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. 2017 Dec 26;7(12):e015943. doi: 10.1136/bmjopen-2017-015943

Table 2.

Normalisation weights of the assessment indicators and real values in the sampling districts of Hunan Province, China

Code Weight RSR Real value (Xij=Xij) Normalisation value(Yij) Comprehensive normalisation values (Zij)
Furong Ziyang Shaodong Shuangfeng Luxi Furong Ziyang Shaodong Shuangfeng Luxi Furong Ziyang Shaodong Shuangfeng Luxi
a1* 20.13 0.0671 1 1 1 1 1 0.4472 0.4472 0.4472 0.4472 0.4472 0.0300 0.0300 0.0300 0.0300 0.0300
a2* 9.53 0.0318 1 1 1 1 1 0.4472 0.4472 0.4472 0.4472 0.4472 0.0142 0.0142 0.0142 0.0142 0.0142
a3* 18.13 0.0604 1 1 1 1 1 0.4472 0.4472 0.4472 0.4472 0.4472 0.0270 0.0270 0.0270 0.0270 0.0270
a4 20.08 0.0669 2436.5 943.1 149.8 730.1 319.5 0.8907 0.3447 0.0547 0.2669 0.1168 0.0596 0.0231 0.0037 0.0179 0.0078
a5 11.76 0.0392 96.00 19.60 34.07 41.94 17.74 0.8474 0.1730 0.3007 0.3702 0.1566 0.0332 0.0068 0.0118 0.0145 0.0061
a6 12.21 0.0407 23.60 12.47 16.03 15.09 10.91 0.6506 0.3438 0.4418 0.4159 0.3006 0.0265 0.0140 0.0180 0.0169 0.0122
a7 10.32 0.0344 0.071 0.056 0.052 0.052 0.070 0.5186 0.4126 0.3848 0.3828 0.5160 0.0178 0.0142 0.0132 0.0132 0.0177
a8* 15.42 0.0514 1 1 1 1 1 0.4472 0.4472 0.4472 0.4472 0.4472 0.0230 0.0230 0.0230 0.0230 0.0230
a9* 17.79 0.0593 1 1 1 1 1 0.4472 0.4472 0.4472 0.4472 0.4472 0.0265 0.0265 0.0265 0.0265 0.0265
a10 12.08 0.0403 19 2 39 11 44 0.3026 0.0319 0.6211 0.1752 0.7007 0.0122 0.0013 0.0250 0.0071 0.0282
a11 12.08 0.0403 5 8 3 2 30 0.1580 0.2527 0.0948 0.0632 0.9477 0.0064 0.0102 0.0038 0.0025 0.0382
a12 6.82 0.0227 24 12 18 9 10 0.6857 0.3429 0.5143 0.2571 0.2857 0.0156 0.0078 0.0117 0.0058 0.0065
a13 6.82 0.0227 14 10 11 9 6 0.6058 0.4327 0.4760 0.3895 0.2596 0.0138 0.0098 0.0108 0.0088 0.0059
a14 5.79 0.0193 88 26 27 15 28 0.8731 0.2580 0.2679 0.1488 0.2778 0.0169 0.0050 0.0052 0.0029 0.0054
a15 9.39 0.0313 100 100 100 89.98 100 0.4560 0.4560 0.4560 0.4103 0.4560 0.0143 0.0143 0.0143 0.0128 0.0143
a16 7.50 0.025 0.5 0.5 0.5 0.5 0.5 0.4472 0.4472 0.4472 0.4472 0.4472 0.0112 0.0112 0.0112 0.0112 0.0112
a17 15.03 0.0501 100 93 100 89.98 100 0.4625 0.4301 0.4625 0.4162 0.4625 0.0232 0.0216 0.0232 0.0208 0.0232
a18 9.68 0.0323 4.4 4.3 0.3 4.0 1.9 0.5783 0.5680 0.0365 0.5297 0.2472 0.0187 0.0183 0.0012 0.0171 0.0080
a19 10.13 0.0338 4 8 4 4 4 0.3536 0.7071 0.3536 0.3536 0.3536 0.0120 0.0239 0.0120 0.0120 0.0120
a20 13.55 0.0452 100 100 100 100 100 0.4472 0.4472 0.4472 0.4472 0.4472 0.0202 0.0202 0.0202 0.0202 0.0202
a21 14.71 0.049 100 100 100 100 100 0.4472 0.4472 0.4472 0.4472 0.4472 0.0219 0.0219 0.0219 0.0219 0.0219
a22 17.61 0.0587 57.25 55.5 44.26 38.51 31.17 0.5516 0.5348 0.4265 0.3711 0.3003 0.0324 0.0314 0.0250 0.0218 0.0176
a23 11.76 0.0392 86.26 73.86 81.96 80.85 71.83 0.4875 0.4174 0.4632 0.4569 0.4059 0.0191 0.0164 0.0182 0.0179 0.0159
a24 11.68 0.0389 10.86 10.42 9.79 9.29 8.45 0.4957 0.4756 0.4468 0.4240 0.3857 0.0193 0.0185 0.0174 0.0165 0.0150

*Represents qualitative items: positive items were valued as 1, and the negative items were valued as 0.

RSR, rank sum ratio.