
58 iterations  logLik: -437.52  diff: 0.00228      
59 iterations  logLik: -437.52  diff: 0.00233      
60 iterations  logLik: -437.52  diff: 0.00238      
61 iterations  logLik: -437.52  diff: 0.00243      
62 iterations  logLik: -437.51  diff: 0.00247      
63 iterations  logLik: -437.51  diff: 0.00252      
64 iterations  logLik: -437.51  diff: 0.00257      
65 iterations  logLik: -437.51  diff: 0.00262      
66 iterations  logLik: -437.50  diff: 0.00266      
67 iterations  logLik: -437.50  diff: 0.00271      
68 iterations  logLik: -437.50  diff: 0.00275      
69 iterations  logLik: -437.50  diff: 0.00280      
70 iterations  logLik: -437.49  diff: 0.00284      
71 iterations  logLik: -437.49  diff: 0.00288      
72 iterations  logLik: -437.49  diff: 0.00291      
73 iterations  logLik: -437.48  diff: 0.00295      
74 iterations  logLik: -437.48  diff: 0.00298      
75 iterations  logLik: -437.48  diff: 0.00301      
76 iterations  logLik: -437.48  diff: 0.00304      
77 iterations  logLik: -437.47  diff: 0.00307      
78 iterations  logLik: -437.47  diff: 0.00309      
79 iterations  logLik: -437.47  diff: 0.00311      
80 iterations  logLik: -437.46  diff: 0.00313      
81 iterations  logLik: -437.46  diff: 0.00314      
82 iterations  logLik: -437.46  diff: 0.00315      
83 iterations  logLik: -437.45  diff: 0.00316      
84 iterations  logLik: -437.45  diff: 0.00317      
85 iterations  logLik: -437.45  diff: 0.00317      
86 iterations  logLik: -437.44  diff: 0.00316      
87 iterations  logLik: -437.44  diff: 0.00316      
88 iterations  logLik: -437.44  diff: 0.00315      
89 iterations  logLik: -437.43  diff: 0.00314      
90 iterations  logLik: -437.43  diff: 0.00312      
91 iterations  logLik: -437.43  diff: 0.00311      
92 iterations  logLik: -437.43  diff: 0.00309      
93 iterations  logLik: -437.42  diff: 0.00306      
94 iterations  logLik: -437.42  diff: 0.00304      
95 iterations  logLik: -437.42  diff: 0.00301      
96 iterations  logLik: -437.41  diff: 0.00298      
97 iterations  logLik: -437.41  diff: 0.00294      
98 iterations  logLik: -437.41  diff: 0.00291      
99 iterations  logLik: -437.40  diff: 0.00287      
100 iterations  logLik: -437.40  diff: 0.00283      
101 iterations  logLik: -437.40  diff: 0.00279      
102 iterations  logLik: -437.40  diff: 0.00274      
103 iterations  logLik: -437.39  diff: 0.00270      
104 iterations  logLik: -437.39  diff: 0.00265      
105 iterations  logLik: -437.39  diff: 0.00261      
106 iterations  logLik: -437.39  diff: 0.00256      
107 iterations  logLik: -437.38  diff: 0.00251      
108 iterations  logLik: -437.38  diff: 0.00246      
109 iterations  logLik: -437.38  diff: 0.00241      
110 iterations  logLik: -437.38  diff: 0.00236      
111 iterations  logLik: -437.37  diff: 0.00231      
112 iterations  logLik: -437.37  diff: 0.00226      
113 iterations  logLik: -437.37  diff: 0.00221      
114 iterations  logLik: -437.37  diff: 0.00215      
115 iterations  logLik: -437.37  diff: 0.00210      
116 iterations  logLik: -437.36  diff: 0.00205      
117 iterations  logLik: -437.36  diff: 0.00200      
118 iterations  logLik: -437.36  diff: 0.00195      
119 iterations  logLik: -437.36  diff: 0.00190      
120 iterations  logLik: -437.36  diff: 0.00185      
121 iterations  logLik: -437.35  diff: 0.00181      
122 iterations  logLik: -437.35  diff: 0.00176      
123 iterations  logLik: -437.35  diff: 0.00171      
124 iterations  logLik: -437.35  diff: 0.00167      
125 iterations  logLik: -437.35  diff: 0.00162      
126 iterations  logLik: -437.35  diff: 0.00158      
127 iterations  logLik: -437.34  diff: 0.00153      
128 iterations  logLik: -437.34  diff: 0.00149      
129 iterations  logLik: -437.34  diff: 0.00145      
130 iterations  logLik: -437.34  diff: 0.00141      
131 iterations  logLik: -437.34  diff: 0.00137      
132 iterations  logLik: -437.34  diff: 0.00133      
