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Table 2 Equations for biologically relevant candidate models containing only significant variables in ordinary least squares regression and the corresponding AICC and R2 when these models were fitted using a Geographically Weighted Regression model.

From: Correlations between meteorological parameters and prostate cancer

Model Description

OLS regression equation for model

GWR AICC

[AICmodel- AICbest model]*

GWR R2(adj R2)

radiation only

Y = 240 - 6.50 RAD

18943.51

[172.91]

30.9% (29.9)

radiation with quadratic term

Y = 1101 - 122 RAD + 3.83 RAD2

18913.39

[142.79]

32.5%(31.1)

Pollutant and confounders

Y = 179 - .364 HRT_DS -1.477 UNEMPLOY + .00003CROP

18905.71

[135.11]

34.9%(32.4)

Radiation, confounders, and pollutant

Prst = 823.62 - .275 HRT_DS -2 UNEMPLOY -2.6RAD+.00003CROP+2.6 RAD2

18876.93

[106.33]

37.1% (34.0)

radiation and confounders

Y = 840.54 - .293HRT_DS -2.36 UNEMPLOY - 83.54RAD + 2.63 RAD2

18868.70

[98.10]

36.0% (33.4)

HDD and confounders

Y = 170 - 0.234 HRT_DS - 1.84 UNEMPLOY - 0.00550 HDD + 0.000002 HDD2

18843.07

[72.47]

36.4%(33.9)

Meteorological parameters without radiation but with confounders

Y = 178.3 - .21 HRT_DS -1.77 UNEMPLOY - .006HDD + .027SNOW -0.085RAIN + 0.000002 HDD2

18812.07

[41.47]

39.0% (35.8)

Meteorological parameters including radiation and confounders

Y = 467 - .193 HRT_DS - 1.83 UNEMPLOY -31.7RAD - .0094HDD - .16RAIN+.000002 HDD2

+.9 RAD2

18777.54

[6.94]

40.3% (36.8)

Meteorological parameters including radiation and pollutant and confounders

Y = 470 - .193 HRT_DS -1.78 UNEMPLOY -34RAD - .009HDD + .00002CROP +.03SNOW - .116RAIN + .000002 HDD2 + 1 RAD2

18776.77

[6.17]

42.5%(38.1)

Meteorological parameters including radiation and pollutant and confounders and interactions

Y = 460 - 0.198 HRT DS - 1.50 UNEMPLOY - 0.000010 CROP - 33.1 RAD - 0.00834 HDD + 0.0079 SNOW - 0.117 RAIN + 0.000002 HDD2 + 0.985 RAD2 + 0.00000046 CROP X SNOW

18770.60

43.3% (38.7)

  1. * [Difference between the AIC of the model and the AIC of the best fit model. A number greater than 6 is considered significant [44]].