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 4 Test for differential response by gender

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

	Less than primary education				Primary education completed
	North	East	South	West	North	East	South	West
Rural
Log likelihood: Female	-2810.45	-2102.21	-1320.54	-801.73	-79.89	-56.35	-169.58	-18.70
Log likelihood: Male	-2459.77	-1874.81	-947.86	-598.91	-391.29	-471.61	-387.01	-125.49
Log likelihood sum (unrestricted model, L ^U)	-5270.22	-3977.02	-2268.41	-1400.64	-471.18	-527.96	-556.59	-144.19
Log likelihood restricted model (L ^R)	-5275.57	-3982.81	-2271.41	-1404.48	-474.22	-543.43	-558.48	-148.23
X ² -first stage test statistic: -2*( L ^R-L ^U)	10.70	11.59	6.01	7.68	6.08	30.95	3.78	8.09
Sample size	7185	4827	3113	2034	619	685	736	219
P- value (8 degrees of freedom) ¹	0.22	0.17	0.65	0.47	0.64	0.0001	0.88	0.43
Log likelihood partially-restricted model (L ^Rα)	n.a.	n.a.	n.a.	n.a.	n.a.	-535.07	n.a.	n.a.
X ²-test statistic for cut-point shift: -2*( L ^Rα-L ^U)	n.a.	n.a.	n.a.	n.a.	n.a.	14.22	n.a.	n.a.
P- value (2 degrees of freedom) ²	n.a.	n.a.	n.a.	n.a.	n.a.	0.001	n.a.	n.a.
X ²-test statistic for g (.) function: -2*( L ^R-L ^Rα)	n.a.	n.a.	n.a.	n.a.	n.a.	16.74	n.a.	n.a.
P- value (6 degrees of freedom) ³	n.a.	n.a.	n.a.	n.a.	n.a.	0.010	n.a.	n.a.
Urban
Log likelihood: Female	-1183.61	-801.69	-876.94	-551.19	-307.07	-291.29	-329.00	-330.72
Log likelihood: Male	-561.68	-377.78	-394.38	-228.74	-762.63	-600.70	-661.10	-586.81
Log likelihood sum (unrestricted model, L ^U)	-1745.30	-1179.47	-1271.32	-779.93	-1069.69	-891.99	-990.10	-917.53
Log likelihood restricted model (L ^R)	-1746.76	-1183.38	-1283.50	-784.23	-1071.20	-895.77	-993.93	-919.59
X ² -first stage test statistic: -2*( L ^R-L ^U)	2.92	7.83	24.37	8.58	3.01	7.57	7.67	4.13
Sample size	2406	1439	1866	1143	1471	1066	1474	1176
P- value (8 degrees of freedom) ¹	0.94	0.45	0.002	0.38	0.93	0.48	0.47	0.85
Log likelihood partially-restricted model (L ^Rα)	n.a.	n.a.	-1272.32	n.a.	n.a.	n.a.	n.a.	n.a.
X ²-test statistic for cut-point shift: -2*( L ^Rα-L ^U)	n.a.	n.a.	2.00	n.a.	n.a.	n.a.	n.a.	n.a.
P- value (2 degrees of freedom) ²	n.a.	n.a.	0.368	n.a.	n.a.	n.a.	n.a.	n.a.
X ²-test statistic for g (.) function: -2*( L ^R-L ^Rα)	n.a.	n.a.	22.37	n.a.	n.a.	n.a.	n.a.	n.a.
P- value (6 degrees of freedom) ³	n.a.	n.a.	0.0010	n.a.	n.a.	n.a.	n.a.	n.a.

¹6 parameters for H^o (α) and 3 cut-points (τ) were estimated the unrestricted model for two subgroups (9 × 2 = 18); 6 parameters for H^o (α), 1 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 (18-10 = 8).
² 16 parameters, including 6 parameters for H^o (α) for the two subgroups (6 × 2 = 12), 1 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 (18-16 = 2).
³ The degree of freedom is equal to the difference of number of estimated parameters between partially-restricted models and restricted models (16-10 = 6).

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ISSN: 1478-7954

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