Measuring the health of the Indian elderly: evidence from National Sample Survey data

Chen, Bradley; Mahal, Ajay

doi:10.1186/1478-7954-8-30

Population Health Metrics

Table 3 Test for differential response by region of residence

From: Measuring the health of the Indian elderly: evidence from National Sample Survey data

H⁰	Males				Females
	Rural		Urban		Rural		Urban
	Less than primary education	Primary education completed	Less than primary education	Primary education completed	Less than primary education	Primary education completed	Less than primary education	Primary education completed
Log likelihood: North	-2459.77	-391.29	-561.68438	-762.63	-2810.45	-79.89	-1183.61	-307.07
Log likelihood: East	-1874.81	-471.61	-377.78396	-600.70	-2102.21	-56.35	-801.69	-291.29
Log likelihood: South	-947.86396	-387.01	-394.37561	-661.10	-1320.54	-169.58	-876.94	-329.00
Log likelihood: West	-598.91288	-125.49	-228.73973	-586.81	-801.73	-18.70	-551.19	-330.72
Log likelihood sum (unrestricted model, L ^U)	-5881.35	-1375.40	-1562.58	-2611.23	-7034.94	-324.52	-3413.43	-1258.08
Log likelihood restricted model (L ^R)	-5910.92	-1390.14	-1577.21	-2639.0483	-7083.58	-347.71777	-3446.14	-1284.52
X ² -first stage test statistic: -2*(L ^R-L ^U)	59.14	29.49	29.25	55.64	97.28	46.39	65.41	52.88
Sample size	7694	1783	2144	3428	9465	476	4710	1759
P- value (24 degrees of freedom) ¹	8.4 × 10 ^-5	0.202	0.211	0.0003	8.5.8 × 10 ^-11	0.004	1.1 × 10 ^-5	0.0006
Log likelihood partially-restricted model (L ^Rα)	-5898.58	n.a.	n.a.	-26.18.29	-7067.62	-330.00	-3431.05	-1269.87
X ²-test statistic for cut-point differences: -2*( L ^Rα-L ^U)	34.46	n.a.	n.a.	14.13	65.36	10.95	35.24	23.59
P- value (6 degrees of freedom) ²	5.5 × 10 ^-6	n.a.	n.a.	0.028	3.7 × 10-12	0.090	3.9 × 10 ^-6	0.0006
X ²-test statistics for g (.): -2*( L ^R-L ^Rα)	24.68	n.a.	n.a.	41.51	31.92	35.44	30.17	29.29
P- value (18 degrees of freedom) ³	0.134	n.a.	n.a.	0.001	0.022	0.008	0.036	0.045

¹6 parameters for H^o (α) and 3 cut-points (τ) were estimated the unrestricted model for four subgroups (9 × 4 = 36); 6 parameters for H^o (α), 3 parameters for membership (θ) and 3 cut-points (τ) were estimated for the restricted model. The degree of freedom is equal to the difference in the number of estimated parameters between these two models (36-12 = 24).
² 30 parameters, including 6 parameters for H^o (α) for the four subgroups (6 × 4 = 24), 3 parameters for membership (θ) and 3 cut-points (τ) were estimated for the partially-restricted model. The degree of freedom is equal to the difference of number of estimated parameters between unrestricted and partially-restricted models (36-30 = 6).
³ The degree of freedom is equal to the difference of number of estimated parameters between partially-restricted models and restricted models (30-12 = 18).

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ISSN: 1478-7954

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