153.15, p < 0.001; 24–26: χ2 (1) = 157.37, p < 0.001; 27–29: χ2 (1) = 67.86, p = 0.001; and 30–32: χ2 (1) = 59.65, p < 0.001). This indicates that the prevalence of giving one or more positive answers differed for men and women. Men more often gave a positive answer on one or more CAGE items than women.Table 5Test 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)Ageχ2(3)b p MZ corrDZ corrth1c Δ th1 femalesd MZ corrDZ corrth1c th2c Δ th1 femalesd Δ th2 femalesd 15–172.540.4690.620.530.970.39–e –e ––––18–202.140.5450.470.330.470.520.470.310.471.150.520.4621–232.630.4530.500.140.330.620.490.140.331.070.620.4924–262.170.5380.500.190.310.680.450.140.310.990.680.5727–293.890.2740.510.140.450.500.470.170.441.110.500.4030–324.520.2100.410.260.500.490.400.310.491.110.490.41 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