133 iterations  logLik: -437.34  diff: 0.00129      
134 iterations  logLik: -437.33  diff: 0.00125      
135 iterations  logLik: -437.33  diff: 0.00122      
136 iterations  logLik: -437.33  diff: 0.00118      
137 iterations  logLik: -437.33  diff: 0.00115      
138 iterations  logLik: -437.33  diff: 0.00111      
139 iterations  logLik: -437.33  diff: 0.00108      
140 iterations  logLik: -437.33  diff: 0.00105      
141 iterations  logLik: -437.33  diff: 0.00102      
142 iterations  logLik: -437.33  diff: 0.00099      
143 iterations  logLik: -437.32  diff: 0.00096      
144 iterations  logLik: -437.32  diff: 0.00093      
145 iterations  logLik: -437.32  diff: 0.00090      
146 iterations  logLik: -437.32  diff: 0.00087      
147 iterations  logLik: -437.32  diff: 0.00085      
148 iterations  logLik: -437.32  diff: 0.00082      
149 iterations  logLik: -437.32  diff: 0.00080      
150 iterations  logLik: -437.32  diff: 0.00077      
151 iterations  logLik: -437.32  diff: 0.00075      
152 iterations  logLik: -437.32  diff: 0.00073      
153 iterations  logLik: -437.32  diff: 0.00071      
154 iterations  logLik: -437.32  diff: 0.00069      
155 iterations  logLik: -437.31  diff: 0.00067      
156 iterations  logLik: -437.31  diff: 0.00065      
157 iterations  logLik: -437.31  diff: 0.00063      
158 iterations  logLik: -437.31  diff: 0.00061      
159 iterations  logLik: -437.31  diff: 0.00059      
160 iterations  logLik: -437.31  diff: 0.00057      
161 iterations  logLik: -437.31  diff: 0.00056      
162 iterations  logLik: -437.31  diff: 0.00054      
163 iterations  logLik: -437.31  diff: 0.00052      
164 iterations  logLik: -437.31  diff: 0.00051      
165 iterations  logLik: -437.31  diff: 0.00049      
166 iterations  logLik: -437.31  diff: 0.00048      
167 iterations  logLik: -437.31  diff: 0.00047      
168 iterations  logLik: -437.31  diff: 0.00045      
169 iterations  logLik: -437.31  diff: 0.00044      
170 iterations  logLik: -437.31  diff: 0.00043      
171 iterations  logLik: -437.31  diff: 0.00042      
172 iterations  logLik: -437.31  diff: 0.00040      
173 iterations  logLik: -437.31  diff: 0.00039      
174 iterations  logLik: -437.31  diff: 0.00038      
175 iterations  logLik: -437.30  diff: 0.00037      
176 iterations  logLik: -437.30  diff: 0.00036      
177 iterations  logLik: -437.30  diff: 0.00035      
178 iterations  logLik: -437.30  diff: 0.00034      
179 iterations  logLik: -437.30  diff: 0.00033      
180 iterations  logLik: -437.30  diff: 0.00032      
181 iterations  logLik: -437.30  diff: 0.00031      
182 iterations  logLik: -437.30  diff: 0.00030      
183 iterations  logLik: -437.30  diff: 0.00029      
184 iterations  logLik: -437.30  diff: 0.00029      
185 iterations  logLik: -437.30  diff: 0.00028      
186 iterations  logLik: -437.30  diff: 0.00027      
187 iterations  logLik: -437.30  diff: 0.00026      
188 iterations  logLik: -437.30  diff: 0.00026      
189 iterations  logLik: -437.30  diff: 0.00025      
190 iterations  logLik: -437.30  diff: 0.00024      
191 iterations  logLik: -437.30  diff: 0.00024      
192 iterations  logLik: -437.30  diff: 0.00023      
193 iterations  logLik: -437.30  diff: 0.00022      
194 iterations  logLik: -437.30  diff: 0.00022      
195 iterations  logLik: -437.30  diff: 0.00021      
196 iterations  logLik: -437.30  diff: 0.00021      
197 iterations  logLik: -437.30  diff: 0.00020      
198 iterations  logLik: -437.30  diff: 0.00020      
199 iterations  logLik: -437.30  diff: 0.00019      
200 iterations  logLik: -437.30  diff: 0.00019      
201 iterations  logLik: -437.30  diff: 0.00018      
202 iterations  logLik: -437.30  diff: 0.00018      
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922 iterations  logLik: -437.29  diff: 8.6e-08      
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924 iterations  logLik: -437.29  diff: 8.6e-08      
925 iterations  logLik: -437.29  diff: 8.5e-08      
