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. Author manuscript; available in PMC: 2014 Jul 15.
Published in final edited form as: Psychol Med. 2011 Apr 18;41(11):2411–2421. doi: 10.1017/S0033291711000547

Table 2.

Fit indices and class statistics for latent class and factor mixture models

Dataset
name		 Class
no.		 Partially invariant FMMd
 Latent class models
pars BIC LMR VLMR BLRT logL pars BIC LMR VLMR BLRT logL
ECA 1 22 4712.24 – – – −2291.65 11 4825.30 – – – −2380.42
  N=351 2 35 4700.18 0.0014 0.0016 0.0000 −2247.53 23 4687.20 0.0000 0.0000 0.0000 −2276.20
3 48 4745.26 0.3201 0.3272 0.0698 −2231.28 35 4704.23 0.1008 0.0968 0.0000 −2249.55
4 61 4796.23 0.6741 0.6773 0.6000 −2215.57 47 4737.31 0.0496 0.0470 0.0100 −2230.93
NCS 1 26 5349.07 – – – −2598.02 13 5559.93 – – – −2741.70
  N=360 2 41 5387.69 0.3230 0.3171 0.0000 −2573.18 27 5360.86 0.0000 0.0000 0.0000 −2600.97
3 56 5443.85 0.9241 0.9229 0.5000 −2557.12 41 5409.38 0.2911 0.2854 0.1304 −2584.02
4 71 5494.17 1.0 1.0 0.6667 −2538.13 55 5459.58 0.6311 0.6269 0.1500 −2567.92
NESARC-1b 1 26 33560.73 – – – −16675.90 13 35216.22 – – – −17557.81
  N=2294 2 41 33280.46 0.0003 0.0003 0.000 −16476.39 27 33409.22 0.0000 0.0000 0.0000 −16600.15
3 56 33244.28 0.0504 0.0492 0.000 −16407.15 41 33301.51 0.0027 0.0026 0.0000 −16492.13
4 71 33298.49 0.0357 0.0348 0.000 −16378.42 55 33301.22 0.0884 0.0865 0.0000 −16437.81
NESARC-1c 1 26 4639.29 – – – −2244.22 13 4825.18 – – – −2374.88
  N=331 2 41 4648.24 0.1592 0.1554 0.000 −2205.18 27 4619.70 0.0000 0.0000 0.0000 −2231.52
3 56 4700.44 0.3951 0.3591 0.150 −2187.76 41 4651.54 0.3395 0.3341 0.0000 −2206.83
4 71 4741.92 0.3732 0.3703 0.010 −2164.98 55 4696.48 0.5695 0.5666 0.0638 −2188.68
VATSPSUD 1 26 1353.80 – – – −619.77 13 1345.34 – – – −644.11
  N=102 2 41 1366.61 0.1332 0.1298 0.000 −593.22 27 1353.07 0.1134 0.1078 0.0000 −617.21
3 56 1400.23 0.2466 0.2425 0.1100 −577.07 41 1372.51 0.3087 0.3017 0.0000 −596.17
4a 71 55 1408.99 0.2431 0.2381 0.6850 −583.65
CNCPSb 1 26 16411.63 – – – −8114.10 13 16710.44 – – – −8309.36
  N=1159 2 41 16328.44 0.0002 0.0001 0.0000 −8019.59 27 16409.70 0.0000 0.0000 0.0000 −8109.61
3 56 16370.71 0.0202 0.0193 0.0000 −7987.81 41 16356.43 0.0008 0.0008 0.0000 −8033.58
4 71 16437.01 0.0000 0.0000 0.3333 −7968.04 55 16388.59 0.1034 0.1008 0.0000 −8000.28

FMM, Factor mixture modeling; LMR, Lo-Mendell-Rubin likelihood ratio test ; VLMR, Vuong-Lo-Mendell-Rubin likelihood ratio test ; ECA, Epidemiologic Catchment Area; NCS, National Comorbidity Study; VATSPSUD, Virginia Adult Twin Study of Psychiatric and Substance Use Disorders.

a

The standard errors of the model parameter estimates could not be computed, therefore the model did not converge. Model non-convergence was not related to exceeding the maximum number of iterations, but rather it was related to difficulties in optimizing the fitting function.

b

The fully non-invariant, two class model was the best fitting for National Epidemiologic Survey on Alcohol and Related Conditions (NESARC) and Cross-National Collaborative Panic Study, Second Phase Investigators (CNCPS). The Bayesian Information Criterion (BIC) and bootstrap likelihood ratio test (BLRT) values are reported in Results section.

c

NESARC Wave 1 (NESARC-1) respondents with panic disorder/panic disorder with agoraphobia onset in past 12 months who sought treatment.

d

Partially invariant models where factor loadings were constrained to be equal across groups; intercepts and residual variances free ; factor means fixed at zero in all groups.