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. 2011 Aug 5;42(1):40–56. doi: 10.1007/s10519-011-9488-8

Table 5.

Test results for equality of tetrachoric correlations over sex for the dichotomous CAGE and comparability with polychoric correlations for the trichotomous CAGE, with thresholds and threshold deviationsd

Test results sex differencesa Dichotomous CAGE (0 vs. 1+ yes answers) Trichotomous CAGE (0, 1, 2+ yes answers)
Age χ2(3)b p MZ corr DZ corr th1c Δ th1 femalesd MZ corr DZ corr th1c th2c Δ th1 femalesd Δ th2 femalesd
15–17 2.54 0.469 0.62 0.53 0.97 0.39 e e
18–20 2.14 0.545 0.47 0.33 0.47 0.52 0.47 0.31 0.47 1.15 0.52 0.46
21–23 2.63 0.453 0.50 0.14 0.33 0.62 0.49 0.14 0.33 1.07 0.62 0.49
24–26 2.17 0.538 0.50 0.19 0.31 0.68 0.45 0.14 0.31 0.99 0.68 0.57
27–29 3.89 0.274 0.51 0.14 0.45 0.50 0.47 0.17 0.44 1.11 0.50 0.40
30–32 4.52 0.210 0.41 0.26 0.50 0.49 0.40 0.31 0.49 1.11 0.49 0.41

aResults presented for testing sex differences in the correlations for the dichotomous CAGE

bTesting for the equality of the correlations over sex results in a test with three degrees of freedom with a critical χ2(3) value of 7.815 (α = .05)

cThreshold estimates

dDeviation from threshold for females

eNo polychoric correlations could be computed for the trichotomous CAGE in the 15–17 age group, since the frequency of 2+ yes answers was too low