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927 iterations  logLik: -437.29  diff: 8.4e-08      
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929 iterations  logLik: -437.29  diff: 8.3e-08      
930 iterations  logLik: -437.29  diff: 8.3e-08      
931 iterations  logLik: -437.29  diff: 8.2e-08      
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934 iterations  logLik: -437.29  diff: 8.1e-08      
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937 iterations  logLik: -437.29  diff: 8.0e-08      
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999 iterations  logLik: -437.29  diff: 5.8e-08      
1000 iterations  logLik: -437.29  diff: 5.8e-08      

#> 1001 iterations  logLik: -437.29  diff: 5.8e-08      
1002 iterations  logLik: -437.29  diff: 5.7e-08      
1003 iterations  logLik: -437.29  diff: 5.7e-08      
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1005 iterations  logLik: -437.29  diff: 5.6e-08      
1006 iterations  logLik: -437.29  diff: 5.6e-08      
1007 iterations  logLik: -437.29  diff: 5.6e-08      
1008 iterations  logLik: -437.29  diff: 5.6e-08      
1009 iterations  logLik: -437.29  diff: 5.5e-08      
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1012 iterations  logLik: -437.29  diff: 5.5e-08      
1013 iterations  logLik: -437.29  diff: 5.4e-08      
1014 iterations  logLik: -437.29  diff: 5.4e-08      
1015 iterations  logLik: -437.29  diff: 5.4e-08      
1016 iterations  logLik: -437.29  diff: 5.3e-08      
1017 iterations  logLik: -437.29  diff: 5.3e-08      
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1020 iterations  logLik: -437.29  diff: 5.2e-08      
1021 iterations  logLik: -437.29  diff: 5.2e-08      
1022 iterations  logLik: -437.29  diff: 5.2e-08      
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1024 iterations  logLik: -437.29  diff: 5.1e-08      
1025 iterations  logLik: -437.29  diff: 5.1e-08      
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1030 iterations  logLik: -437.29  diff: 5.0e-08      
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1032 iterations  logLik: -437.29  diff: 4.9e-08      
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1038 iterations  logLik: -437.29  diff: 4.8e-08      
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1059 iterations  logLik: -437.29  diff: 4.3e-08      
1060 iterations  logLik: -437.29  diff: 4.3e-08      
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1063 iterations  logLik: -437.29  diff: 4.3e-08      
1064 iterations  logLik: -437.29  diff: 4.2e-08      
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1066 iterations  logLik: -437.29  diff: 4.2e-08      
1067 iterations  logLik: -437.29  diff: 4.2e-08      
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1069 iterations  logLik: -437.29  diff: 4.1e-08      
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1078 iterations  logLik: -437.29  diff: 4.0e-08      
1079 iterations  logLik: -437.29  diff: 3.9e-08      
1080 iterations  logLik: -437.29  diff: 3.9e-08      
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1088 iterations  logLik: -437.29  diff: 3.8e-08      
1089 iterations  logLik: -437.29  diff: 3.8e-08      
1090 iterations  logLik: -437.29  diff: 3.7e-08      
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1092 iterations  logLik: -437.29  diff: 3.7e-08      
1093 iterations  logLik: -437.29  diff: 3.7e-08      
1094 iterations  logLik: -437.29  diff: 3.7e-08      
1095 iterations  logLik: -437.29  diff: 3.7e-08      
1096 iterations  logLik: -437.29  diff: 3.6e-08      
1097 iterations  logLik: -437.29  diff: 3.6e-08      
1098 iterations  logLik: -437.29  diff: 3.6e-08      
1099 iterations  logLik: -437.29  diff: 3.6e-08      
1100 iterations  logLik: -437.29  diff: 3.6e-08      
1101 iterations  logLik: -437.29  diff: 3.5e-08      
1102 iterations  logLik: -437.29  diff: 3.5e-08      
