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. Author manuscript; available in PMC: 2013 Nov 15.
Published in final edited form as: Am J Clin Nutr. 2008 Jun;87(6):1883–1891. doi: 10.1093/ajcn/87.6.1883

Table 4.

Regression Coefficients (Fixed Effects), Random Effects, and P-values From Multivariate HLM Models That Include Neighborhood SES in Addition to Individual Characteristics As Explanatory Variables For Fruit/Vegetable Intake, Using the Third National Health and Nutrition Examination Survey 1988-1994 (NHANES III) 1

Servings of Fruit and Vegetables Combined (n=13,281) Servings of Fruit (n=13,310) Servings of Vegetables (n=13,296)

Coeff P-value Coeff P-value Coeff P-value
Neighborhood SES 0.24 <0.0001 0.13 <0.0001 0.11 0.0006

Race/Ethnicity
 Mexican American 0.11 0.4986 0.21 0.0578 -0.12 0.2951
 NH Black -0.24 0.0509 0.16 0.0245 -0.41 <0.0001
 ‘Other’ -0.24 0.2870 -0.19 0.2398 -0.04 0.7659
 NH White (ref) --- --- --- --- --- ---

Age (centered) 0.02 <0.0001 0.02 <0.0001 0.01 0.0146
Age (centered) squared -0.0001 0.3277 0.0001 0.1146 -0.0003 0.0081

Female -0.71 <0.0001 -0.09 0.0945 -0.62 <0.0001

US-born -0.83 <0.0001 -0.62 <0.0001 -0.21 0.0757

Educational Attainment
 Grade School -1.14 <0.0001 -0.66 <0.0001 -0.48 0.0002
 Some High School -0.77 <0.0001 -0.53 <0.0001 -0.25 0.0423
 High School -0.46 <0.0001 -0.39 <0.0001 -0.07 0.4194
 Post High School (ref) --- --- --- --- --- ---

Family Income
 Poor -0.52 0.0074 -0.21 0.1103 -0.30 0.0228
 Low income -0.34 0.0468 -0.14 0.1432 -0.20 0.1201
 Middle income -0.27 0.0341 -0.07 0.4318 -0.20 0.0314
 High income (ref) --- --- --- --- --- ---

Employment status
 Employed 0.23 0.2277 0.06 0.5065 0.17 0.2907
 Not in Labor Force 0.27 0.1346 0.09 0.2414 0.19 0.2600
 Unemployed (ref) --- --- --- --- --- ---

Region
 Northeast 0.14 0.4948 0.07 0.5734 0.07 0.6037
 Midwest 0.02 0.9021 0.04 0.7179 -0.01 0.9477
 South -0.27 0.1327 -0.26 0.0103 -0.01 0.9448
 West (ref) --- --- --- --- --- ---

Intercept 6.37 <0.0001 2.39 <0.0001 3.97 <0.0001

Random Effects
 Level 1 variance 9.62 <0.0001 3.32 <0.0001 5.58 <0.0001
 Level 2 variance 1.97 <0.0001 0.55 <0.0001 1.09 <0.0001
 Level 3 variance 0.07 0.0490 0.04 0.0053 0.03 0.0717

 ICC-level 2 (%) 2 16.90 13.95 16.23
 ICC-level 3 (%) 2 0.58 1.14 0.44

Fit Statistics
-2 Res LL 77876.0 63752.7 70682.3
AIC 77882.0 63758.7 70688.3
1

Hierarchical linear models (HLM), or multi-level regressions, were conducted with PROC MIXED using SAS version 9.1. Level 1=individual level, level 2= tract level within counties, and level 3=county level.

2

ICCs = intra-class correlation coefficients, which provide an estimate of the proportion of total variance in dietary outcome that occurs between geographic areas. Level 2 ICCs provide an estimate of the proportion of variance in dietary outcome that occurs between tracts within counties while level 3 ICCs provide an estimate of the proportion of variance in dietary outcome that occurs between counties.