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. Author manuscript; available in PMC: 2018 Jan 18.
Published in final edited form as: SSM Popul Health. 2017 May 10;3:435–441. doi: 10.1016/j.ssmph.2017.05.007

Table 3. Random-intercept factional logit regression results on tract-level percentage workers biking to work (BTW).

Variables Rural tracts Urban tracts t-test for differencea p-value

Marginal effects p-value Marginal effects p-value
Tract pop. density (1,000/sq mile) 0.013 0.0331 -0.004 <.0001 0.1515
Median housing age 0.006 <.0001 0.015 <.0001 <.0001
Tract intersection density/sq mile 0.000 0.9855 0.001 <.0001 0.3411
Tract % area green canopy -0.004 <.0001 -0.005 <.0001 0.8936
Average distance to 7 closest parks 0.001 0.1993 -0.004 0.0118 0.0412
EPA poor air quality status 0.026 0.3963 -0.204 <.0001 0.9964
Tract med. income (in $1,000) -0.003 0.0005 -0.005 <.0001 0.3285
Tract Gini coefficient (%) 0.000 0.9037 0.001 0.2667 <.0001
Tract med. housing value (in $10,000) 0.008 <.0001 0.002 <.0001 0.1578
Tract % housing owner-occupied -0.770 <.0001 -0.883 <.0001 0.005
County total crime/1,000 people 0.001 0.0662 0.003 0.0002 0.0088
Tract % 16+ commuting 1 hour+ -0.007 <.0001 -0.009 <.0001 0.2884
Tract % living in college dorms -0.003 0.0007 -0.002 0.0029 0.127
Tract % living in military quarters -0.002 0.6729 -0.008 0.0185 0.8277
Tract median age -0.008 <.0001 -0.005 <.0001 0.0033
Tract % Asians 0.003 0.2665 -0.004 <.0001 0.2265
Tract % Blacks -0.003 <.0001 -0.002 <.0001 0.0162
Tact % Hispanics -0.001 0.4612 0.002 <.0001 0.0063
Tract % foreign-born -0.002 0.1831 0.001 0.3207 0.0946
Tract % 25+ college educated 0.010 <.0001 0.014 <.0001 0.0359
R2 0.15 0.18
R2 environmental variables only 0.05 0.07
R2 non-environmental variables only 0.13 0.16

Note: The random-intercept fractional logit models were estimated with BTW prevalence specified between 0 and 1. However, the marginal effects were multiplied by 100 for ease of presentation. As an example, a marginal effect of -0.770 for tract percentage of owner-occupied housing should be interpreted as: On average, a one percent increase in tract percentage of owner-occupied housing was associated with a 0.770% decrease in prevalence of BTW in rural tracts.

a

t-tests evaluated the significance of the difference between rural tracts and urban tracts.