PCA.biplot_no.SN: The Principal Component Analysis (PCA) biplot with the labels...
In PLSbiplot1: The Partial Least Squares (PLS) Biplot
Description
Usage
Arguments
Value
Author(s)
Examples
Description
Takes in a samples by variables data matrix and produces a PCA biplot, where the labels of the samples points excluded.
Usage
1
PCA.biplot_no.SN(D, method = NULL, ax.tickvec.D = NULL, ...)
Arguments
D
A samples by variables data matrix
method
the mod.PCA algorithm
ax.tickvec.D
tick marker length per axis in the PCA biplot
...
Other arguments. Currently ignored
Value
The PCA biplot of D with some parameters
Author(s)
Opeoluwa F. Oyedele and Sugnet Gardner-Lubbe
Examples
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
if(require(pls))
data(oliveoil, package="pls")
Dmat = as.matrix(oliveoil) #(16x11) overall original data matrix
dimnames(Dmat) = list(paste(c("G1","G2","G3","G4","G5","I1","I2","I3","I4","I5",
"S1","S2","S3","S4","S5","S6")),
paste(c("Acidity","Peroxide","K232","K270","DK","Yellow","Green","Brown",
"Glossy","Transp","Syrup")))
PCA.biplot_no.SN(D=Dmat, method=mod.PCA, ax.tickvec.D=c(8,5,5,7,6,4,5,5,8,7,7))
#glass data
if(require(chemometrics))
data(glass, package="chemometrics")
Dmat = matrix(glass,ncol=13)
dimnames(Dmat) = list(1:180, paste(c("Na2O", "MgO", "Al2O3", "SiO2",
"P2O5", "SO3", "Cl", "K2O", "CaO", "MnO", "Fe2O3", "BaO", "PbO")))
PCA.biplot_no.SN(D=Dmat, method=mod.PCA, ax.tickvec.D=rep(5,ncol(Dmat)))
Example output
Loading required package: pls
Attaching package: 'pls'
The following object is masked from 'package:stats':
loadings
$overall.quality
[1] 0.99
$axis.pred
Acidity Peroxide K232 K270 DK Yellow Green Brown
0.935 0.993 0.997 0.987 0.635 0.978 0.940 0.981
Glossy Transp Syrup
0.998 0.997 0.999
$sample.pred
G1 G2 G3 G4 G5 I1 I2 I3 I4 I5 S1 S2 S3
0.946 0.981 0.988 0.962 1.206 1.084 1.029 0.877 0.960 0.953 0.980 0.974 1.068
S4 S5 S6
0.994 0.974 0.950
$D.hat
Acidity Peroxide K232 K270 DK Yellow Green Brown Glossy Transp
G1 0.654 13.24 1.79 0.1436 0.000781 17.0 76.84 8.35 76.0 69.8
G2 0.402 13.92 1.78 0.1282 -0.000893 39.9 46.98 12.23 78.5 74.7
G3 0.380 11.06 1.56 0.1124 -0.001863 50.9 35.48 8.44 83.2 80.7
G4 0.543 13.02 1.75 0.1343 -0.000101 28.7 62.14 9.32 77.9 73.0
G5 0.466 12.12 1.66 0.1241 -0.000923 39.0 49.68 8.94 80.4 76.5
I1 0.291 19.34 2.15 0.1465 -0.000195 34.4 49.28 21.19 71.8 67.2
I2 0.290 13.97 1.76 0.1200 -0.001712 50.9 32.89 13.60 80.0 77.4
I3 0.396 16.23 1.95 0.1391 -0.000289 33.4 53.20 15.57 75.1 70.5
I4 0.256 13.52 1.71 0.1153 -0.002086 55.6 27.29 13.36 81.2 79.0
I5 0.111 20.48 2.19 0.1386 -0.001208 48.7 29.93 24.89 72.6 69.5
S1 0.180 10.79 1.50 0.0962 -0.003423 71.5 9.26 10.39 86.4 86.1
S2 0.221 9.24 1.39 0.0917 -0.003547 72.1 9.89 7.72 88.2 88.0
S3 0.238 12.32 1.62 0.1081 -0.002559 61.0 21.33 11.87 83.3 81.8
S4 0.175 12.03 1.59 0.1020 -0.003104 68.1 12.50 12.19 84.6 83.8
S5 0.194 10.19 1.46 0.0943 -0.003482 71.9 9.32 9.36 87.1 86.9
S6 0.193 10.54 1.48 0.0959 -0.003395 71.0 10.18 9.88 86.6 86.2
Syrup
G1 49.3
G2 48.9
G3 46.5
G4 48.7
G5 47.7
I1 52.8
I2 48.5
I3 50.7
I4 48.0
I5 53.0
S1 45.5
S2 44.4
S3 46.9
S4 46.5
S5 45.0
S6 45.3
Loading required package: chemometrics
Loading required package: rpart
$overall.quality
[1] 0.997
$axis.pred
Na2O MgO Al2O3 SiO2 P2O5 SO3 Cl K2O CaO MnO Fe2O3 BaO PbO
0.990 0.952 0.977 0.999 0.910 0.815 0.963 0.966 0.967 0.876 0.964 0.779 0.611
$sample.pred
1 2 3 4 5 6 7 8 9 10 11 12 13
0.980 0.997 1.041 1.045 0.988 0.897 1.021 0.965 0.983 0.997 0.941 0.928 0.996
14 15 16 17 18 19 20 21 22 23 24 25 26
0.992 0.994 1.008 0.986 0.998 0.937 1.123 0.927 1.074 1.028 0.949 0.996 0.976
27 28 29 30 31 32 33 34 35 36 37 38 39
1.019 1.081 0.939 1.169 1.048 0.979 1.044 1.035 1.106 1.105 1.077 1.053 1.079
40 41 42 43 44 45 46 47 48 49 50 51 52
1.019 1.038 1.025 1.078 1.129 1.133 1.088 1.089 1.097 1.113 1.092 1.073 1.072
53 54 55 56 57 58 59 60 61 62 63 64 65
1.101 1.069 1.119 1.155 0.934 0.983 1.002 1.015 0.955 0.965 0.975 0.961 0.953
66 67 68 69 70 71 72 73 74 75 76 77 78
1.031 0.941 0.993 1.037 1.023 1.027 1.032 0.958 0.904 0.893 0.925 0.989 0.936
79 80 81 82 83 84 85 86 87 88 89 90 91
0.972 0.920 0.984 1.032 1.005 1.098 1.090 1.013 1.002 1.034 1.024 1.014 0.975
92 93 94 95 96 97 98 99 100 101 102 103 104
0.981 1.006 0.996 1.117 1.011 1.000 1.006 1.004 1.039 1.019 1.046 0.992 1.110
