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1Department of Epidemiology and Biostatistics, School of Public Health, Tehran University of Medical Sciences, Tehran, Iran
2Iranian National Center for Addiction Studies, Tehran University of Medical Sciences, Tehran, Iran
3Addiction and High Risk Behavior Research Center, Iran University of Medical Sciences, Tehran, Iran
4Department of Psychiatry, Iran University of Medical Sciences, Tehran, Iran
5Psychiatry and Psychology Research Center, Tehran University of Medical Sciences, Tehran, Iran
6Department of Psychiatry, Tehran University of Medical Sciences, Tehran, Iran
7Department for Mental Health and Substance Use, Iranian Research Center for HIV/AIDS, Iranian Institute for Reduction of High-Risk Behaviors, Tehran University of Medical Sciences, Tehran, Iran
8Department of Epidemiology, School of Public Health, Iran University of Medical Sciences, Tehran, Iran
©2016, Korean Society of Epidemiology
This is an open-access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Model | Degrees of freedom | No. of parameters | Deviance1 | p-value of likelihood ratio test | BIC + [2*ln (likelihood of saturated model)]2 | Prevalence (adjusted for classification error, %) |
---|---|---|---|---|---|---|
Model 0 (AY, BY, GY) | 0 | 8 | 1.70 | 0.99 | 66.44 | 6.14 |
Model 1 (AY, BY, CY, GY) | 6 | 10 | 50.45 | <0.001 | 131.38 | 5.56 |
Model 2: same as model 1 + (AB) | 5 | 11 | 40.92 | 0.006 | 129.94 | 7.31 |
Model 3: same as model 1 +(BC) | 5 | 11 | 50.37 | <0.001 | 139.39 | 5.52 |
Model 4: same as model 1 + (AC) | 5 | 11 | 19.90 | 0.53 | 108.92 | 6.18 |
Model 5: same as model 1 + (AC, BC) | 4 | 12 | 15.77 | 0.73 | 112.88 | 6.23 |
Model 6: same as model 1 +(AB, BC) | 4 | 12 | 38.84 | 0.007 | 135.95 | 7.98 |
Model 7: same as model 1 +(AC, AB) | 4 | 12 | 7.43 | 1.00 | 104.54 | 28.87 |
Model 8: same as model 1 +(AC, BC, AB) | 3 | 13 | 3.77 | 1.00 | 108.98 | 42.17 |
Model 9: same as model 1 +(AG, BG, CG) | 3 | 13 | 9.22 | 0.97 | 114.42 | 3.55 |
Model 10: same as model 9+(AC, AB) | 1 | 15 | 20.37 | 0.25 | 141.76 | 49.99 |
IranMHS, Iranian Mental Health Survey; BIC, Bayesian information criterion.
1 -2*(ln[likelihood of current model] – ln[likelihood of saturated model]).
2 The reason for replacing BIC with “BIC [2*ln(likelihood of saturated model)]” is explained in Appendix 3.
Gender |
Indicator A |
Indicator B |
Indicator C |
LCLL (2-indicator)1 |
LCLL (3-indicator)1 |
|||||
---|---|---|---|---|---|---|---|---|---|---|
n | Prevalence (95% CI) | n | Prevalence (95% CI) | n | Prevalence (95% CI) | n | Prevalence (95% CI) | n | Prevalence (95% CI) | |
Men | 3,366 | 7.22 (6.39, 8.14) | 1,447 | 12.78 (11.16, 14.61) | 3,369 | 4.45 (3.80, 5.20) | 1,446 | 12.69 (10.81, 14.67) | 1,446 | 40.69 (10.04, 78.86) |
Women | 4,475 | 0.54 (0.36, 0.80) | 1,825 | 2.19 (1.61,2.97) | 4,475 | 0.49 (0.32, 0.75) | 1,824 | 0.94 (0.43, 1.61) | 1,824 | 4.73 (1.30, 9.11) |
Total | 7,841 | 3.40 (3.03, 3.83) | 3,272 | 6.88 (6.06, 7.80) | 7,844 | 2.19 (1.89, 2.54) | 3,270 | 6.14 (5.17, 7.14) | 3,270 | 28.87 (10.45, 43.74) |
Indicator A | Indicator C |
Total | |||
---|---|---|---|---|---|
Yes | No | ||||
Yes | Indicator B | Yes | 44 (37.6) | 64 (54.7) | 108 (92.3) |
