Table 3.
Study 1: Fit indices for LCA models with different numbers of classes under each measurement version.
| Version 1 | Sample 1x | Sample 1y | |||||||
|---|---|---|---|---|---|---|---|---|---|
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| K | Parameters | LL | BIC | LMR | LMR p.val | LL | BIC | LMR | LMR p.val |
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| 1 | 18 | −3243.53 | 6595.96 | NA | NA | −3212.3 | 6532.67 | NA | NA |
| 2 | 37 | −2803.87 | 5831.57 | 879.334 | 0.0002 | −2693.38 | 5608.89 | 1037.85 | <.0001 |
| 3 | 56 | −2678.06 | 5694.91 | 251.611 | 0.001 | −2592.6 | 5521.42 | 201.545 | 0.2465 |
| 4 | 75 | −2621.27 | 5696.27 | 113.581 | 0.0053 | −2548.97 | 5548.23 | 87.267 | 0.2487 |
| 5 | 94 | −2585.74 | 5740.16 | 71.055 | 0.241 | −2507.43 | 5579.23 | 83.077 | 0.4613 |
| 6 | 113 | −2561.03 | 5805.68 | 49.423 | 0.4393 | −2479.25 | 5636.95 | 56.352 | 0.254 |
| 7 | 132 | −2538.57 | 5875.71 | 44.921 | 0.4845 | −2456.58 | 5705.67 | 45.35 | 0.7603 |
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| Version 2 | Sample 2x | Sample 2y | |||||||
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| K | Parameters | LL | BIC | LMR | LMR p.val | LL | BIC | LMR | LMR p.val |
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| 1 | 18 | −3644.5 | 7397.41 | NA | NA | −3600.69 | 7310.48 | NA | NA |
| 2 | 37 | −3022.69 | 6268.26 | 1243.6 | <.0001 | −3014.34 | 6252.96 | 1172.69 | <.0001 |
| 3 | 56 | −2871 | 6079.31 | 303.393 | 0.0578 | −2887.87 | 6115.17 | 252.954 | 0.011 |
| 4 | 75 | −2808.58 | 6068.91 | 124.84 | 0.0418 | −2815.92 | 6086.46 | 143.883 | <.0001 |
| 5 | 94 | −2757.86 | 6081.92 | 101.439 | 0.0359 | −2772.45 | 6114.67 | 86.949 | 0.0006 |
| 6 | 113 | −2723.27 | 6127.19 | 69.179 | 0.1838 | −2741.71 | 6168.36 | 61.48 | 0.8012 |
| 7 | 132 | −2693.2 | 6181.49 | 60.146 | 0.3856 | −2711.21 | 6222.53 | 60.799 | 0.1744 |
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| Version 3 | Sample 3x | Sample 3y | |||||||
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| K | Parameters | LL | BIC | LMR | LMR p.val | LL | BIC | LMR | LMR p.val |
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| 1 | 18 | −3021.04 | 6150.84 | NA | NA | −3079.64 | 6267.18 | NA | NA |
| 2 | 37 | −2491.42 | 5206.41 | 1059.24 | <.0001 | −2488.04 | 5197.86 | 1183.2 | <.0001 |
| 3 | 56 | −2369.44 | 5077.27 | 243.946 | 0.0076 | −2360.95 | 5057.57 | 254.181 | 0.0021 |
| 4 | 75 | −2312.36 | 5077.92 | 114.16 | 0.0042 | −2311.36 | 5072.27 | 99.177 | 0.0006 |
| 5 | 94 | −2280.97 | 5129.96 | 62.779 | 0.7179 | −2280.57 | 5124.57 | 61.586 | 0.0812 |
| 6 | 113 | −2246.75 | 5176.32 | 68.446 | 0.1493 | −2250.85 | 5179.01 | 57.273 | 0.9061 |
| 7 | 132 | −2224.82 | 5247.27 | 43.864 | 0.2427 | −2223.8 | 5238.81 | 55.908 | 1 |
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| Version 4 | Sample 4x | Sample 4y | |||||||
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| K | Parameters | LL | BIC | LMR | LMR p.val | LL | BIC | LMR | LMR p.val |
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| 1 | 18 | −2334.85 | 4778.08 | NA | NA | −2299.78 | 4708.5 | NA | NA |
| 2 | 37 | −1851.77 | 3926.31 | 966.164 | <.0001 | −1882.04 | 3988 | 835.487 | <.0001 |
| 3 | 56 | −1767.44 | 3871.855 | 168.653 | 0.0047 | −1779.99 | 3898.89 | 204.097 | <.0001 |
| 4 | 75 | −1724.56 | 3900.69 | 85.564 | 0.0681 | −1748.11 | 3950.12 | 63.767 | 0.2147 |
| 5 | 94 | −1698.87 | 3963.71 | 51.378 | 0.2086 | −1726.81 | 4022.51 | 42.592 | 0.3062 |
| 6 | 113 | −1674.3 | 4028.97 | 49.139 | 0.2814 | −1705.88 | 4095.65 | 43.381 | 1 |
| 7 | 132 | −1654.68 | 4104.14 | 39.224 | 0.3878 | −1688.91 | 4176.7 | 35.234 | 0.6435 |
Note: LL = loglikelihood; BIC = Bayesian Information Criterion; LMR = Lo Mendell Rubin test statistic testing the null hypothesis that a model with K – 1 classes fits as well as a model with K classes; LMR p. val = the p value for the LMR statistic. Entries corresponding to the value of K favored by a given fit index are in bold.