^{ 1}Department of Epidemiology and Biostatistics, School of Public Health, Tehran University of Medical Sciences, Tehran, Iran
^{ 2}Iranian National Center for Addiction Studies, Tehran University of Medical Sciences, Tehran, Iran
^{ 3}Addiction and High Risk Behavior Research Center, Iran University of Medical Sciences, Tehran, Iran
^{ 4}Department of Psychiatry, Iran University of Medical Sciences, Tehran, Iran
^{ 5}Psychiatry and Psychology Research Center, Tehran University of Medical Sciences, Tehran, Iran
^{ 6}Department of Psychiatry, Tehran University of Medical Sciences, Tehran, Iran
^{ 7}Department 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
^{ 8}Department 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.
^{} 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.
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^{1} | 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 |
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)^{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) |
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.