105 106 107 108 109 110 111 112 113 114 115 116 117
1.103 1.113 1.059 1.049 0.987 1.094 1.042 1.036 0.986 1.039 1.027 0.930 0.998
118 119 120 121 122 123 124 125 126 127 128 129 130
0.949 0.940 1.037 1.031 1.047 1.134 1.039 0.925 0.932 0.933 0.948 0.954 0.943
131 132 133 134 135 136 137 138 139 140 141 142 143
0.982 0.953 0.937 0.952 0.947 0.925 0.959 0.941 0.930 0.946 0.952 0.965 0.954
144 145 146 147 148 149 150 151 152 153 154 155 156
0.951 0.981 0.980 0.938 0.953 0.992 0.915 0.958 0.958 0.970 0.948 0.957 0.962
157 158 159 160 161 162 163 164 165 166 167 168 169
0.950 0.906 0.976 0.928 0.976 0.952 0.950 0.946 0.969 0.956 0.983 0.983 0.953
170 171 172 173 174 175 176 177 178 179 180
0.927 0.982 0.946 0.943 0.947 0.991 0.978 0.987 0.938 0.980 1.111
$D.hat
Na2O MgO Al2O3 SiO2 P2O5 SO3 Cl K2O CaO MnO Fe2O3
1 15.2461 2.46 1.53 66.8 0.47970 0.1754 0.742 3.39 8.39 0.520 0.387
2 15.0245 2.43 1.53 66.8 0.46760 0.1737 0.730 3.66 8.29 0.514 0.386
3 14.2806 2.86 1.86 64.8 0.86392 0.1709 0.721 2.63 10.98 0.703 0.460
4 15.0947 2.77 1.74 65.4 0.74917 0.1761 0.753 2.35 10.25 0.648 0.437
5 16.5330 2.26 1.31 68.0 0.25174 0.1833 0.788 3.15 6.91 0.410 0.341
6 13.2263 2.68 1.81 65.3 0.76206 0.1624 0.664 4.10 10.19 0.655 0.445
7 13.9738 2.82 1.85 64.9 0.84261 0.1685 0.705 3.02 10.81 0.693 0.457
8 17.0996 2.06 1.15 69.0 0.05991 0.1861 0.802 3.45 5.62 0.319 0.304
9 15.9799 2.34 1.41 67.5 0.34777 0.1799 0.768 3.26 7.53 0.456 0.360
10 15.3215 2.65 1.65 65.9 0.64268 0.1771 0.756 2.60 9.53 0.597 0.416
11 15.2732 2.42 1.51 66.9 0.44967 0.1754 0.741 3.50 8.18 0.505 0.381
12 15.4366 2.40 1.48 67.0 0.42710 0.1764 0.747 3.44 8.04 0.494 0.377
13 16.6835 2.21 1.27 68.2 0.20728 0.1841 0.792 3.20 6.61 0.389 0.332
14 16.1788 2.30 1.37 67.7 0.30594 0.1810 0.775 3.26 7.26 0.436 0.352
15 15.0088 2.66 1.68 65.8 0.66362 0.1749 0.743 2.81 9.65 0.607 0.421
16 17.1172 2.22 1.25 68.3 0.19584 0.1872 0.812 2.83 6.57 0.383 0.329
17 15.5167 2.33 1.43 67.4 0.36360 0.1766 0.747 3.64 7.61 0.464 0.365
18 16.9562 2.23 1.27 68.2 0.20837 0.1861 0.805 2.93 6.64 0.390 0.332
19 8.8772 1.56 1.37 69.0 0.01197 0.1251 0.405 11.61 4.63 0.301 0.324
20 5.0392 1.34 1.49 68.9 0.00651 0.0967 0.220 15.34 4.28 0.301 0.337
21 7.0389 1.58 1.51 68.4 0.11832 0.1123 0.324 12.91 5.22 0.353 0.350
22 6.1053 1.15 1.30 70.0 -0.20098 0.1032 0.257 15.22 2.93 0.202 0.295
23 4.6350 1.10 1.36 69.8 -0.17697 0.0925 0.188 16.54 2.98 0.214 0.305
24 5.5887 1.34 1.46 69.0 -0.01894 0.1006 0.245 14.92 4.15 0.289 0.330
25 9.4101 1.72 1.45 68.4 0.12757 0.1298 0.438 10.58 5.48 0.356 0.343
26 7.6597 1.40 1.36 69.3 -0.06139 0.1156 0.341 13.11 4.02 0.267 0.315
27 8.2520 1.50 1.38 69.1 -0.00953 0.1203 0.373 12.31 4.43 0.292 0.323
28 5.8267 1.34 1.44 69.1 -0.02565 0.1023 0.256 14.72 4.12 0.285 0.328
29 8.9673 1.51 1.34 69.2 -0.02914 0.1255 0.406 11.70 4.35 0.282 0.316
30 3.8673 1.08 1.40 69.7 -0.15853 0.0869 0.153 17.20 3.04 0.224 0.311
31 6.5968 1.32 1.38 69.4 -0.07759 0.1076 0.289 14.20 3.83 0.260 0.316
32 7.5568 1.43 1.38 69.1 -0.03097 0.1151 0.338 13.07 4.23 0.282 0.321
33 6.2745 1.30 1.38 69.4 -0.08615 0.1052 0.273 14.55 3.74 0.256 0.316
34 15.1325 2.38 1.49 67.1 0.41823 0.1741 0.732 3.77 7.95 0.490 0.376
35 15.5584 2.43 1.49 67.0 0.44421 0.1774 0.754 3.25 8.17 0.502 0.380
36 15.5570 2.38 1.46 67.2 0.40351 0.1771 0.752 3.43 7.89 0.483 0.372
37 11.9875 2.30 1.65 66.6 0.50011 0.1515 0.587 6.45 8.27 0.531 0.402
38 14.5109 2.33 1.50 67.1 0.40690 0.1694 0.702 4.42 7.83 0.485 0.376
39 15.7108 2.22 1.35 67.9 0.25864 0.1773 0.749 3.92 6.89 0.414 0.345
40 15.3161 2.47 1.53 66.7 0.48762 0.1759 0.746 3.29 8.45 0.523 0.388
41 13.4570 2.49 1.67 66.2 0.58974 0.1629 0.663 4.64 9.01 0.573 0.413
42 14.7401 2.43 1.55 66.7 0.48397 0.1717 0.718 3.86 8.38 0.522 0.390
43 12.0701 2.38 1.69 66.3 0.55974 0.1525 0.595 6.11 8.69 0.560 0.413
44 12.4136 2.56 1.79 65.5 0.70120 0.1560 0.621 5.15 9.70 0.627 0.437
45 13.1107 2.57 1.75 65.7 0.67716 0.1610 0.653 4.59 9.59 0.615 0.430
46 12.2854 2.37 1.68 66.3 0.54741 0.1540 0.604 5.96 8.62 0.554 0.410
47 11.9775 2.37 1.70 66.3 0.56061 0.1518 0.590 6.19 8.69 0.560 0.413
48 11.4583 2.40 1.75 66.0 0.60365 0.1483 0.568 6.51 8.95 0.581 0.423
49 14.6650 2.37 1.52 67.0 0.43702 0.1708 0.711 4.14 8.05 0.500 0.381
50 12.2582 2.41 1.70 66.2 0.57796 0.1540 0.605 5.85 8.83 0.568 0.415
