Table 1.
N(total) | Slope 1 (SE) pa | JPb | Slope 2 (SE) p | JP | Slope 3 (SE) p | JP | Slope 4 (SE) p | |
---|---|---|---|---|---|---|---|---|
All students | ||||||||
Any 30-day use | 649,505 | −3.429 (0.322) <0.001 | 1990–91 | 2.480 (1.941) 0.222 | 1996–97 | 0.023 (0.156) 0.885 | ||
Frequent usec | 649,505 | −1.114 (0.103) <0.001 | 1990–91 | 0.972 (0.338) 0.012 | 1998–99 | 0.036 (0.073) 0.630 | ||
Lifetime users | ||||||||
Any 30-day use | 311,168 | −4.311 (0.860) <0.001 | 1986–87 | 0.563 (0.179) 0.006 | ||||
Frequent use | 311,168 | −1.689 (0.154) <0.001 | 1990–91 | 2.321 (1.279) 0.091 | 1996–97 | 0.233 (0.107) 0.048 | ||
Lifetime users by sex | ||||||||
Females | 143,375 | −1.581 (0.180) <0.001 | 1988–89 | 0.965 (0.292) 0.005 | 1998–99 | 0.139 (0.109) 0.224 | ||
Males | 154,189 | −1.967 (0.203) <0.001 | 1990–91 | 2.835 (1.797) 0.137 | 1996–97 | 0.309 (0.135) 0.039 | ||
Lifetime users by race/ethnicity | ||||||||
Black | 31,913 | −1.510 (0.154) <0.001 | 1990–91 | 2.315 (1.377) 0.115 | 1996–97 | 0.582 (0.130) <0.001 | ||
Hispanic | 28,188 | −1.646 (0.283) <0.001 | 1988–89 | 1.180 (0.428) 0.019 | 1998–99 | −0.395 (0.697) 0.582 | 2006–07 | 0.500 (0.183) 0.019 |
White | 216,733 | −1.695 (0.183) <0.001 | 1990–91 | 2.428 (1.542) 0.138 | 1996–97 | 0.229 (0.143) 0.131 | ||
Other | 22,689 | −2.366 (0.397) <0.001 | 1988–89 | 0.421 (0.088) <0.001 |
Notes: Bold font indicates slopes with t-test p-values <0.05.
p-values of the slope changes are calculated from t-tests based on asymptotic normality; the number of joinpoints is calculated using a permutation test procedure not requiring asymptotic normality and maintaining correct Type I error probability.
JP = Joinpoint, or year grouping in which significant change in slope occurred.
Frequent use defined as use on 20+ occasions in the past 30 days.