Fitting parametric random effects models in very large data sets with application to VHA national data

Gebregziabher, Mulugeta; Egede, Leonard; Gilbert, Gregory E; Hunt, Kelly; Nietert, Paul J; Mauldin, Patrick

doi:10.1186/1471-2288-12-163

BMC Medical Research Methodology

Table 3 Parameter estimates (95% CI), standard errors for intercept, race and comorbidity in general linear mixed model (GLMM ^† ) for binary HbA1c using sampling and random effects meta-regression, in for veterans with type 2 diabetes (2002-2006)

From: Fitting parametric random effects models in very large data sets with application to VHA national data

Simple random sample (SRS)
Parameter	Sample (%)	Intercept	Non-hispanic black	Hispanic	Other	1 Comorbidity	2 Comorbidities	3+ Comorbidities
β (95% CI)	100	-0.94 (-0.98, -0.91)	0.62 (-0.02, -0.01)	0.45 (0.43, 0.48)	0.36 (0.35, 0.38)	0.07 (0.06, 0.08)	0.15 (0.13, 0.17)	0.27 (0.24, 0.29)
	25	-1.93 (-2.17, -1.69)	1.27 (1.17, 1.37)	1.07 (0.93, 1.20)	0.87 (0.77, 0.97)	0.12 (0.05, 0.21)	0.19 (0.06, 0.31)	0.39 (0.19, 0.58)
	10	-2.48 (-2.93, -2.04)	1.39 (1.20, 1.58)	1.27 (1.01, 1.53)	0.97 (0.78, 1.15)	0.16 (0.01, 0.31)	0.36 (0.14, 0.59)	0.44 (0.07, 0.80)
	5	-2.16 (-2.87, -1.45)	1.69 (1.40, 1.99)	1.10 (0.70, 1.50)	1.05 (0.75, 1.35)	0.39 (0.16, 0.62)	0.34 (0.09, 0.80)	0.33 (-0.24, 0.90)
SE	100	0.0182	0.0076	0.0105	0.0078	0.0053	0.0085	0.0125
	25	0.1221	0.0514	0.0691	0.0512	0.0402	0.0621	0.3896
	10	0.2269	0.0965	0.1308	0.0959	0.0748	0.1163	0.1858
	5	0.3608	0.1505	0.2038	0.1520	0.1175	0.1821	0.2905
Stratified random sampling (StRS)
Parameter	Sample (%)	Intercept	Non-Hispanic Black	Hispanic	Other	1 Comorbidity	2 Comorbidities	3+ Comorbidities
β (95% CI)	25	-1.83 (-2.07, -1.59)	1.25 (-0.01, 0.01)	0.90 (0.76, 1.03)	0.88 (0.78, 0.98)	0.10 (0.02, 0.18)	0.30 (0.17, 0.42)	0.75 (0.56, 0.94)
	10	-2.34 (-2.78, -1.89)	1.47 (1.29, 1.66)	1.03 (0.78, 1.29)	1.00 (0.81, 1.19)	0.07 (-0.08, 0.21)	0.24 (0.02, 0.47)	0.69 (0.34, 1.05)
	5	-2.65 (-3.35, -1.95)	1.44 (1.14, 1.74)	1.74 (1.34, 2.15)	1.10 (0.81, 1.40)	0.20 (-0.03, 0.43)	0.16 (-0.19, 0.52)	0.80 (0.22, 1.39)
SE	25	0.1209	0.0514	0.0690	0.0512	0.0401	0.0620	0.0984
	10	0.2272	0.0955	0.1282	0.0949	0.0745	0.1154	0.1813
	5	0.3561	0.1531	0.2060	0.1505	0.1175	0.1817	0.2984
Random effects meta-regression without VISN 13 & 14 (REMR)
Parameter^**	Sample (%)	Intercept	Non-Hispanic Black	Hispanic	Other	1 Comorbidity	2 Comorbidities	3+ Comorbidities
β (95% CI)	100	-0.93 (-0.99, -0.87)	0.58 (0.52, 0.64)	0.11 (0.05, 0.17)	0.32 (0.26, 0.38)	0.07 (0.01, 0.13)	0.14 (0.08, 0.20)	0.25 (0.19, 0.31)

†-Independent variables used in fitting the general linear mixed model using a binomial distribution with a logit link function were: linear time; race (non-Hispanic white reference, indicator variables); sex (female reference); marital status (single reference), service disability percentage, residence status (urban/rural, rural reference), and number of comorbidities (1, 2, or 3+; none reference).
** Veteran Integrated Service Networks (VISNs) 13 and 14 are excluded in all these models.

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ISSN: 1471-2288

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