51 12.2982 2.46 1.73 66.0 0.62019 0.1546 0.610 5.62 9.13 0.588 0.423
52 15.5208 2.26 1.38 67.7 0.30162 0.1762 0.743 3.91 7.18 0.435 0.354
53 12.7099 2.40 1.67 66.3 0.55053 0.1572 0.625 5.53 8.68 0.555 0.409
54 14.0738 2.47 1.62 66.4 0.54690 0.1672 0.690 4.23 8.76 0.552 0.403
55 12.7359 2.61 1.80 65.4 0.72877 0.1586 0.638 4.72 9.92 0.639 0.441
56 14.2918 2.60 1.69 65.9 0.64543 0.1695 0.707 3.58 9.46 0.599 0.421
57 3.3166 4.18 3.46 56.1 2.48711 0.1014 0.305 6.08 21.37 1.481 0.794
58 1.9516 4.61 3.83 53.9 2.91318 0.0943 0.269 5.52 24.22 1.684 0.876
59 -0.0953 4.70 4.02 53.0 3.08031 0.0803 0.182 6.77 25.22 1.765 0.913
60 -0.2021 4.55 3.93 53.6 2.95861 0.0787 0.168 7.41 24.36 1.707 0.892
61 3.7839 3.96 3.28 57.2 2.27402 0.1033 0.313 6.57 19.93 1.379 0.753
62 1.2953 4.48 3.79 54.3 2.82732 0.0888 0.231 6.54 23.57 1.644 0.863
63 1.7317 4.49 3.77 54.4 2.82338 0.0920 0.252 6.13 23.58 1.641 0.860
64 4.8493 3.39 2.84 60.0 1.74400 0.1075 0.328 7.87 16.33 1.127 0.653
65 4.7477 3.39 2.85 59.9 1.75372 0.1068 0.324 7.93 16.39 1.131 0.655
66 5.2080 3.10 2.63 61.3 1.48891 0.1083 0.328 8.65 14.59 1.005 0.606
67 5.9786 3.20 2.64 61.1 1.53851 0.1144 0.369 7.69 15.00 1.028 0.612
68 4.8017 3.13 2.67 61.1 1.52761 0.1056 0.312 8.87 14.83 1.024 0.614
69 3.5255 3.01 2.68 61.3 1.48418 0.0959 0.247 10.30 14.42 1.004 0.611
70 3.6737 3.09 2.72 61.0 1.54430 0.0974 0.259 9.89 14.85 1.033 0.621
71 5.2296 2.98 2.54 61.9 1.37933 0.1077 0.322 9.11 13.83 0.953 0.586
72 3.5704 2.98 2.66 61.4 1.46037 0.0961 0.248 10.36 14.26 0.993 0.606
73 6.3616 2.67 2.27 63.5 1.07195 0.1139 0.356 9.37 11.79 0.807 0.526
74 5.3823 3.69 3.00 58.8 1.97982 0.1131 0.370 6.32 18.01 1.238 0.694
75 5.3007 3.76 3.05 58.5 2.03894 0.1129 0.370 6.14 18.42 1.267 0.705
76 2.7551 4.10 3.44 56.4 2.44241 0.0969 0.275 6.82 21.02 1.460 0.787
77 16.6001 2.25 1.31 68.0 0.24746 0.1837 0.791 3.11 6.89 0.408 0.340
78 15.3013 1.79 1.09 69.7 -0.08484 0.1718 0.706 5.82 4.47 0.251 0.284
79 15.6578 2.03 1.22 68.7 0.10021 0.1758 0.736 4.67 5.79 0.339 0.317
80 14.6793 2.11 1.34 68.1 0.21392 0.1693 0.697 5.11 6.50 0.394 0.341
81 14.2877 2.14 1.39 67.9 0.25454 0.1667 0.681 5.31 6.75 0.413 0.349
82 13.8071 2.53 1.68 66.0 0.61273 0.1657 0.682 4.20 9.20 0.584 0.416
83 18.0890 2.12 1.12 69.0 0.06634 0.1935 0.850 2.47 5.75 0.321 0.302
84 14.8640 2.21 1.40 67.7 0.29115 0.1712 0.711 4.59 7.05 0.430 0.354
85 14.2125 2.28 1.49 67.2 0.37960 0.1670 0.685 4.83 7.61 0.473 0.372
86 15.5773 2.54 1.56 66.5 0.53661 0.1782 0.762 2.82 8.81 0.546 0.396
87 16.1605 2.49 1.49 66.9 0.46296 0.1820 0.785 2.58 8.35 0.511 0.381
88 13.8225 2.49 1.65 66.3 0.57044 0.1655 0.680 4.37 8.91 0.564 0.409
89 13.8712 2.49 1.64 66.3 0.56810 0.1658 0.682 4.33 8.89 0.562 0.408
90 13.5955 2.59 1.73 65.8 0.66514 0.1645 0.675 4.17 9.55 0.609 0.427
91 15.1169 2.03 1.26 68.6 0.12583 0.1719 0.712 5.08 5.92 0.351 0.323
92 14.5248 2.16 1.39 67.8 0.26522 0.1686 0.693 5.03 6.84 0.418 0.351
93 16.0698 2.48 1.49 66.9 0.46342 0.1813 0.780 2.67 8.34 0.511 0.381
94 14.6500 2.38 1.52 66.9 0.44597 0.1707 0.711 4.12 8.11 0.504 0.383
95 13.3903 2.45 1.65 66.3 0.56115 0.1622 0.658 4.83 8.81 0.559 0.408
96 16.1968 2.42 1.44 67.2 0.40756 0.1819 0.783 2.79 7.97 0.485 0.371
97 15.1527 2.52 1.58 66.5 0.53590 0.1751 0.741 3.24 8.77 0.546 0.398
98 15.8068 2.45 1.49 67.0 0.44689 0.1793 0.766 2.99 8.21 0.504 0.379
99 13.6575 2.35 1.57 66.8 0.46112 0.1635 0.664 5.01 8.13 0.512 0.389
100 16.5657 2.43 1.43 67.2 0.39884 0.1846 0.800 2.47 7.93 0.480 0.368
101 16.7013 2.46 1.43 67.2 0.41246 0.1856 0.807 2.28 8.04 0.487 0.370
102 11.7846 2.35 1.70 66.3 0.55069 0.1503 0.581 6.42 8.61 0.555 0.412
103 11.0792 2.51 1.85 65.4 0.71927 0.1463 0.558 6.36 9.72 0.636 0.445
104 15.2850 2.38 1.48 67.1 0.41220 0.1752 0.739 3.65 7.92 0.487 0.375
105 14.8109 2.42 1.54 66.8 0.47351 0.1721 0.720 3.84 8.31 0.517 0.387
106 12.8011 2.44 1.69 66.2 0.57972 0.1580 0.631 5.31 8.89 0.569 0.414
107 14.3111 2.72 1.76 65.4 0.74504 0.1703 0.715 3.13 10.16 0.646 0.439
108 14.6218 2.25 1.44 67.5 0.33098 0.1697 0.702 4.65 7.31 0.449 0.362
109 10.2935 2.02 1.58 67.3 0.33754 0.1378 0.495 8.80 7.01 0.455 0.379
110 15.4377 2.40 1.48 67.1 0.42416 0.1764 0.747 3.45 8.02 0.493 0.376
111 16.8167 2.44 1.41 67.3 0.39307 0.1864 0.811 2.26 7.91 0.477 0.366
112 14.4640 2.37 1.53 66.9 0.44632 0.1694 0.702 4.29 8.10 0.504 0.384