No | 1 (0.9) | 8 (6.8) | 9 (7.7) | ||
Total | 45 (38.5) | 72 (61.5) | 117 (100) | ||
No | Indicator B | Yes | 3 (0.1) | 114 (3.6) | 117 (3.7) |
No | 18 (0.6) | 3,018 (95.7) | 3,036 (96.3) | ||
Total | 21 (0.7) | 3,132 (99.3) | 3,153 (100) | ||
Total | Indicator B | Yes | 47 (1.4) | 178 (5.4) | 225 (6.9) |
No | 19 (0.6) | 3,026 (92.5) | 3,045 (93.1) | ||
Total | 66 (2.0) | 3,204 (98.0) | 3,270 (100) |
Model | Degrees of freedom | No. of parameters | Deviance |
p-value of likelihood ratio test | BIC + [2*ln (likelihood of saturated model)] |
Prevalence (adjusted for classification error, %) |
---|---|---|---|---|---|---|
Model 0 (AY, BY, GY) | 0 | 8 | 1.70 | 0.99 | 66.44 | 6.14 |
Model 1 (AY, BY, CY, GY) | 6 | 10 | 50.45 | <0.001 | 131.38 | 5.56 |
Model 2: same as model 1 + (AB) | 5 | 11 | 40.92 | 0.006 | 129.94 | 7.31 |
Model 3: same as model 1 +(BC) | 5 | 11 | 50.37 | <0.001 | 139.39 | 5.52 |
Model 4: same as model 1 + (AC) | 5 | 11 | 19.90 | 0.53 | 108.92 | 6.18 |
Model 5: same as model 1 + (AC, BC) | 4 | 12 | 15.77 | 0.73 | 112.88 | 6.23 |
Model 6: same as model 1 +(AB, BC) | 4 | 12 | 38.84 | 0.007 | 135.95 | 7.98 |
Model 7: same as model 1 +(AC, AB) | 4 | 12 | 7.43 | 1.00 | 104.54 | 28.87 |
Model 8: same as model 1 +(AC, BC, AB) | 3 | 13 | 3.77 | 1.00 | 108.98 | 42.17 |
Model 9: same as model 1 +(AG, BG, CG) | 3 | 13 | 9.22 | 0.97 | 114.42 | 3.55 |
Model 10: same as model 9+(AC, AB) | 1 | 15 | 20.37 | 0.25 | 141.76 | 49.99 |
Indicator | By LCLL model with 2 indicators (model 0) |
By LCLL model with 3 indicators (model 7) |
||
---|---|---|---|---|
Sensitivity (95% CI) | Specificity (95% CI) | Sensitivity (95% CI) | Specificity (95% CI) | |
A | 58.29 (49.63, 67.53) | 100.00 (reference) | 12.39 (7.65, 34.45) | 100.00 (reference) |
B | 92.32 (87.13, 96.82) | 98.70 (98.01,99.38) | 20.84 (13.57, 54.89) | 98.79 (98.13, 99.40) |
C | - | - | 6.77 (4.03, 18.43) | 99.91 (99.67, 100.00) |
Gender | Indicator A |
Indicator B |
Indicator C |
LCLL (2-indicator) |
LCLL (3-indicator) |
|||||
---|---|---|---|---|---|---|---|---|---|---|
n | Prevalence (95% CI) | n | Prevalence (95% CI) | n | Prevalence (95% CI) | n | Prevalence (95% CI) | n | Prevalence (95% CI) | |
Men | 3,366 | 7.22 (6.39, 8.14) | 1,447 | 12.78 (11.16, 14.61) | 3,369 | 4.45 (3.80, 5.20) | 1,446 | 12.69 (10.81, 14.67) | 1,446 | 40.69 (10.04, 78.86) |
Women | 4,475 | 0.54 (0.36, 0.80) | 1,825 | 2.19 (1.61,2.97) | 4,475 | 0.49 (0.32, 0.75) | 1,824 | 0.94 (0.43, 1.61) | 1,824 | 4.73 (1.30, 9.11) |
Total | 7,841 | 3.40 (3.03, 3.83) | 3,272 | 6.88 (6.06, 7.80) | 7,844 | 2.19 (1.89, 2.54) | 3,270 | 6.14 (5.17, 7.14) | 3,270 | 28.87 (10.45, 43.74) |
Values are presented as number (%).
IranMHS, Iranian Mental Health Survey; BIC, Bayesian information criterion. -2*(ln[likelihood of current model] – ln[likelihood of saturated model]). The reason for replacing BIC with “BIC [2*ln(likelihood of saturated model)]” is explained in
F195% CIs calculated using non-parametric bootstrapping with 500 iterations. LCLL, latent class log-linear; CI, confidence interval.
LCLL, latent class log-linear; CI, confidence interval. 95% CIs calculated using non-parametric bootstrapping with 500 iterations.