TABLE 2.

MEDIATION MODELS FOR WEIGHT, SLEEP-DISORDERED BREATHING, AND COGNITION

				a*		b		c′		Critical Ratios			Fit
Model	X	M	Y	β ± SE (95% CI)	P Value	β ± SE (95% CI)	P Value	β ± SE (95% CI)	P Value	a–b	a–c′	b–′’	CMIN/DF; GFI	RMSEA; AIC
1A	BMI	AHI	COGN	0.12 ± 0.05 (0.03 to –0.22)	0.012	−0.96 ± 0.02 (−0.99 to –0.93)	<0.001	−0.20 ± 0.04 (−0.28 to −0.11)	<0.001	−7.72	−8.07	2.62	0.9; 0.99	0.00; 59.2
1B	COGN	AHI	BMI	−0.77 ± 0.08 (−0.88 to −0.60)	<0.001	−0.88 ± 0.17 (−1.23 to −0.58)	<0.001	−1.49 ± 0.16 (−1.85 to −1.220)	<0.001	−18.07	21.10	−0.35	1.5; 0.99	0.038; 67.6
2A	COGN	BMI	AHI	−0.73 ± 0.05 (−0.80 to −0.60)	<0.001	−0.74 ± 0.15 (−1.09 to −0.56)	<0.001	−1.39 ± 0.10 (−1.62 to −1.25)	<0.001	−15.78	−19.71	4.72	1.3; 0.99	0.032; 66.2
2B	AHI	BMI	COGN	0.41 ± 0.16 (0.26 to 0.54)	0.036	−0.58 ± 0.07 (−0.65 to −0.53)	<0.001	−0.60 ± 0.08 (−0.66 to −0.52)	<0.001	6.52	6.34	2.68	1.5; 0.99	0.038; 67.5
3A	AHI	COGN	BMI	−0.88 ± 0.11 (−0.98 to −0.57)	<0.001	−1.31 ± 0.27 (−1.85 to −1.09)	<0.001	−0.39 ± 0.26 (−0.89 to −0.18)	<0.001	3.41	−3.44	1.78	1.5; 0.99	0.041; 67.5
3B	BMI	COGN	AHI	−0.74 ± 0.14 (−0.93 to −0.44)	<0.001	−1.07 ± 0.07 (−1.19 to −0.88)	<0.001	−0.10 ± 0.13 (−0.27 to 0.18)	0.055	−3.45	−3.69	4.18	1.6; 0.98	0.042; 68.2

Definition of abbreviations: AHI = apnea–hypopnea index (or sleep disordered breathing); AIC = Akaike information criterion; BMI = body mass index (or weight); CMIN/DF = minimum value of the discrepancy function divided by degrees of freedom; COGN = cognition predicted by raw scores of the Verbal Abilities cluster; GFI = goodness of fit index; M = the mediating variable; RMSEA = root mean square error of approximation; X = the independent variable; Y = the dependent variable.

^*a, b, and c are standardized regression weights with SE.