113 14.3388 2.47 1.60 66.5 0.53561 0.1691 0.702 4.02 8.71 0.547 0.400
114 14.1233 2.40 1.57 66.7 0.48030 0.1671 0.688 4.47 8.30 0.521 0.391
115 12.8667 2.54 1.75 65.8 0.66135 0.1591 0.640 4.89 9.46 0.607 0.428
116 17.2416 2.03 1.12 69.1 0.03212 0.1870 0.807 3.43 5.44 0.306 0.299
117 14.1780 2.01 1.31 68.4 0.15228 0.1652 0.668 5.87 6.03 0.365 0.331
118 15.8573 1.96 1.16 69.1 0.03082 0.1767 0.741 4.78 5.32 0.306 0.303
119 14.9191 2.08 1.30 68.3 0.17380 0.1708 0.705 5.06 6.24 0.374 0.333
120 12.9351 2.14 1.48 67.5 0.32026 0.1572 0.620 6.33 7.10 0.445 0.366
121 14.4288 2.30 1.48 67.2 0.38608 0.1687 0.696 4.59 7.67 0.476 0.373
122 16.7117 2.46 1.44 67.1 0.41932 0.1858 0.808 2.24 8.09 0.490 0.371
123 15.2315 2.38 1.48 67.1 0.41686 0.1748 0.737 3.68 7.95 0.490 0.376
124 12.8333 2.43 1.67 66.3 0.56656 0.1582 0.632 5.34 8.80 0.562 0.411
125 11.2231 2.00 1.50 67.7 0.27617 0.1443 0.535 8.18 6.65 0.425 0.364
126 11.4619 1.93 1.44 68.1 0.20600 0.1455 0.542 8.25 6.19 0.392 0.351
127 11.6692 1.92 1.42 68.1 0.19202 0.1470 0.551 8.12 6.11 0.385 0.347
128 16.4439 1.82 1.04 69.8 -0.11018 0.1801 0.759 4.83 4.39 0.239 0.276
129 11.8936 1.98 1.45 67.9 0.23546 0.1489 0.564 7.71 6.42 0.406 0.354
130 15.4439 2.25 1.38 67.7 0.29847 0.1756 0.739 4.00 7.15 0.433 0.353
131 14.0548 2.21 1.45 67.5 0.32607 0.1655 0.674 5.22 7.23 0.447 0.363
132 16.8698 1.86 1.04 69.8 -0.09475 0.1833 0.781 4.35 4.53 0.246 0.277
133 16.4782 1.93 1.11 69.4 -0.01837 0.1810 0.767 4.39 5.03 0.282 0.292
134 16.9206 1.87 1.04 69.7 -0.08935 0.1838 0.784 4.28 4.57 0.248 0.278
135 11.6798 1.99 1.47 67.8 0.25428 0.1475 0.555 7.83 6.54 0.415 0.359
136 13.0841 2.09 1.44 67.8 0.27029 0.1580 0.624 6.40 6.76 0.421 0.357
137 14.7081 2.00 1.27 68.6 0.11928 0.1689 0.692 5.50 5.84 0.349 0.323
138 13.5541 2.11 1.42 67.8 0.26913 0.1614 0.646 5.95 6.79 0.421 0.355
139 11.6604 2.05 1.51 67.6 0.30065 0.1477 0.558 7.65 6.86 0.437 0.367
140 14.6401 2.03 1.29 68.5 0.14508 0.1686 0.690 5.45 6.02 0.361 0.328
141 16.7060 1.87 1.05 69.7 -0.08351 0.1822 0.774 4.46 4.60 0.251 0.280
142 14.6925 2.02 1.29 68.5 0.13890 0.1689 0.692 5.43 5.98 0.358 0.327
143 14.9063 1.97 1.24 68.8 0.08592 0.1701 0.699 5.45 5.63 0.333 0.317
144 14.5160 2.18 1.40 67.8 0.28169 0.1686 0.693 4.97 6.96 0.426 0.354
145 15.5265 1.93 1.17 69.1 0.02260 0.1742 0.724 5.13 5.24 0.302 0.303
146 15.0795 2.10 1.31 68.2 0.19027 0.1721 0.714 4.83 6.37 0.382 0.335
147 14.5641 2.11 1.35 68.1 0.22055 0.1685 0.692 5.19 6.54 0.397 0.342
148 15.7009 2.02 1.22 68.8 0.09146 0.1760 0.737 4.66 5.73 0.335 0.315
149 12.7931 2.05 1.43 67.9 0.24728 0.1556 0.608 6.79 6.58 0.411 0.353
150 13.4615 2.26 1.52 67.1 0.39550 0.1616 0.650 5.49 7.66 0.481 0.378
151 15.1744 2.04 1.27 68.5 0.13409 0.1724 0.715 4.98 5.98 0.355 0.324
152 12.7768 1.85 1.30 68.7 0.08454 0.1544 0.597 7.52 5.45 0.333 0.324
153 14.5702 2.26 1.45 67.4 0.34420 0.1694 0.700 4.64 7.39 0.456 0.365
154 14.2226 2.01 1.31 68.4 0.14638 0.1655 0.670 5.85 5.99 0.362 0.330
155 14.7475 2.24 1.43 67.6 0.32314 0.1706 0.707 4.56 7.26 0.445 0.360
156 14.3881 2.26 1.46 67.4 0.35179 0.1681 0.692 4.78 7.43 0.459 0.367
157 15.8353 1.95 1.16 69.1 0.02538 0.1765 0.739 4.82 5.28 0.303 0.302
158 13.4476 2.25 1.52 67.2 0.38710 0.1615 0.649 5.54 7.60 0.477 0.376
159 15.3706 1.94 1.19 69.0 0.03708 0.1732 0.718 5.22 5.33 0.309 0.306
160 13.8680 2.22 1.47 67.4 0.34527 0.1643 0.667 5.32 7.35 0.457 0.367
161 15.2403 1.91 1.18 69.1 0.02030 0.1721 0.710 5.42 5.20 0.301 0.304
162 14.3338 2.41 1.56 66.7 0.48145 0.1687 0.698 4.27 8.33 0.521 0.391
163 14.6445 2.00 1.27 68.6 0.12313 0.1684 0.689 5.54 5.87 0.350 0.324
164 15.6470 2.03 1.23 68.7 0.10383 0.1757 0.736 4.66 5.81 0.341 0.317
165 12.3658 2.08 1.48 67.6 0.29276 0.1528 0.591 7.00 6.86 0.433 0.363
166 14.2473 2.40 1.56 66.7 0.47871 0.1680 0.694 4.36 8.30 0.520 0.390
167 13.7304 2.10 1.40 67.9 0.25194 0.1626 0.654 5.86 6.69 0.412 0.351
168 11.0684 2.00 1.52 67.6 0.28744 0.1432 0.528 8.28 6.72 0.431 0.367
169 14.5041 2.16 1.39 67.8 0.26433 0.1684 0.692 5.06 6.83 0.418 0.350
170 14.5839 1.98 1.27 68.6 0.11215 0.1679 0.685 5.65 5.78 0.345 0.323
171 15.2480 1.96 1.21 68.9 0.06286 0.1725 0.714 5.23 5.50 0.321 0.311
172 14.5226 2.08 1.33 68.2 0.19403 0.1680 0.688 5.35 6.35 0.384 0.338
173 14.3882 2.14 1.39 67.9 0.25583 0.1675 0.685 5.21 6.77 0.414 0.349