1103 iterations  logLik: -437.29  diff: 3.5e-08      
1104 iterations  logLik: -437.29  diff: 3.5e-08      
1105 iterations  logLik: -437.29  diff: 3.5e-08      
1106 iterations  logLik: -437.29  diff: 3.5e-08      
1107 iterations  logLik: -437.29  diff: 3.5e-08      
1108 iterations  logLik: -437.29  diff: 3.4e-08      
1109 iterations  logLik: -437.29  diff: 3.4e-08      
1110 iterations  logLik: -437.29  diff: 3.4e-08      
1111 iterations  logLik: -437.29  diff: 3.4e-08      
1112 iterations  logLik: -437.29  diff: 3.4e-08      
1113 iterations  logLik: -437.29  diff: 3.4e-08      
1114 iterations  logLik: -437.29  diff: 3.3e-08      
1115 iterations  logLik: -437.29  diff: 3.3e-08      
1116 iterations  logLik: -437.29  diff: 3.3e-08      
1117 iterations  logLik: -437.29  diff: 3.3e-08      
1118 iterations  logLik: -437.29  diff: 3.3e-08      
1119 iterations  logLik: -437.29  diff: 3.3e-08      
1120 iterations  logLik: -437.29  diff: 3.2e-08      
1121 iterations  logLik: -437.29  diff: 3.2e-08      
1122 iterations  logLik: -437.29  diff: 3.2e-08      
1123 iterations  logLik: -437.29  diff: 3.2e-08      
1124 iterations  logLik: -437.29  diff: 3.2e-08      
1125 iterations  logLik: -437.29  diff: 3.2e-08      
1126 iterations  logLik: -437.29  diff: 3.2e-08      
1127 iterations  logLik: -437.29  diff: 3.1e-08      
1128 iterations  logLik: -437.29  diff: 3.1e-08      
1129 iterations  logLik: -437.29  diff: 3.1e-08      
1130 iterations  logLik: -437.29  diff: 3.1e-08      
1131 iterations  logLik: -437.29  diff: 3.1e-08      
1132 iterations  logLik: -437.29  diff: 3.1e-08      
1133 iterations  logLik: -437.29  diff: 3.1e-08      
1134 iterations  logLik: -437.29  diff: 3.0e-08      
1135 iterations  logLik: -437.29  diff: 3.0e-08      
1136 iterations  logLik: -437.29  diff: 3.0e-08      
1137 iterations  logLik: -437.29  diff: 3.0e-08      
1138 iterations  logLik: -437.29  diff: 3.0e-08      
1139 iterations  logLik: -437.29  diff: 3.0e-08      
1140 iterations  logLik: -437.29  diff: 3.0e-08      
1141 iterations  logLik: -437.29  diff: 2.9e-08      
1142 iterations  logLik: -437.29  diff: 2.9e-08      
1143 iterations  logLik: -437.29  diff: 2.9e-08      
1144 iterations  logLik: -437.29  diff: 2.9e-08      
1145 iterations  logLik: -437.29  diff: 2.9e-08      
1146 iterations  logLik: -437.29  diff: 2.9e-08      
1147 iterations  logLik: -437.29  diff: 2.9e-08      
1148 iterations  logLik: -437.29  diff: 2.9e-08      
1149 iterations  logLik: -437.29  diff: 2.8e-08      
1150 iterations  logLik: -437.29  diff: 2.8e-08      
1151 iterations  logLik: -437.29  diff: 2.8e-08      
1152 iterations  logLik: -437.29  diff: 2.8e-08      
1153 iterations  logLik: -437.29  diff: 2.8e-08      
1154 iterations  logLik: -437.29  diff: 2.8e-08      
1155 iterations  logLik: -437.29  diff: 2.8e-08      
1156 iterations  logLik: -437.29  diff: 2.7e-08      
1157 iterations  logLik: -437.29  diff: 2.7e-08      
1158 iterations  logLik: -437.29  diff: 2.7e-08      
1159 iterations  logLik: -437.29  diff: 2.7e-08      
1160 iterations  logLik: -437.29  diff: 2.7e-08      
1161 iterations  logLik: -437.29  diff: 2.7e-08      
1162 iterations  logLik: -437.29  diff: 2.7e-08      
1163 iterations  logLik: -437.29  diff: 2.7e-08      
1164 iterations  logLik: -437.29  diff: 2.7e-08      
1165 iterations  logLik: -437.29  diff: 2.6e-08      
1166 iterations  logLik: -437.29  diff: 2.6e-08      
1167 iterations  logLik: -437.29  diff: 2.6e-08      
1168 iterations  logLik: -437.29  diff: 2.6e-08      
1169 iterations  logLik: -437.29  diff: 2.6e-08      
1170 iterations  logLik: -437.29  diff: 2.6e-08      
1171 iterations  logLik: -437.29  diff: 2.6e-08      
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1173 iterations  logLik: -437.29  diff: 2.5e-08      
1174 iterations  logLik: -437.29  diff: 2.5e-08      
1175 iterations  logLik: -437.29  diff: 2.5e-08      
