Table 1

Results of global, local and focused analyses for 14 k nearest neighbors.MathMathMathMathMath
k
 Qk
 p(Qk|ind)
 p(Qk|cov)
 Math
 p(Math|ind)
 p(Math|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; 1476-072X-5-32-i1http://www.w3.org/1998/Math/MathMLQkFMathType-MTEF MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGrbqudaqhaaWcbaGaem4AaSgabaGaemOrayeaaaaa@3078@ is the focused statistic for assessing clustering about the business address histories of the 268 industries, and is evaluated for all industries simultaneously; p(1476-072X-5-32-i1http://www.w3.org/1998/Math/MathMLQkFMathType-MTEF MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGrbqudaqhaaWcbaGaem4AaSgabaGaemOrayeaaaaa@3078@|ind) is the probability of 1476-072X-5-32-i1http://www.w3.org/1998/Math/MathMLQkFMathType-MTEF MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGrbqudaqhaaWcbaGaem4AaSgabaGaemOrayeaaaaa@3078@ under the null hypothesis of independence; p(1476-072X-5-32-i1http://www.w3.org/1998/Math/MathMLQkFMathType-MTEF MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGrbqudaqhaaWcbaGaem4AaSgabaGaemOrayeaaaaa@3078@|cov) is the probability of 1476-072X-5-32-i1http://www.w3.org/1998/Math/MathMLQkFMathType-MTEF MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGrbqudaqhaaWcbaGaem4AaSgabaGaemOrayeaaaaa@3078@ accounting for smoking, age, gender, education and race.

Jacquez et al. International Journal of Health Geographics 2006 5:32   doi:10.1186/1476-072X-5-32