174 14.2834 2.19 1.42 67.7 0.30038 0.1670 0.683 5.11 7.07 0.435 0.358
175 11.8125 2.00 1.47 67.8 0.25504 0.1485 0.562 7.70 6.55 0.415 0.358
176 11.3471 2.10 1.56 67.3 0.35979 0.1458 0.547 7.69 7.24 0.465 0.379
177 11.3595 2.01 1.50 67.7 0.28116 0.1453 0.542 8.02 6.70 0.428 0.365
178 13.9998 2.18 1.43 67.6 0.30405 0.1649 0.670 5.37 7.07 0.437 0.359
179 11.9872 2.08 1.51 67.5 0.31322 0.1502 0.574 7.27 6.97 0.442 0.368
180 11.1865 2.71 1.97 64.6 0.88099 0.1482 0.574 5.55 10.85 0.713 0.474
BaO PbO
1 0.06688 -0.167014
2 0.06648 -0.104482
3 0.10809 -0.424225
4 0.09390 -0.460981
5 0.03987 -0.168628
6 0.10185 -0.073044
7 0.10710 -0.332127
8 0.01899 -0.058493
9 0.05129 -0.165593
10 0.08263 -0.380858
11 0.06383 -0.136471
12 0.06103 -0.144396
13 0.03496 -0.147251
14 0.04647 -0.157828
15 0.08580 -0.338709
16 0.03229 -0.227056
17 0.05450 -0.084732
18 0.03409 -0.207471
19 0.04371 1.775502
20 0.05691 2.611068
21 0.06074 2.043622
22 0.03270 2.632302
23 0.04032 2.920777
24 0.05244 2.523218
25 0.05316 1.520294
26 0.04086 2.127394
27 0.04383 1.936591
28 0.05093 2.479965
29 0.03935 1.805886
30 0.04488 3.064230
31 0.04307 2.376602
32 0.04421 2.112752
33 0.04338 2.456583
34 0.06124 -0.067971
35 0.06227 -0.191452
36 0.05828 -0.141813
37 0.08055 0.512036
38 0.06236 0.080010
39 0.04349 0.000568
40 0.06741 -0.191748
41 0.08409 0.086002
42 0.06911 -0.062921
43 0.08611 0.421916
44 0.09878 0.176243
45 0.09393 0.054820
46 0.08413 0.390347
47 0.08653 0.440853
48 0.09262 0.500821
49 0.06476 0.010215
50 0.08723 0.359204
51 0.09123 0.299362
52 0.04840 -0.010495
53 0.08292 0.294895
54 0.07768 0.004722
55 0.10034 0.073221
56 0.08658 -0.161797
57 0.30684 -0.023788
58 0.35360 -0.245445
59 0.37735 -0.005959
60 0.36577 0.164642
61 0.28423 0.133566
62 0.34751 0.000381
63 0.34556 -0.089097
64 0.22833 0.545945
65 0.22965 0.556098
66 0.20198 0.777696
67 0.20410 0.551119
68 0.20724 0.818530
69 0.20753 1.146810
70 0.21291 1.041920
71 0.19113 0.905843
72 0.20503 1.165960
73 0.15688 1.033954
74 0.24960 0.144974
75 0.25570 0.090946
76 0.30446 0.151664
77 0.03921 -0.177944
78 0.01120 0.505377
79 0.02811 0.204051
80 0.04279 0.277563
81 0.04818 0.312905
82 0.08510 -0.017495
83 0.01608 -0.279972
84 0.04972 0.144061
85 0.06074 0.177556
86 0.07129 -0.307548
87 0.06196 -0.344221
88 0.08089 0.030459
89 0.08049 0.022771
90 0.09101 -0.035315
91 0.03257 0.289830
92 0.04838 0.248743
93 0.06233 -0.325190
94 0.06570 0.002602
95 0.08152 0.135053
96 0.05639 -0.284899
97 0.07274 -0.214975
98 0.06165 -0.248352
99 0.07074 0.198607
100 0.05421 -0.354025
101 0.05506 -0.399817
102 0.08624 0.494547
103 0.10533 0.442551
104 0.06011 -0.093613
105 0.06783 -0.065524
106 0.08546 0.239808
107 0.09630 -0.286719
108 0.05450 0.148095
109 0.07063 1.074965
110 0.06073 -0.141080
111 0.05274 -0.401237
112 0.06640 0.042357
113 0.07562 -0.038831
114 0.07096 0.074763
115 0.09324 0.126693
116 0.01575 -0.055478
117 0.03853 0.460557
118 0.02058 0.245086
119 0.03799 0.274396
120 0.05948 0.525384
121 0.06060 0.122982
122 0.05570 -0.410366
123 0.06076 -0.087695
124 0.08405 0.248815
125 0.06127 0.948579
126 0.05353 0.982053
127 0.05141 0.954227
128 0.00462 0.289296
129 0.05488 0.853110
130 0.04836 0.009936
131 0.05605 0.276488
132 0.00462 0.178630
133 0.01352 0.170607
134 0.00497 0.161087
135 0.05749 0.876484
136 0.05404 0.553765
137 0.03339 0.386064
138 0.05224 0.453659
139 0.06212 0.824459
140 0.03617 0.369481
141 0.00631 0.200360
142 0.03537 0.365644
143 0.02940 0.383686
144 0.05003 0.230702
145 0.02096 0.326502
146 0.03903 0.219790
147 0.04385 0.294405
148 0.02710 0.205354
149 0.05282 0.644511
150 0.06499 0.320479
151 0.03317 0.267401
152 0.03688 0.845299
153 0.05598 0.143217
154 0.03779 0.458081
155 0.05328 0.130441
156 0.05738 0.173330
157 0.02012 0.256426
158 0.06422 0.333670
159 0.02294 0.342622
160 0.05860 0.293582
161 0.02175 0.391100
162 0.07032 0.027909
163 0.03399 0.395127
164 0.02851 0.202019
165 0.05882 0.681679
166 0.07036 0.049895
167 0.04992 0.436432
168 0.06294 0.968329
169 0.04837 0.254304
170 0.03313 0.421520
171 0.02591 0.337858
172 0.04140 0.335520
173 0.04795 0.289644
174 0.05270 0.258271
175 0.05709 0.846900
176 0.06905 0.820430
177 0.06128 0.913078
178 0.05408 0.315086
179 0.06218 0.738627
180 0.12084 0.223349
PLSbiplot1 documentation built on May 2, 2019, 9:41 a.m.
