Case-control geographic clustering for residential histories accounting for risk factors and covariates

Table 1 Results of global, local and focused analyses for 14 k nearest neighbors.

k	Q _k	p(Q_k\|ind)	p(Q_k\|cov)	$Q k F MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGrbqudaqhaaWcbaGaem4AaSgabaGaemOrayeaaaaa@3078@$	p( $Q k F MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGrbqudaqhaaWcbaGaem4AaSgabaGaemOrayeaaaaa@3078@$ \|ind)	p( $Q k F MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGrbqudaqhaaWcbaGaem4AaSgabaGaemOrayeaaaaa@3078@$ \|cov)
1	0.174901	0.005	0.017	0.127530	0.029	0.068
2	0.349723	0.003	0.005	0.184488	0.041	0.136
3	0.517915	0.002	0.008	0.245975	0.035	0.075
4	0.684462	0.001	0.005	0.309150	0.020	0.070
5	0.855060	0.001	0.005	0.373301	0.012	0.059
6	1.026782	0.001	0.004	0.435352	0.014	0.037
7	1.198437	0.001	0.003	0.497214	0.015	0.035
8	1.369669	0.001	0.004	0.559708	0.008	0.034
9	1.538379	0.001	0.003	0.621404	0.007	0.039
10	1.698601	0.001	0.004	0.678253	0.006	0.044
15	2.515135	0.001	0.016	0.963308	0.021	0.063
25	4.094881	0.003	0.055	1.545931	0.015	0.049
50	8.129378	0.002	0.054	2.975514	0.028	0.067
75	12.149053	0.004	0.047	4.463786	0.012	0.034

Column 1 is the number of nearest neighbors considered (k = 1,...,10, 15, 25, 50, 75); Qk is the value of the global statistic for evaluating clustering of residential histories of cases over the entire study period and study area; p(Qk|ind) is the probability of Qk under the null hypothesis of independence that assumes the cases and controls have equal probability of being a case; p(Qk|cov) is the probability of Qk accounting for smoking, age, gender, education and race; QFk is the focused statistic for assessing clustering about the business address histories of the 268 industries, and is evaluated for all industries simultaneously; p(QFk |ind) is the probability of QFk under the null hypothesis of independence; p(QFk|cov) is the probability of QFk accounting for smoking, age, gender, education and race.