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. Author manuscript; available in PMC: 2019 Nov 1.
Published in final edited form as: Ann Epidemiol. 2018 Sep 6;28(11):759–766.e5. doi: 10.1016/j.annepidem.2018.08.014

Table 3.

MCS at age 50; main effects and demographic interactions, weighted to 2014

Base model Female interaction Race interaction cSES interaction Immigrant interaction
Variables Beta 95% CI p-value Beta 95% CI p-value Beta 95% CI p-value Beta 95% CI p-value Beta 95% CI p-value
Constant 53.88 (53.42,54.33) <0.0005 53.91 (53.46,54.37) <0.0005 53.88 (53.42,54.34) <0.0005 53.91 (53.43,54.39) <0.0005 53.87 (53.42,54.32) <0.0005
Education 0.73 (0.44,1.02) <0.0005 0.51 (0.14,0.87) 0.007 0.74 (0.37,1.11) <0.0005 0.65 (0.24,1.07) 0.002 0.76 (0.46,1.05) <0.0005
Female −2.39 (−2.90,−1.89) <0.0005 −2.48 (−3.01,−1.95) <0.0005 −2.39 (−2.90,−1.89) <0.0005 −2.39 (−2.90,−1.89) <0.0005 −2.40 (−2.90,−1.89) <0.0005
Black 0.26 (−0.34,0.86) 0.390 0.24 (−0.35,0.84) 0.422 0.26 (−0.34,0.87) 0.394 0.25 (−0.35,0.85) 0.417 0.26 (−0.33,0.86) 0.387
Hispanic / Latino 1.17 (0.34,2.00) 0.006 1.16 (0.33,1.99) 0.006 1.15 (0.32,1.98) 0.006 1.16 (0.33,1.99) 0.006 1.10 (0.27,1.93) 0.009
Other Race / missing 0.74 (−0.30,1.77) 0.162 0.71 (−0.32,1.75) 0.178 0.84 (−0.26,1.95) 0.134 0.75 (−0.29,1.78) 0.156 0.75 (−0.28,1.79) 0.153
Low cSES −0.61 (−1.24,0.02) 0.056 −0.60 (−1.23,0.03) 0.061 −0.62 (−1.25,0.01) 0.054 −0.62 (−1.26,0.01) 0.054 −0.61 (−1.24,0.02) 0.056
Southern birth 0.01 (−0.57,0.59) 0.968 0.01 (−0.57,0.58) 0.986 −0.00 (−0.58,0.58) 0.993 0.02 (−0.56,0.60) 0.953 0.02 (−0.56,0.60) 0.944
Immigrant −0.61 (−2.05,0.83) 0.407 −0.60 (−2.03,0.84) 0.415 −0.61 (−2.04,0.83) 0.407 −0.61 (−2.05,0.83) 0.408 −0.43 (−1.85,0.99) 0.550
Rural residence at 14 0.70 (0.09,1.30) 0.024 0.70 (0.09,1.30) 0.024 0.69 (0.08,1.29) 0.026 0.69 (0.08,1.29) 0.026 0.70 (0.09,1.30) 0.024
Birth year 0.16 (0.04,0.27) 0.009 0.16 (0.04,0.27) 0.009 0.16 (0.04,0.27) 0.009 0.15 (0.04,0.27) 0.009 0.16 (0.04,0.27) 0.009
Female * education 0.49 (−0.06,1.04) 0.082
Black * education 0.25 (−0.33,0.83) 0.400
Hispanic * education −0.19 (−0.80,0.41) 0.535
Other Race *  education −0.47 (−1.54,0.59) 0.386
cSES * education 0.14 (−0.44,0.71) 0.635
Immigrant * education −0.94 (−1.86,−0.02) 0.046

MCS is mental health component summary score.

Education is centered at 12 years, and birth year is centered at 1960 so the constant is interpretable.

Education is coded linearly as years of education until 13 years, and flat thereafter (i.e. everything after 13 years of schooling is recoded as 13 years because we found this specification was the best fit for the MCS data). A 1unit increase in education is a 1-year increase in schooling until 13 years.

The reference group is White men born in the U.S., outside the South, who lived in non-rural areas at age 14 years and whose mothers completed 12 or more years of schooling; because each analytic model varies in the interaction terms included, the interpretation of the reference group similarly varies across models.

Interaction term coefficients indicate the additional difference in PCS / MCS associated with each year of education; positive interaction terms indicate the demographic group benefited more from each year of education than the reference group, while negative interaction terms indicate the demographic group benefited less from each year of education than the reference group. To calculate the change in PCS / MCS for a one-year increase in education for a specific demographic group, sum the coefficient for the main effect for education with the coefficient for the interaction term.