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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 3.

Regression Coefficients (Fixed Effects), Random Effects, and P-values From Multivariate HLM Models That Include Only Individual-Level 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
Race/Ethnicity
 Mexican American 0.004 0.9783 0.15 0.1609 -0.16 0.1364
 NH Black -0.42 0.0003 0.06 0.3763 -0.50 <0.0001
 ‘Other’ -0.30 0.1756 -0.22 0.1609 -0.07 0.6302
 NH White (ref) --- --- --- --- --- ---

Age (centered) 0.03 <0.0001 0.02 <0.0001 0.01 0.0122
Age (centered) squared -0.0001 0.3297 0.0001 0.1181 -0.0003 0.0082

Female -0.71 <0.0001 -0.09 0.0944 -0.62 <0.0001

US-born -0.85 <0.0001 -0.63 <0.0001 -0.21 0.0634

Educational Attainment
 Grade School -1.19 <0.0001 -0.70 <0.0001 -0.51 <0.0001
 Some High School -0.81 <0.0001 -0.55 <0.0001 -0.27 0.0284
 High School -0.48 <0.0001 -0.40 <0.0001 -0.08 0.3563
 Post High School (ref) --- --- --- --- --- ---

Family Income
 Poor -0.62 0.0009 -0.26 0.0361 -0.35 0.0070
 Low income -0.41 0.0158 -0.18 0.0600 -0.23 0.0692
 Middle income -0.31 0.0186 -0.09 0.3374 -0.22 0.0203
 High income (ref) --- --- --- --- --- ---

Employment status
 Employed 0.23 0.2198 0.06 0.4828 0.18 0.2842
 Not in Labor Force 0.27 0.1457 0.08 0.2585 0.18 0.2674
 Unemployed (ref) --- --- --- --- --- ---

Region
 Northeast 0.12 0.5865 0.06 0.6639 0.06 0.6651
 Midwest 0.01 0.9514 0.04 0.7614 -0.02 0.9040
 South -0.27 0.1407 -0.26 0.0144 -0.01 0.9512
 West (ref) --- --- --- ---

Intercept 6.44 <0.0001 2.44 < 0.0001 4.01 <0.0001

Random Effects
 Level 1 variance 9.63 <0.0001 3.32 <0.0001 5.58 <0.0001
 Level 2 variance 1.99 <0.0001 0.55 <0.0001 1.09 <0.0001
 Level 3 variance 0.09 0.0309 0.05 0.0026 0.03 0.0723

 ICC-level 2 (%) 2 17.03 14.06 16.28
 ICC- level 3 (%) 2 0.74 1.36 0.46

Fit Statistics
-2 Res LL 77895.8 63767.9 70686.1
AIC 77901.8 63773.9 70692.1
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.