R Package Documentation
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Description Usage Arguments Value Author(s) Examples
Description
Takes in a samples by variables data matrix and produces a PCA biplot, where the labels of the samples points excluded.
Usage
1 | PCA.biplot_no.SN(D, method = NULL, ax.tickvec.D = NULL, ...)
|
Arguments
D |
A samples by variables data matrix |
method |
the mod.PCA algorithm |
ax.tickvec.D |
tick marker length per axis in the PCA biplot |
... |
Other arguments. Currently ignored |
Value
The PCA biplot of D with some parameters
Author(s)
Opeoluwa F. Oyedele and Sugnet Gardner-Lubbe
Examples
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | if(require(pls))
data(oliveoil, package="pls")
Dmat = as.matrix(oliveoil) #(16x11) overall original data matrix
dimnames(Dmat) = list(paste(c("G1","G2","G3","G4","G5","I1","I2","I3","I4","I5",
"S1","S2","S3","S4","S5","S6")),
paste(c("Acidity","Peroxide","K232","K270","DK","Yellow","Green","Brown",
"Glossy","Transp","Syrup")))
PCA.biplot_no.SN(D=Dmat, method=mod.PCA, ax.tickvec.D=c(8,5,5,7,6,4,5,5,8,7,7))
#glass data
if(require(chemometrics))
data(glass, package="chemometrics")
Dmat = matrix(glass,ncol=13)
dimnames(Dmat) = list(1:180, paste(c("Na2O", "MgO", "Al2O3", "SiO2",
"P2O5", "SO3", "Cl", "K2O", "CaO", "MnO", "Fe2O3", "BaO", "PbO")))
PCA.biplot_no.SN(D=Dmat, method=mod.PCA, ax.tickvec.D=rep(5,ncol(Dmat)))
|
Example output
Loading required package: pls
Attaching package: 'pls'
The following object is masked from 'package:stats':
loadings
$overall.quality
[1] 0.99
$axis.pred
Acidity Peroxide K232 K270 DK Yellow Green Brown
0.935 0.993 0.997 0.987 0.635 0.978 0.940 0.981
Glossy Transp Syrup
0.998 0.997 0.999
$sample.pred
G1 G2 G3 G4 G5 I1 I2 I3 I4 I5 S1 S2 S3
0.946 0.981 0.988 0.962 1.206 1.084 1.029 0.877 0.960 0.953 0.980 0.974 1.068
S4 S5 S6
0.994 0.974 0.950
$D.hat
Acidity Peroxide K232 K270 DK Yellow Green Brown Glossy Transp
G1 0.654 13.24 1.79 0.1436 0.000781 17.0 76.84 8.35 76.0 69.8
G2 0.402 13.92 1.78 0.1282 -0.000893 39.9 46.98 12.23 78.5 74.7
G3 0.380 11.06 1.56 0.1124 -0.001863 50.9 35.48 8.44 83.2 80.7
G4 0.543 13.02 1.75 0.1343 -0.000101 28.7 62.14 9.32 77.9 73.0
G5 0.466 12.12 1.66 0.1241 -0.000923 39.0 49.68 8.94 80.4 76.5
I1 0.291 19.34 2.15 0.1465 -0.000195 34.4 49.28 21.19 71.8 67.2
I2 0.290 13.97 1.76 0.1200 -0.001712 50.9 32.89 13.60 80.0 77.4
I3 0.396 16.23 1.95 0.1391 -0.000289 33.4 53.20 15.57 75.1 70.5
I4 0.256 13.52 1.71 0.1153 -0.002086 55.6 27.29 13.36 81.2 79.0
I5 0.111 20.48 2.19 0.1386 -0.001208 48.7 29.93 24.89 72.6 69.5
S1 0.180 10.79 1.50 0.0962 -0.003423 71.5 9.26 10.39 86.4 86.1
S2 0.221 9.24 1.39 0.0917 -0.003547 72.1 9.89 7.72 88.2 88.0
S3 0.238 12.32 1.62 0.1081 -0.002559 61.0 21.33 11.87 83.3 81.8
S4 0.175 12.03 1.59 0.1020 -0.003104 68.1 12.50 12.19 84.6 83.8
S5 0.194 10.19 1.46 0.0943 -0.003482 71.9 9.32 9.36 87.1 86.9
S6 0.193 10.54 1.48 0.0959 -0.003395 71.0 10.18 9.88 86.6 86.2
Syrup
G1 49.3
G2 48.9
G3 46.5
G4 48.7
G5 47.7
I1 52.8
I2 48.5
I3 50.7
I4 48.0
I5 53.0
S1 45.5
S2 44.4
S3 46.9
S4 46.5
S5 45.0
S6 45.3
Loading required package: chemometrics
Loading required package: rpart
$overall.quality
[1] 0.997
$axis.pred
Na2O MgO Al2O3 SiO2 P2O5 SO3 Cl K2O CaO MnO Fe2O3 BaO PbO
0.990 0.952 0.977 0.999 0.910 0.815 0.963 0.966 0.967 0.876 0.964 0.779 0.611
$sample.pred
1 2 3 4 5 6 7 8 9 10 11 12 13
0.980 0.997 1.041 1.045 0.988 0.897 1.021 0.965 0.983 0.997 0.941 0.928 0.996
14 15 16 17 18 19 20 21 22 23 24 25 26
0.992 0.994 1.008 0.986 0.998 0.937 1.123 0.927 1.074 1.028 0.949 0.996 0.976
27 28 29 30 31 32 33 34 35 36 37 38 39
1.019 1.081 0.939 1.169 1.048 0.979 1.044 1.035 1.106 1.105 1.077 1.053 1.079
40 41 42 43 44 45 46 47 48 49 50 51 52
1.019 1.038 1.025 1.078 1.129 1.133 1.088 1.089 1.097 1.113 1.092 1.073 1.072
53 54 55 56 57 58 59 60 61 62 63 64 65
1.101 1.069 1.119 1.155 0.934 0.983 1.002 1.015 0.955 0.965 0.975 0.961 0.953
66 67 68 69 70 71 72 73 74 75 76 77 78
