A joint latent class model for classifying severely hemorrhaging trauma patients

Rahbar, Mohammad H.; Ning, Jing; Choi, Sangbum; Piao, Jin; Hong, Chuan; Huang, Hanwen; del Junco, Deborah J.; Fox, Erin E.; Rahbar, Elaheh; Holcomb, John B.

doi:10.1186/s13104-015-1563-4

BMC Research Notes

Table 2 Summary statistics for the simulation studies for the two-component LC mixture model under different scenarios (\(\sigma =0.5,1,\) and 2) and two sample sizes (n = 250 and 500)

From: A joint latent class model for classifying severely hemorrhaging trauma patients

Scenario	Parameter	True	n = 250				n = 500
Scenario	Parameter	True	Est	SSE	ASE	MSE	Est	SSE	ASE	MSE
\(\sigma =0.5\)	\(\alpha _0\)	0.5	0.514	0.201	0.201	0.040	0.502	0.139	0.133	0.017
	\(\alpha _1\)	1.0	1.027	0.232	0.226	0.052	1.009	0.157	0.155	0.024
	\(\beta _0^{(1)}\)	2.708	2.708	0.071	0.073	0.005	2.710	0.050	0.050	0.002
	\(\beta _1^{(1)}\)	−1.0	−1.002	0.055	0.054	0.003	−1.002	0.038	0.037	0.001
	\(\beta _2^{(1)}\)	1.0	0.998	0.101	0.105	0.011	0.995	0.071	0.071	0.005
	\(\beta _0^{(2)}\)	1.609	1.605	0.141	0.133	0.017	1.610	0.096	0.094	0.009
	\(\beta _1^{(2)}\)	1.0	1.001	0.094	0.090	0.008	1.001	0.062	0.062	0.004
	\(\beta _2^{(2)}\)	−1.0	−1.001	0.156	0.151	0.022	−0.999	0.108	0.108	0.012
	\(\gamma _0^{(1)}\)	1.0	1.011	0.325	0.322	0.104	1.008	0.225	0.215	0.046
	\(\gamma _1^{(1)}\)	−1.0	−1.005	0.405	0.398	0.158	−1.012	0.281	0.270	0.073
	\(\gamma _0^{(2)}\)	−1.0	−1.015	0.389	0.388	0.150	−1.024	0.268	0.261	0.068
	\(\gamma _1^{(2)}\)	1.0	1.010	0.500	0.487	0.237	1.034	0.345	0.330	0.110
	\(\log (\sigma )\)	−0.693	−0.718	0.032	0.063	0.005	−0.703	0.022	0.044	0.002
\(\sigma =1\)	\(\alpha _0\)	0.5	0.522	0.272	0.267	0.072	0.507	0.187	0.185	0.034
	\(\alpha _1\)	1.0	1.034	0.281	0.283	0.079	1.009	0.190	0.183	0.034
	\(\beta _0^{(1)}\)	2.708	2.709	0.149	0.153	0.023	2.706	0.104	0.104	0.011
	\(\beta _1^{(1)}\)	−1.0	−1.006	0.112	0.113	0.012	−0.998	0.077	0.077	0.006
	\(\beta _2^{(1)}\)	1.0	1.001	0.206	0.203	0.043	1.003	0.147	0.145	0.021
	\(\beta _0^{(2)}\)	1.609	1.577	0.276	0.277	0.078	1.601	0.188	0.194	0.037
	\(\beta _1^{(2)}\)	1.0	0.986	0.185	0.182	0.033	1.002	0.124	0.121	0.014
	\(\beta _2^{(2)}\)	−1.0	−0.980	0.298	0.301	0.091	−0.995	0.206	0.213	0.045
	\(\gamma _0^{(1)}\)	1.0	1.005	0.366	0.348	0.121	1.005	0.253	0.251	0.063
	\(\gamma _1^{(1)}\)	−1.0	−1.003	0.443	0.415	0.172	−1.003	0.307	0.298	0.089
	\(\gamma _0^{(2)}\)	−1.0	−1.014	0.44	0.427	0.182	−1.012	0.308	0.310	0.096
	\(\gamma _1^{(2)}\)	1.0	1.016	0.558	0.516	0.266	1.021	0.385	0.400	0.160
	\(\log (\sigma )\)	0.0	−0.027	0.065	0.065	0.005	−0.012	0.045	0.042	0.002
\(\sigma =2\)	\(\alpha _0\)	0.5	0.568	0.505	0.538	0.294	0.524	0.372	0.388	0.151
	\(\alpha _1\)	1.0	1.108	0.406	0.431	0.198	1.046	0.278	0.289	0.085
	\(\beta _0^{(1)}\)	2.708	2.749	0.336	0.350	0.124	2.717	0.239	0.240	0.057
	\(\beta _1^{(1)}\)	−1.0	−1.051	0.262	0.266	0.073	−1.023	0.188	0.193	0.037
	\(\beta _2^{(1)}\)	1.0	1.020	0.436	0.450	0.203	0.996	0.311	0.322	0.104
	\(\beta _0^{(2)}\)	1.609	1.520	0.599	0.698	0.496	1.576	0.409	0.438	0.192
	\(\beta _1^{(2)}\)	1.0	0.951	0.406	0.453	0.207	0.971	0.271	0.284	0.081
	\(\beta _2^{(2)}\)	−1.0	−1.036	0.596	0.615	0.380	−1.008	0.418	0.422	0.178
	\(\gamma _0^{(1)}\)	1.0	1.001	0.483	0.458	0.209	1.017	0.345	0.313	0.098
	\(\gamma _1^{(1)}\)	−1.0	−1.014	0.564	0.532	0.284	−1.023	0.397	0.359	0.129
	\(\gamma _0^{(2)}\)	−1.0	−0.955	0.565	0.533	0.286	−1.002	0.404	0.395	0.156
	\(\gamma _1^{(2)}\)	1.0	0.962	0.686	0.652	0.427	1.004	0.484	0.476	0.227
	\(\log (\sigma )\)	0.693	0.652	0.130	0.067	0.006	0.674	0.092	0.047	0.003

SSE sample standard errors, ASE average of estimated standard errors, MSE mean squared error

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