Table 3.
Ignorable Differencea |
Important Differenceb |
Base Rate %c |
Sensitivityd | Specificitye | PPVf | NPVg | E1h | E2i |
---|---|---|---|---|---|---|---|---|
.01 | .25 | 6.3 | .19 | .97 | .33 | .95 | 93.7% | 92.5% |
.5 | 3.2 | .27 | .98 | .27 | .98 | 96.8% | 95.0% | |
.75 | 1.4 | .47 | .97 | .18 | .99 | 98.6% | 96.3% | |
1.0 | .5 | .66 | .97 | .09 | .99 | 99.5% | 97.5% | |
1.25 | .2 | .82 | .97 | .04 | .99 | 99.8% | 96.5% | |
.05 | .25 | 6.9 | .19 | .98 | .37 | .94 | 93.1% | 92.1% |
.5 | 3.6 | .31 | .97 | .31 | .97 | 96.4% | 95.0% | |
.75 | 1.6 | .47 | .97 | .21 | .99 | 98.4% | 96.3% | |
1.0 | .6 | .66 | .97 | .11 | .99 | 99.4% | 96.6% | |
1.25 | .2 | .82 | .97 | .04 | .99 | 99.8% | 96.5% | |
.15 | .25 | 8.5 | .19 | .98 | .46 | .93 | 91.5% | 91.2% |
.5 | 4.6 | .31 | .98 | .39 | .97 | 95.4% | 94.6% | |
.75 | 2.0 | .48 | .97 | .28 | .99 | 97.9% | 96.3% | |
1.0 | .8 | .66 | .97 | .14 | .99 | 99.2% | 96.6% | |
1.25 | .2 | .80 | .97 | .05 | .99 | 99.8% | 96.5% | |
.25 | .25 | 10.2 | .19 | .98 | .54 | .91 | 87.8% | 90.2% |
.5 | 5.6 | .31 | .98 | .48 | .96 | 94.4% | 94.3% | |
.75 | 2.5 | .48 | .98 | .34 | .99 | 97.5% | 96.3% | |
1.0 | .9 | .67 | .97 | .17 | .99 | 99.1% | 96.7% | |
1.25 | .3 | .79 | .97 | .06 | .99 | 99.7% | 96.5% | |
.5 | .5 | 7.4 | .32 | .99 | .65 | .95 | 92.6% | 93.7% |
.75 | 3.3 | .49 | .98 | .45 | .99 | 96.7% | 96.3% | |
1.0 | 1.2 | .66 | .97 | .21 | .99 | 98.8% | 96.8% | |
1.25 | .4 | .76 | .97 | .07 | .99 | 99.7% | 96.6% | |
.75 | .75 | 3.8 | .49 | .98 | .51 | .98 | 96.2% | 96.3% |
1.0 | 1.3 | .64 | .97 | .23 | .99 | 98.7% | 96.7% | |
1.25 | .4 | .74 | .97 | .08 | .99 | 99.6% | 96.6% | |
1.0 | 1.0 | 1.4 | .62 | .97 | .24 | .99 | 98.6% | 96.7% |
1.25 | .4 | .71 | .97 | .08 | .99 | 99.6% | 96.5% |
Note. These results apply to the 221,598 cases out of 1,000,000 that remained after applying achievement (< 90) and mental ability (> 69) cutoffs. At the observed level there were 8031 cases (3.6%) of SLD and 213,567 (96.4%) of Not SLD.
Ignorable Difference is the latent z score difference that is small enough to ignore.
Important Difference is the latent z score difference that is large enough to be considered a cause of SLD.
Base Rate % is percentage of cases in the sample selected for low achievement but of average mental ability classified as SLD at the latent level.
Sensitivity is the proportion of true SLD cases identified as such by the method.
Specificity is the proportion of true Not SLD cases identified as such by the method.
PPV is Positive Predictive Value or the probability of being truly SLD given a positive test result.
NPV is Negative Predictive Value or the probability of being truly Not SLD given a negative test result.
E1 is the efficiency or percent of correct classifications made without applying the test. It is equal to 1- Base Rate %.
E2 is the efficiency or percent of correct classifications made when the test is used and is the sum of the percent of True Positives and True Negatives.