Impacts of Node Connectivity on Reliability of Water Distribution Networks - Pattern Recognition for Reliability Assessment of Water Distribution Networks - page 168

Table 6.26 Statistical analysis, case 30 networks (optimised D, fixed Q)

R -value NCI1 NCI2 NCI3 NSI1 NSI2 NSI3 ADF avg NBI I n
AGD-dia 0.24 0.34 0.36 0.19 0.20 0.21 -0.61 -0.52 0.12
GD -0.28 -0.33 -0.40 -0.20 -0.15 -0.23 0.54 0.57 -0.04
Deg avg -0.28 -0.33 -0.40 -0.20 -0.15 -0.23 0.54 0.57 -0.04
BC avg 0.24 0.34 0.36 0.19 0.20 0.21 -0.61 -0.52 0.12
CC avg -0.32 -0.43 -0.46 -0.27 -0.29 -0.31 0.65 0.56 -0.11
Cp avg -0.29 -0.34 -0.28 -0.27 -0.25 -0.19 0.51 0.38 -0.20
P -value NCI1 NCI2 NCI3 NSI1 NSI2 NSI3 ADF avg NBI I n
AGD-dia 0.210 0.068 0.048 0.327 0.300 0.259 0.000 0.003 0.511
GD 0.135 0.079 0.028 0.294 0.418 0.229 0.002 0.001 0.819
Deg avg 0.135 0.079 0.028 0.294 0.418 0.229 0.002 0.001 0.819
BC avg 0.210 0.068 0.048 0.327 0.300 0.259 0.000 0.003 0.511
CC avg 0.081 0.017 0.010 0.144 0.124 0.096 0.000 0.001 0.572
Cp avg 0.121 0.062 0.129 0.154 0.183 0.311 0.004 0.038 0.291
Correlation NCI1 NCI2 NCI3 NSI1 NSI2 NSI3 ADF avg NBI I n

AGD-dia R R 95% R R R 99.9% 99% R

GD R R 95% R R R 99% 99% R

Deg avg R R 95% R R R 99% 99% R

BC avg R R 95% R R R 99.9% 99% R

CC avg R 95% 99% R R R 99.9% 99% R

Cp avg R R R R R R 99% 95% R

Table 6.27 Statistical analysis, three clusters of 10 networks (fixed D, variable Q)

R -value NCI1 NCI2 NCI3 NSI1 NSI2 NSI3 ADF avg NBI I n

AGD-dia -0.22 0.17 0.42 -0.52 -0.52 -0.47 -0.86 -0.78 0.64

GD 0.33 -0.02 -0.28 0.60 0.63 0.56 0.89 0.84 -0.47

Deg avg 0.33 -0.02 -0.28 0.60 0.63 0.56 0.89 0.84 -0.47

BC avg -0.22 0.17 0.42 -0.52 -0.52 -0.47 -0.86 -0.78 0.64

CC avg 0.21 -0.19 -0.42 0.51 0.51 0.47 0.86 0.79 -0.63

Cp avg 0.15 -0.18 -0.18 0.27 0.28 0.34 0.58 0.60 0.06

P -value NCI1 NCI2 NCI3 NSI1 NSI2 NSI3 ADF avg NBI I n

AGD-dia 0.245 0.364 0.022 0.003 0.003 0.009 0.000 0.000 0.000

GD 0.074 0.915 0.136 0.000 0.000 0.001 0.000 0.000 0.008

Deg avg 0.074 0.915 0.136 0.000 0.000 0.001 0.000 0.000 0.008

BC avg 0.246 0.367 0.021 0.003 0.003 0.009 0.000 0.000 0.000

CC avg 0.260 0.315 0.021 0.004 0.004 0.009 0.000 0.000 0.000

Cp avg 0.427 0.329 0.336 0.146 0.129 0.069 0.001 0.001 0.734

Correlation NCI1 NCI2 NCI3 NSI1 NSI2 NSI3 ADF avg NBI I n

AGD-dia R R 95% 99% 99% 99% 100% 100% 99.9%

GD R R R 99.9% 99.9% 99% 100% 100% 99%

Deg avg R R R 99.9% 99.9% 99% 100% 100% 99%

BC avg R R 95% 99% 99% 99% 100% 100% 99.9%

CC avg R R 95% 99% 99% 99% 100% 100% 99.9%

Cp avg R R R R R R 99.9% 99.9% R