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. 2017 Nov 17;14(1):1. doi: 10.1007/s11306-017-1297-5

Table 4.

Discriminant analysis using log-transformed LCA and GDCA as a model (GCDCA and GLCA were not significant and hence not entered into the model)

Classification results
Group Predicted group membership
Control MCI AD
Control (N = 30) 12 (40.0%) 9 (30.0%) 9 (30.0%)
MCI (N = 20) 3 (15.0%) 11 (55.0%) 6 (30.0%)
AD (N = 30) 10 (33.3%) 5 (16.7%) 15 (50.0%)
Goodness of prediction (in brackets: bias-correction by means of cross-classification)
Correct One category offa Completely misclassifiedb
Control (N = 30) 40.0% (40.0%) 30.0% (30.0%) 30.0% (30.0%)
MCI (N = 20) 55.0% (50.0%) 45.0% (50.0%) – (–)
AD (N = 30) 50.0% (46.7%) 16.7% (20.0%) 33.3% (33.3%)
Total (N = 80) 47.5% (45.0%) 28.8% (31.3%) 23.7% (23.7%)

Classification formula

Control f0 = 6.576* ln(GDCA) + 8.673* ln(LCA) – 35.996

MCI f1 = 5.636* ln(GDCA) + 10.451* ln(LCA) – 36.547

AD f2 = 6.528* ln(GDCA) + 10.356* ln(LCA) – 41.679

Rule Classify as control if f0 > f1 and f0 > f2, classify as MCI if f1 > f0 and f1 > f2, classify as AD if

f2 > f0 and f2 > f1

aActual group and predicted group in adjacent categories, e.g., actual group = healthy, predicted group = MCI

bActual group and predicted group are completely different, e.g., actual group = healthy, predicted group = AD