1.031 0.941 0.993 1.037 1.023 1.027 1.032 0.958 0.904 0.893 0.925 0.989 0.936
79 80 81 82 83 84 85 86 87 88 89 90 91
0.972 0.920 0.984 1.032 1.005 1.098 1.090 1.013 1.002 1.034 1.024 1.014 0.975
92 93 94 95 96 97 98 99 100 101 102 103 104
0.981 1.006 0.996 1.117 1.011 1.000 1.006 1.004 1.039 1.019 1.046 0.992 1.110
105 106 107 108 109 110 111 112 113 114 115 116 117
1.103 1.113 1.059 1.049 0.987 1.094 1.042 1.036 0.986 1.039 1.027 0.930 0.998
118 119 120 121 122 123 124 125 126 127 128 129 130
0.949 0.940 1.037 1.031 1.047 1.134 1.039 0.925 0.932 0.933 0.948 0.954 0.943
131 132 133 134 135 136 137 138 139 140 141 142 143
0.982 0.953 0.937 0.952 0.947 0.925 0.959 0.941 0.930 0.946 0.952 0.965 0.954
144 145 146 147 148 149 150 151 152 153 154 155 156
0.951 0.981 0.980 0.938 0.953 0.992 0.915 0.958 0.958 0.970 0.948 0.957 0.962
157 158 159 160 161 162 163 164 165 166 167 168 169
0.950 0.906 0.976 0.928 0.976 0.952 0.950 0.946 0.969 0.956 0.983 0.983 0.953
170 171 172 173 174 175 176 177 178 179 180
0.927 0.982 0.946 0.943 0.947 0.991 0.978 0.987 0.938 0.980 1.111
$D.hat
Na2O MgO Al2O3 SiO2 P2O5 SO3 Cl K2O CaO MnO Fe2O3
1 15.2461 2.46 1.53 66.8 0.47970 0.1754 0.742 3.39 8.39 0.520 0.387
2 15.0245 2.43 1.53 66.8 0.46760 0.1737 0.730 3.66 8.29 0.514 0.386
3 14.2806 2.86 1.86 64.8 0.86392 0.1709 0.721 2.63 10.98 0.703 0.460
4 15.0947 2.77 1.74 65.4 0.74917 0.1761 0.753 2.35 10.25 0.648 0.437
5 16.5330 2.26 1.31 68.0 0.25174 0.1833 0.788 3.15 6.91 0.410 0.341
6 13.2263 2.68 1.81 65.3 0.76206 0.1624 0.664 4.10 10.19 0.655 0.445
7 13.9738 2.82 1.85 64.9 0.84261 0.1685 0.705 3.02 10.81 0.693 0.457
8 17.0996 2.06 1.15 69.0 0.05991 0.1861 0.802 3.45 5.62 0.319 0.304
9 15.9799 2.34 1.41 67.5 0.34777 0.1799 0.768 3.26 7.53 0.456 0.360
10 15.3215 2.65 1.65 65.9 0.64268 0.1771 0.756 2.60 9.53 0.597 0.416
11 15.2732 2.42 1.51 66.9 0.44967 0.1754 0.741 3.50 8.18 0.505 0.381
12 15.4366 2.40 1.48 67.0 0.42710 0.1764 0.747 3.44 8.04 0.494 0.377
13 16.6835 2.21 1.27 68.2 0.20728 0.1841 0.792 3.20 6.61 0.389 0.332
14 16.1788 2.30 1.37 67.7 0.30594 0.1810 0.775 3.26 7.26 0.436 0.352
15 15.0088 2.66 1.68 65.8 0.66362 0.1749 0.743 2.81 9.65 0.607 0.421
16 17.1172 2.22 1.25 68.3 0.19584 0.1872 0.812 2.83 6.57 0.383 0.329
17 15.5167 2.33 1.43 67.4 0.36360 0.1766 0.747 3.64 7.61 0.464 0.365
18 16.9562 2.23 1.27 68.2 0.20837 0.1861 0.805 2.93 6.64 0.390 0.332
19 8.8772 1.56 1.37 69.0 0.01197 0.1251 0.405 11.61 4.63 0.301 0.324
20 5.0392 1.34 1.49 68.9 0.00651 0.0967 0.220 15.34 4.28 0.301 0.337
21 7.0389 1.58 1.51 68.4 0.11832 0.1123 0.324 12.91 5.22 0.353 0.350
22 6.1053 1.15 1.30 70.0 -0.20098 0.1032 0.257 15.22 2.93 0.202 0.295
23 4.6350 1.10 1.36 69.8 -0.17697 0.0925 0.188 16.54 2.98 0.214 0.305
24 5.5887 1.34 1.46 69.0 -0.01894 0.1006 0.245 14.92 4.15 0.289 0.330
25 9.4101 1.72 1.45 68.4 0.12757 0.1298 0.438 10.58 5.48 0.356 0.343
26 7.6597 1.40 1.36 69.3 -0.06139 0.1156 0.341 13.11 4.02 0.267 0.315
27 8.2520 1.50 1.38 69.1 -0.00953 0.1203 0.373 12.31 4.43 0.292 0.323
28 5.8267 1.34 1.44 69.1 -0.02565 0.1023 0.256 14.72 4.12 0.285 0.328
29 8.9673 1.51 1.34 69.2 -0.02914 0.1255 0.406 11.70 4.35 0.282 0.316
30 3.8673 1.08 1.40 69.7 -0.15853 0.0869 0.153 17.20 3.04 0.224 0.311
31 6.5968 1.32 1.38 69.4 -0.07759 0.1076 0.289 14.20 3.83 0.260 0.316
32 7.5568 1.43 1.38 69.1 -0.03097 0.1151 0.338 13.07 4.23 0.282 0.321
33 6.2745 1.30 1.38 69.4 -0.08615 0.1052 0.273 14.55 3.74 0.256 0.316
34 15.1325 2.38 1.49 67.1 0.41823 0.1741 0.732 3.77 7.95 0.490 0.376
35 15.5584 2.43 1.49 67.0 0.44421 0.1774 0.754 3.25 8.17 0.502 0.380
36 15.5570 2.38 1.46 67.2 0.40351 0.1771 0.752 3.43 7.89 0.483 0.372
37 11.9875 2.30 1.65 66.6 0.50011 0.1515 0.587 6.45 8.27 0.531 0.402
38 14.5109 2.33 1.50 67.1 0.40690 0.1694 0.702 4.42 7.83 0.485 0.376
39 15.7108 2.22 1.35 67.9 0.25864 0.1773 0.749 3.92 6.89 0.414 0.345
40 15.3161 2.47 1.53 66.7 0.48762 0.1759 0.746 3.29 8.45 0.523 0.388
41 13.4570 2.49 1.67 66.2 0.58974 0.1629 0.663 4.64 9.01 0.573 0.413
