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. Author manuscript; available in PMC: 2018 Dec 1.
Published in final edited form as: Addiction. 2017 Jul 31;112(12):2132–2143. doi: 10.1111/add.13911

Table 3.

Relationship of cognitive scales and validators, NESARC-III (N=36,085)

Association with attention scale Association with executive scale Difference in relationship of construct validator category to each scaleb

Wald F(degrees-of-freedom) p-value Mean scale score (SE)a Effect size (95% CI)a Wald F(degrees-of-freedom) p-value Mean scale score (SE)a Effect size (95% CI)a
Construct validators

Education level 24.85(4) ≤.0001e 99.04(4) ≤.0001e
 Less than high school 15.4 (.08) reference 9.4 (.09) reference
 Completed high school 15.9 (.06) .134 (.090,.178) 9.9 (.06) .150 (.108,.191) No
 Some college 16.1 (.05) .213 (.161,.265) 10.5 (.05) .306 (.253,.359) Yesh; executive
 College degree 16.3 (.05) .258 (.205,.312) 10.9 (.05) .438 (.384,.491) Yesi; executive
 Post-graduate study 16.3 (.06) .271 (.211,.331) 11.3 (.05) .555 (.494,.615) Yesi; executive

Functional impairment

MCS-basedc 1049.71(1) ≤.0001e 427.38(1) ≤.0001e
  Yes 14.5 (.06) −.596 (−.632,−.560) 9.6 (.05) −.317 (−.347,−0.287) Yesi; attention
  No 16.5 (.03) reference 10.7 (.04) reference

Role-basedd 158.67(1) ≤.0001f 53.77(1) ≤.0001f
  Yes 15.6 (.06) −.201 (−.233,−.170) 10.1 (.05) −.117 (−.149,−0.086) Yesi; attention
  No 16.2 (.04) reference 10.5 (.04) reference

Discriminant validatorsj

Region 2.16(4) .10g 1.30(1) .28g

Height
Men 2.19(1) .14g 5.34(1) .02g
Women 0.10(1) .75g 0.15(1) .70g
a

adjusted for sociodemographic covariates using linear regression in SUDAAN 11.0.1. For education level, these included: age (18–24, 25–44, 45–64, 65–74, 75+), gender (men, women), personal income ($0–$19,999, $20,000–$34,999, $35,000–$69,999, ≥$70,000), and race/ethnicity (White, Black, Native American, Asian/Pacific Islander, Hispanic). For functional impairment and region, those covariates were included as well as education (see categories in table above). For height, covariates included age, personal income, race/ethnicity and education.

“Effect size” refers to the “standardized difference”, the difference in the mean scale score for each group as compared to the reference, divided by the standard deviation of the scale in the sample (attention scale=3.34; executive scale=3.31).

b

the regressions for each scale was carried out simultaneously (bivariate regression), to test if the difference in the effect sizes for the scales (attention minus executive) was significantly different from zero, using Mplus 7.11 “model constraint” ; if there is a significant difference, the scale with greater effect size is listed. A Bonferroni corrected p-value of 0.05/5=.01 was used to declare significance, since five differences were initially tested: each of 4 non-reference education levels and MCS-based functional impairment; as sensitivity analysis, role-based functional impairment was not included in the Bonferroni corrections.

c

those with functional impairment had scores in the bottom twenty-fifth percentile of the Mental Component Summary (MCS) of the 12-Item Short Form Health Survey version 2

d

those with functional impairment are respondents whose situation at the time of the interview did not indicate functioning in a major role (full time work, studying, or homemaking; part time work and study; or retired and 65 or older).

e

significant, below the Bonferroni corrected p-value of 0.05/10=0.005. A denominator of 10 is used to account for the 5 initial association tests carried out for each of 2 scales: education, MCS-based functional impairment, region, height in men, and height in women.

f

as sensitivity analysis, not included in the Bonferroni corrections

g

not significant, above the Bonferroni corrected p-value of 0.05/10=0.005

h

p-value =0.002

i

p-value <0.001

j

Mean scale scores and effect sizes were not reported since the discriminant validators were not significantly associated with the cognitive scales