Table 3. Open in new tab Estimates for...

		\|$P(R_i = 1) = 1.0$\|	\|$P(R_i = 1) = 0.25$\|
	2-state model
\|$\log \lambda_{12}$\|	0.0000	−0.0008	0.0261	0.0269	−0.0007	0.0263	0.0271
\|$\log \lambda_{21}$\|	1.6094	0.0018	0.0311	0.0299	0.0014	0.0323	0.0308
\|$\log \alpha_1$\|	−0.6931	−0.0009	0.0220	0.0220	0.0039	0.0399	0.0402
\|$\log \alpha_2$\|	1.6094	−0.0003	0.0212	0.0208	−0.0008	0.0287	0.0283
\|$\log \alpha_1^S$\|	0.6931	0.0000	0.0112	0.0115	−0.0013	0.0133	0.0144
\|$\log \alpha_2^S$\|	0.6931	−0.0005	0.0199	0.0203	−0.0010	0.0255	0.0267
	3-state model
\|$\log \lambda_{12}$\|	0.0000	−0.0003	0.0314	0.0320	−0.0002	0.0315	0.0320
\|$\log \lambda_{23}$\|	1.6094	0.0030	0.0377	0.0380	0.0024	0.0379	0.0392
\|$\log \alpha_1$\|	−0.6931	−0.0021	0.0430	0.0451	−0.0006	0.0777	0.0828
\|$\log \alpha_2$\|	1.6094	0.0000	0.0379	0.0380	−0.0023	0.0486	0.0505
\|$\log \alpha_3$\|	1.6094	−0.0004	0.0073	0.0073	−0.0007	0.0099	0.0099
\|$\log \alpha_{1}^S$\|	0.6931	−0.0007	0.0212	0.0210	−0.0015	0.0289	0.0272
\|$\log \alpha_{2}^S$\|	0.6931	−0.0027	0.0518	0.0504	−0.0015	0.0820	0.0818
\|$\log \alpha_{3}^S$\|	0.6931	−0.0009	0.0122	0.0117	−0.0004	0.0215	0.0206

|$P(R_i = 1) = 1.0$|

|$P(R_i = 1) = 0.25$|

Value

EBIAS

ESE

ASE

EBIAS

ESE

ASE

2-state model

|$\log \lambda_{12}$|

0.0000

−0.0008

0.0261

0.0269

−0.0007

0.0263

0.0271

|$\log \lambda_{21}$|

1.6094

0.0018

0.0311

0.0299

0.0014

0.0323

0.0308

|$\log \alpha_1$|

−0.6931

−0.0009

0.0220

0.0039

0.0399

0.0402

|$\log \alpha_2$|

1.6094

−0.0003

0.0212

0.0208

−0.0008

0.0287

0.0283

|$\log \alpha_1^S$|

0.6931

0.0000

0.0112

0.0115

−0.0013

0.0133

0.0144

|$\log \alpha_2^S$|

0.6931

−0.0005

0.0199

0.0203

−0.0010

0.0255

0.0267

3-state model

|$\log \lambda_{12}$|

0.0000

−0.0003

0.0314

0.0320

−0.0002

0.0315

0.0320

|$\log \lambda_{23}$|

1.6094

0.0030

0.0377

0.0380

0.0024

0.0379

0.0392

|$\log \alpha_1$|

−0.6931

−0.0021

0.0430

0.0451

−0.0006

0.0777

0.0828

|$\log \alpha_2$|

1.6094

0.0000

0.0379

0.0380

−0.0023

0.0486

0.0505

|$\log \alpha_3$|

1.6094

−0.0004

0.0073

−0.0007

0.0099

|$\log \alpha_{1}^S$|

0.6931

−0.0007

0.0212

0.0210

−0.0015

0.0289

0.0272

|$\log \alpha_{2}^S$|

0.6931

−0.0027

0.0518

0.0504

−0.0015

0.0820

0.0818

|$\log \alpha_{3}^S$|

0.6931

−0.0009

0.0122

0.0117

−0.0004

0.0215

0.0206

		\|$P(R_i = 1) = 1.0$\|	\|$P(R_i = 1) = 0.25$\|
	2-state model
\|$\log \lambda_{12}$\|	0.0000	−0.0008	0.0261	0.0269	−0.0007	0.0263	0.0271
\|$\log \lambda_{21}$\|	1.6094	0.0018	0.0311	0.0299	0.0014	0.0323	0.0308
\|$\log \alpha_1$\|	−0.6931	−0.0009	0.0220	0.0220	0.0039	0.0399	0.0402
\|$\log \alpha_2$\|	1.6094	−0.0003	0.0212	0.0208	−0.0008	0.0287	0.0283
\|$\log \alpha_1^S$\|	0.6931	0.0000	0.0112	0.0115	−0.0013	0.0133	0.0144
\|$\log \alpha_2^S$\|	0.6931	−0.0005	0.0199	0.0203	−0.0010	0.0255	0.0267
	3-state model
\|$\log \lambda_{12}$\|	0.0000	−0.0003	0.0314	0.0320	−0.0002	0.0315	0.0320
\|$\log \lambda_{23}$\|	1.6094	0.0030	0.0377	0.0380	0.0024	0.0379	0.0392
\|$\log \alpha_1$\|	−0.6931	−0.0021	0.0430	0.0451	−0.0006	0.0777	0.0828
\|$\log \alpha_2$\|	1.6094	0.0000	0.0379	0.0380	−0.0023	0.0486	0.0505
\|$\log \alpha_3$\|	1.6094	−0.0004	0.0073	0.0073	−0.0007	0.0099	0.0099
\|$\log \alpha_{1}^S$\|	0.6931	−0.0007	0.0212	0.0210	−0.0015	0.0289	0.0272
\|$\log \alpha_{2}^S$\|	0.6931	−0.0027	0.0518	0.0504	−0.0015	0.0820	0.0818
\|$\log \alpha_{3}^S$\|	0.6931	−0.0009	0.0122	0.0117	−0.0004	0.0215	0.0206

