Research Article

Detection of Anomalies in Water Networks by Functional Data Analysis

Table 2

Simulated data with amplitude, isolated, and shift outliers with = 0.05. Mean and standard deviation (in brackets) of the percentage of correctly () and falsely () identified outliers over 100 simulation runs.

Amplitude Isolated Shift
Method

LRT 0 (0) 0 (0) 0 (0) 0 (0) 0 (0) 0 (0)
TRIM 74.0 (22.7) 1.3 (1.0)90.2 (18.7) 1.1 (1.1) 94.8 (9.7) 0.9 (1.0)
POND 63.2 (27.2) 0.7 (0.9) 84.6 (24.8) 1.0 (1.0) 90.2 (19.2) 1.1 (1.0)
ISFE 16.2 (20.4) 2.6 (2.0) 100 (0) 2.9 (2.2) 63.2 (40.5) 3.0 (1.8)
RMAH 59.0 (24.7) 1.0 (1.2)62.6 (28.4) 0.9 (1.0) 97.6 (7.7) 1.0 (1.1)
HDR 51.4 (20.2) 2.6 (1.1) 51.8 (19.9) 2.5 (1.0) 65.0 (21.0) 1.8 (1.1)
FB 23.2 (21.4) 0.1 (0.3) 28.2 (36.5) 0.07 (0.3) 18.8 (22.2) 0.1 (0.3)
OUG 0 (0) 5.0 (3.1) 44.4 (23.4) 3.6 (2.5) 94.8 (9.3) 3.4 (2.1)
FOM 24.4 (24.5)0.2 (0.5) 14.0 (25.8) 0.3 (0.7) 10.0 (17.4) 0.2 (0.4)
FOADA 57.4 (27.7) 2.4 (1.6) 96.2 (17.9) 2.6 (1.8) 99.2 (6.3) 3.0 (1.9)