Appendix 2 – Example of statistical evaluation within one period
Median Calculation and Marking Strange Data
PK – Mehlich 3 soil extraction and pH
Mg [mg/kg]
Sample 5721 5795 5701
Laboratory
2778 169 239 143
2901 172 254 136 /POE
3183 163 243 135 /FBA
3425 170 233 153 /FAA
3555 165 243 146 /FAB
3754 172 252 143 XXX/FAA
4451 176 254 145 XXX/FAA
4493 182 260 149
4655 173 250 147 /FAA
4840 179 239 147 /FAA
5509 170 241 137 /POE
5662 174 251 145 /POE
5993 173 249 148 /FAA
6019 183 ** 254 143 /FAA
6203 169 249 139 /FAB
6569 171 238 141 /POE
6664 169 237 133
6891 171 243 140 /FAA
6897 176 254 144 /POE
6933 179 254 145
6974 190 ** 280 ** 148 /POE
8102 172 246 140
8408 173 254 140 /FAB
8662 167 236 137 /FAA
8810 173 249 145 /FAA
8935 165 247 132 /FAA
8984 168 243 147
9467 172 247 138
Median 1 172.0 247.0 143.0
MAD 1 3.0 6.0 4.0
1st limit 10.1 20.2 13.5
Median 2 172.0 247.0 143.0
MAD 2 3.0 5.0 4.0
2nd limit 10.2 16.9 13.5
Appendix 2 – Example of statistical evaluation within one period
The Results of Horn Procedure for the Small Sample Sizes
PD - 2M cold HNO3 soil extraction
V [mg/kg]
Sample 5721 5795 5701
Laboratory
1152 7.17 14.40 8.56 KD1/POE
3183 6.62 13.23 ** 8.39 KD1/FBA
3555 6.65 14.57 7.90 KD1/FBA
3754 6.75 14.23 8.93 KD1/POE
4633 6.20 14.76 7.87 KD1/POE
5509 6.73 14.50 8.35 KD1/POE
5662 6.84 15.80 8.55 KD1/POE
6569 6.60 14.78 7.88 KD1/POE
6974 6.90 15.13 8.80 KD1/POE
7590 6.21 16.18 9.60 KD1/FBA
8408 7.00 16.00 8.50 /ICP
Median 1 6.730 14.760 8.500
MAD 1 0.130 0.370 0.300
1st limit 0.532 1.514 1.227
Median 2 6.730 14.770 8.500
MAD 2 0.130 0.365 0.300
2nd limit 0.532 1.540 1.227
X_Horn 6.750 15.100 8.350
S_Horn 0.164 0.763 0.491
Appendix 2 – Example of statistical evaluation within one period
Calculation and Demonstration of Z-score
RZ - Macronutrients
Year : 2008 period: 1 parameter: N_Kjel [%]
sample: 9078 N: 32 rob.aver.: 4.188 rob.s.d.: 0.083
-5-4-3-2-1 0 1 2 3 4 5
Lab. Value Z-score │ │ │ │ │ │ │ │ │ │ │
1605 2.11 -25.04 !! ◄══════════╣
8578 3.25 -11.30 !! ◄══════════╣
7337 4.06 -1.54 ═══╣
5649 4.08 -1.30 ═══╣
9206 4.09 -1.18 ══╣
5092 4.09 -1.18 ══╣
1692 4.09 -1.18 ══╣
5175 4.12 -0.82 ══╣
6751 4.14 -0.58 ═╣
1288 4.14 -0.58 ═╣
9348 4.15 -0.46 ═╣
5782 4.16 -0.34 ═╣
1880 4.17 -0.22 ║
2506 4.17 -0.22 ║
9016 4.19 0.02 ║
9754 4.20 0.14 ║
6454 4.21 0.27 ╠═
2644 4.21 0.27 ╠═
6014 4.22 0.39 ╠═
1209 4.22 0.39 ╠═
2797 4.23 0.51 ╠═
7764 4.23 0.51 ╠═
6162 4.23 0.51 ╠═
4592 4.23 0.51 ╠═
3793 4.23 0.51 ╠═
1393 4.25 0.75 ╠══
2378 4.26 0.87 ╠══
8765 4.27 0.99 ╠══
5995 4.27 0.99 ╠══
9343 4.31 1.47 ╠═══
2955 4.31 1.47 ╠═══
1042 5.97 21.47 !! ╠══════════►