Missing in space: an evaluation of imputation methods for missing data in spatial analysis of risk factors for type II diabetes

Baker, Jannah; White, Nicole; Mengersen, Kerrie

doi:10.1186/1476-072X-13-47

International Journal of Health Geographics

Table 3 Estimates for selected parameters from models included in sensitivity analysis: mean (95% credible intervals)

From: Missing in space: an evaluation of imputation methods for missing data in spatial analysis of risk factors for type II diabetes

Binomial	α	β₁	β₂	β₃	β₄	β₅	β₆	β₇	σ_S²	σ_U²	DIC
1	-2.158	-0.194	0.009	-0.004	0.008	-0.008	-0.013	-0.005	0.013	0.073	667
	(-2.368,-1.963)	(-0.240,-0.143)	(-0.001,0.020)	(-0.019,0.012)	(-0.010,0.027)	(-0.022,0.006)	(-0.036,0.011)	(-0.033,0.022)
2	-2.147	-0.197	0.009	-0.005	0.008	-0.007	-0.015	-0.004	0.013	0.074	667
	(-2.415,-1.911)	(-0.253,-0.129)	(-0..002,0.021)	(-0.024, 0.013)	(-0.013, 0.027)	(-0.023, 0.008)	(-0.040,0.008)	(-0.031,0.025)
3	-2.158	-0.194	0.01	-0.005	0.008	-0.007	-0.014	-0.005	0.012	0.079	666
	(-2.374,-1.939)	(-0.248,-0.1416)	(-0.002,0.021)	(-0.022,0.011)	(-0.010,0.026)	(-0.022,0.006)	(-0.038,0.007)	(-0.032,0.022)
4	-2.155	-0.194	0.009	-0.003	0.008	-0.007	-0.014	-0.004	0.012	0.076	668
	(-2.384,-1.951)	(-0.242,-0.138)	(-0.002,0.0196)	(-0.020,0.016)	(-0.010,0.026)	(-0.022,0.008)	(-0.038,0.009)	(-0.030,0.023)
5	-2.203	-0.183	0.008	-0.004	0.008	-0.006	-0.013	-0.003	0.012	0.080	666
	(-2.451,-1.953)	(-0.242,-0.122)	(-0.004,0.020)	(-0.026,0.015)	(-0.013,0.029)	(-0.024,0.011)	(-0.037,0.009)	(-0.032,0.027)
Poisson
1	0.641	-0.181	0.009	-0.005	0.007	-0.006	-0.014	-0.005	0.012	0.062	671
	(0.440,0.854)	(-0.232,-0.134)	(-0.001,0.020)	(-0.022,0.011)	(-0.009,0.024)	(-0.020,0.008)	(-0.035,0.008)	(-0.030,0.022)
2	0.615	-0.174	0.008	-0.004	0.008	-0.005	-0.011	-0.004	0.012	0.061	671
	(0.434,0.816)	(-0.223,-0.133)	(-0.002,0.018)	(-0.020,0.012)	(-0.008,0.026)	(-0.018,0.007)	(-0.031,0.009)	(-0.028,0.022)
3	0.649	-0.183	0.009	-0.004	0.008	-0.006	-0.013	-0.003	0.012	0.067	670
	(0.413,0.864)	(-0.236,-0.125)	(-0.002,0.020)	(-0.025,0.014)	(-0.010,0.025)	(-0.021,0.008)	(-0.036,0.011)	(-0.029,0.025)
4	0.651	-0.184	0.009	-0.004	0.007	-0.007	-0.013	-0.005	0.012	0.065	672
	(0.422,0.883)	(-0.240,-0.129)	(-0.002,0.020)	(-0.023,0.014)	(-0.012,0.025)	(-0.021,0.007)	(-0.036,0.010)	(-0.031,0.022)
5	0.646	-0.182	0.009	-0.003	0.008	-0.007	-0.012	-0.006	0.011	0.066	670
	(0.441,0.888)	(-0.244,-0.134)	(-0.002,0.020)	(-0.021,0.016)	(-0.012,0.025)	(-0.022,0.008)	(-0.034,0.009)	(-0.030,0.022)

α = intercept, β₁ = coefficient for socio-economic status, β₂ = coefficient for % over 45 years of age, β₃ = coefficient for % overweight/obese, β₄ = coefficient for % daily smokers, β₅ = coefficient for % insufficient physical activity, β₆ = coefficient for % adequate fruit intake, β₇ = coefficient for % adequate vegetable intake, σ_S² = variance of correlated residual error, σ_U² = variance of uncorrelated residual error, DIC = Deviance Information Criteria.
Prior distributions used in models 1–5 are summarised in Table 1.

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ISSN: 1476-072X

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