Table 3.

Open in new tab

Estimates for the two- and three-state models obtained from likelihood (3.5) with complete and incomplete information on the nature of visit; |$E = 5$|⁠, |$n = 1000$|⁠, |$nsim = 500$|

		\|$P(R_i = 1) = 1.0$\|			\|$P(R_i = 1) = 0.25$\|
	Value	EBIAS	ESE	ASE	EBIAS	ESE	ASE
	2-state model
\|$\log \lambda_{12}$\|	0.0000	−0.0008	0.0261	0.0269	−0.0007	0.0263	0.0271
\|$\log \lambda_{21}$\|	1.6094	0.0018	0.0311	0.0299	0.0014	0.0323	0.0308
\|$\log \alpha_1$\|	−0.6931	−0.0009	0.0220	0.0220	0.0039	0.0399	0.0402
\|$\log \alpha_2$\|	1.6094	−0.0003	0.0212	0.0208	−0.0008	0.0287	0.0283
\|$\log \alpha_1^S$\|	0.6931	0.0000	0.0112	0.0115	−0.0013	0.0133	0.0144
\|$\log \alpha_2^S$\|	0.6931	−0.0005	0.0199	0.0203	−0.0010	0.0255	0.0267
	3-state model
\|$\log \lambda_{12}$\|	0.0000	−0.0003	0.0314	0.0320	−0.0002	0.0315	0.0320
\|$\log \lambda_{23}$\|	1.6094	0.0030	0.0377	0.0380	0.0024	0.0379	0.0392
\|$\log \alpha_1$\|	−0.6931	−0.0021	0.0430	0.0451	−0.0006	0.0777	0.0828
\|$\log \alpha_2$\|	1.6094	0.0000	0.0379	0.0380	−0.0023	0.0486	0.0505
\|$\log \alpha_3$\|	1.6094	−0.0004	0.0073	0.0073	−0.0007	0.0099	0.0099
\|$\log \alpha_{1}^S$\|	0.6931	−0.0007	0.0212	0.0210	−0.0015	0.0289	0.0272
\|$\log \alpha_{2}^S$\|	0.6931	−0.0027	0.0518	0.0504	−0.0015	0.0820	0.0818
\|$\log \alpha_{3}^S$\|	0.6931	−0.0009	0.0122	0.0117	−0.0004	0.0215	0.0206

		\|$P(R_i = 1) = 1.0$\|			\|$P(R_i = 1) = 0.25$\|
	Value	EBIAS	ESE	ASE	EBIAS	ESE	ASE
	2-state model
\|$\log \lambda_{12}$\|	0.0000	−0.0008	0.0261	0.0269	−0.0007	0.0263	0.0271
\|$\log \lambda_{21}$\|	1.6094	0.0018	0.0311	0.0299	0.0014	0.0323	0.0308
\|$\log \alpha_1$\|	−0.6931	−0.0009	0.0220	0.0220	0.0039	0.0399	0.0402
\|$\log \alpha_2$\|	1.6094	−0.0003	0.0212	0.0208	−0.0008	0.0287	0.0283
\|$\log \alpha_1^S$\|	0.6931	0.0000	0.0112	0.0115	−0.0013	0.0133	0.0144
\|$\log \alpha_2^S$\|	0.6931	−0.0005	0.0199	0.0203	−0.0010	0.0255	0.0267
	3-state model
\|$\log \lambda_{12}$\|	0.0000	−0.0003	0.0314	0.0320	−0.0002	0.0315	0.0320
\|$\log \lambda_{23}$\|	1.6094	0.0030	0.0377	0.0380	0.0024	0.0379	0.0392
\|$\log \alpha_1$\|	−0.6931	−0.0021	0.0430	0.0451	−0.0006	0.0777	0.0828
\|$\log \alpha_2$\|	1.6094	0.0000	0.0379	0.0380	−0.0023	0.0486	0.0505
\|$\log \alpha_3$\|	1.6094	−0.0004	0.0073	0.0073	−0.0007	0.0099	0.0099
\|$\log \alpha_{1}^S$\|	0.6931	−0.0007	0.0212	0.0210	−0.0015	0.0289	0.0272
\|$\log \alpha_{2}^S$\|	0.6931	−0.0027	0.0518	0.0504	−0.0015	0.0820	0.0818
\|$\log \alpha_{3}^S$\|	0.6931	−0.0009	0.0122	0.0117	−0.0004	0.0215	0.0206

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