1176 iterations  logLik: -437.29  diff: 2.5e-08      
1177 iterations  logLik: -437.29  diff: 2.5e-08      
1178 iterations  logLik: -437.29  diff: 2.5e-08      
1179 iterations  logLik: -437.29  diff: 2.5e-08      
1180 iterations  logLik: -437.29  diff: 2.5e-08      
1181 iterations  logLik: -437.29  diff: 2.5e-08      
1182 iterations  logLik: -437.29  diff: 2.4e-08      
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1188 iterations  logLik: -437.29  diff: 2.4e-08      
1189 iterations  logLik: -437.29  diff: 2.4e-08      
1190 iterations  logLik: -437.29  diff: 2.4e-08      
1191 iterations  logLik: -437.29  diff: 2.3e-08      
1192 iterations  logLik: -437.29  diff: 2.3e-08      
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1196 iterations  logLik: -437.29  diff: 2.3e-08      
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1198 iterations  logLik: -437.29  diff: 2.3e-08      
1199 iterations  logLik: -437.29  diff: 2.3e-08      
1200 iterations  logLik: -437.29  diff: 2.3e-08      
1201 iterations  logLik: -437.29  diff: 2.2e-08      
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1221 iterations  logLik: -437.29  diff: 2.0e-08      
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1233 iterations  logLik: -437.29  diff: 1.9e-08      
1234 iterations  logLik: -437.29  diff: 1.9e-08      
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1301 iterations  logLik: -437.29  diff: 1.4e-08      
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#> .. 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: -437.2898

# Parameter restriction
mf <- estimate(m, dt$response)
param(mf, index = TRUE)
#> PI :
#> (lc)
#>   class
#>              1           2           3
#>     0.3332 (1)  0.3543 (2)  0.3125 (3)
#> 
#> RHO :
#> (a)
#>         class
#> response            1            2            3
#>    1(V1)   0.9298 (4)  0.2053 (12)  0.8559 (20)
#>    2       0.0702 (5)  0.7947 (13)  0.1441 (21)
#>    1(V2)   0.8926 (6)  0.0851 (14)  1.0000 (22)
#>    2       0.1074 (7)  0.9149 (15)  0.0000 (23)
#>    1(V3)   0.8613 (8)  0.1205 (16)  0.1772 (24)
#>    2       0.1387 (9)  0.8795 (17)  0.8228 (25)
#>    1(V4)  1.0000 (10)  0.1049 (18)  0.1589 (26)
#>    2      0.0000 (11)  0.8951 (19)  0.8411 (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  0.3965  0.6035
#> 
#> RHO :
#> (a)
#>         class
#> response       1       2       3
#>    1(V1)  0.0000  0.2171  0.9344
#>    2      1.0000  0.7829  0.0656
#>    1(V2)  0.0000  0.2159  0.9186
#>    2      1.0000  0.7841  0.0814
#>    1(V3)  0.0000  0.1066  0.5679
#>    2      1.0000  0.8934  0.4321
#>    1(V4)  0.0000  0.0940  0.6341
#>    2      1.0000  0.9060  0.3659
#> 
#>    V1 V2 V3 V4
#> lc y1 y2 y3 y4

# Estimation control
estimate(m, dt$response, control = slcaControl(nrep = 3, verbose = TRUE))
#> Inital parameter test: 
#> 1 / 3  logLik: -437.4093 
#> 2 / 3  logLik: -437.2899 
#> 3 / 3  logLik: -437.4093 
#> 
#> 2th parameter set has been selected.
#> 
#> EM iteration begin.
#> 1 iterations  logLik: -437.29  diff: inf      
2 iterations  logLik: -437.29  diff: 1.2e-06      
3 iterations  logLik: -437.29  diff: 1.2e-06      
4 iterations  logLik: -437.29  diff: 1.2e-06      
5 iterations  logLik: -437.29  diff: 1.2e-06      
6 iterations  logLik: -437.29  diff: 1.2e-06      
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8 iterations  logLik: -437.29  diff: 1.2e-06      
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10 iterations  logLik: -437.29  diff: 1.1e-06      
11 iterations  logLik: -437.29  diff: 1.1e-06      
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#> .. done.
#> Structural Latent Variable Model
#> 
#> Latent variables (Root*):           
#>  Label: lc*
#> nclass: 3  
#> 
#> Measurement model:                            
#>  lc -> { y1, y2, y3, y4 }  a
#> 
#> LogLik: -437.2898
estimate(m, dt$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: -437.2898