42 14.7401 2.43 1.55 66.7 0.48397 0.1717 0.718 3.86 8.38 0.522 0.390
43 12.0701 2.38 1.69 66.3 0.55974 0.1525 0.595 6.11 8.69 0.560 0.413
44 12.4136 2.56 1.79 65.5 0.70120 0.1560 0.621 5.15 9.70 0.627 0.437
45 13.1107 2.57 1.75 65.7 0.67716 0.1610 0.653 4.59 9.59 0.615 0.430
46 12.2854 2.37 1.68 66.3 0.54741 0.1540 0.604 5.96 8.62 0.554 0.410
47 11.9775 2.37 1.70 66.3 0.56061 0.1518 0.590 6.19 8.69 0.560 0.413
48 11.4583 2.40 1.75 66.0 0.60365 0.1483 0.568 6.51 8.95 0.581 0.423
49 14.6650 2.37 1.52 67.0 0.43702 0.1708 0.711 4.14 8.05 0.500 0.381
50 12.2582 2.41 1.70 66.2 0.57796 0.1540 0.605 5.85 8.83 0.568 0.415
51 12.2982 2.46 1.73 66.0 0.62019 0.1546 0.610 5.62 9.13 0.588 0.423
52 15.5208 2.26 1.38 67.7 0.30162 0.1762 0.743 3.91 7.18 0.435 0.354
53 12.7099 2.40 1.67 66.3 0.55053 0.1572 0.625 5.53 8.68 0.555 0.409
54 14.0738 2.47 1.62 66.4 0.54690 0.1672 0.690 4.23 8.76 0.552 0.403
55 12.7359 2.61 1.80 65.4 0.72877 0.1586 0.638 4.72 9.92 0.639 0.441
56 14.2918 2.60 1.69 65.9 0.64543 0.1695 0.707 3.58 9.46 0.599 0.421
57 3.3166 4.18 3.46 56.1 2.48711 0.1014 0.305 6.08 21.37 1.481 0.794
58 1.9516 4.61 3.83 53.9 2.91318 0.0943 0.269 5.52 24.22 1.684 0.876
59 -0.0953 4.70 4.02 53.0 3.08031 0.0803 0.182 6.77 25.22 1.765 0.913
60 -0.2021 4.55 3.93 53.6 2.95861 0.0787 0.168 7.41 24.36 1.707 0.892
61 3.7839 3.96 3.28 57.2 2.27402 0.1033 0.313 6.57 19.93 1.379 0.753
62 1.2953 4.48 3.79 54.3 2.82732 0.0888 0.231 6.54 23.57 1.644 0.863
63 1.7317 4.49 3.77 54.4 2.82338 0.0920 0.252 6.13 23.58 1.641 0.860
64 4.8493 3.39 2.84 60.0 1.74400 0.1075 0.328 7.87 16.33 1.127 0.653
65 4.7477 3.39 2.85 59.9 1.75372 0.1068 0.324 7.93 16.39 1.131 0.655
66 5.2080 3.10 2.63 61.3 1.48891 0.1083 0.328 8.65 14.59 1.005 0.606
67 5.9786 3.20 2.64 61.1 1.53851 0.1144 0.369 7.69 15.00 1.028 0.612
68 4.8017 3.13 2.67 61.1 1.52761 0.1056 0.312 8.87 14.83 1.024 0.614
69 3.5255 3.01 2.68 61.3 1.48418 0.0959 0.247 10.30 14.42 1.004 0.611
70 3.6737 3.09 2.72 61.0 1.54430 0.0974 0.259 9.89 14.85 1.033 0.621
71 5.2296 2.98 2.54 61.9 1.37933 0.1077 0.322 9.11 13.83 0.953 0.586
72 3.5704 2.98 2.66 61.4 1.46037 0.0961 0.248 10.36 14.26 0.993 0.606
73 6.3616 2.67 2.27 63.5 1.07195 0.1139 0.356 9.37 11.79 0.807 0.526
74 5.3823 3.69 3.00 58.8 1.97982 0.1131 0.370 6.32 18.01 1.238 0.694
75 5.3007 3.76 3.05 58.5 2.03894 0.1129 0.370 6.14 18.42 1.267 0.705
76 2.7551 4.10 3.44 56.4 2.44241 0.0969 0.275 6.82 21.02 1.460 0.787
77 16.6001 2.25 1.31 68.0 0.24746 0.1837 0.791 3.11 6.89 0.408 0.340
78 15.3013 1.79 1.09 69.7 -0.08484 0.1718 0.706 5.82 4.47 0.251 0.284
79 15.6578 2.03 1.22 68.7 0.10021 0.1758 0.736 4.67 5.79 0.339 0.317
80 14.6793 2.11 1.34 68.1 0.21392 0.1693 0.697 5.11 6.50 0.394 0.341
81 14.2877 2.14 1.39 67.9 0.25454 0.1667 0.681 5.31 6.75 0.413 0.349
82 13.8071 2.53 1.68 66.0 0.61273 0.1657 0.682 4.20 9.20 0.584 0.416
83 18.0890 2.12 1.12 69.0 0.06634 0.1935 0.850 2.47 5.75 0.321 0.302
84 14.8640 2.21 1.40 67.7 0.29115 0.1712 0.711 4.59 7.05 0.430 0.354
85 14.2125 2.28 1.49 67.2 0.37960 0.1670 0.685 4.83 7.61 0.473 0.372
86 15.5773 2.54 1.56 66.5 0.53661 0.1782 0.762 2.82 8.81 0.546 0.396
87 16.1605 2.49 1.49 66.9 0.46296 0.1820 0.785 2.58 8.35 0.511 0.381
88 13.8225 2.49 1.65 66.3 0.57044 0.1655 0.680 4.37 8.91 0.564 0.409
89 13.8712 2.49 1.64 66.3 0.56810 0.1658 0.682 4.33 8.89 0.562 0.408
90 13.5955 2.59 1.73 65.8 0.66514 0.1645 0.675 4.17 9.55 0.609 0.427
91 15.1169 2.03 1.26 68.6 0.12583 0.1719 0.712 5.08 5.92 0.351 0.323
92 14.5248 2.16 1.39 67.8 0.26522 0.1686 0.693 5.03 6.84 0.418 0.351
93 16.0698 2.48 1.49 66.9 0.46342 0.1813 0.780 2.67 8.34 0.511 0.381
94 14.6500 2.38 1.52 66.9 0.44597 0.1707 0.711 4.12 8.11 0.504 0.383
95 13.3903 2.45 1.65 66.3 0.56115 0.1622 0.658 4.83 8.81 0.559 0.408
96 16.1968 2.42 1.44 67.2 0.40756 0.1819 0.783 2.79 7.97 0.485 0.371
97 15.1527 2.52 1.58 66.5 0.53590 0.1751 0.741 3.24 8.77 0.546 0.398
98 15.8068 2.45 1.49 67.0 0.44689 0.1793 0.766 2.99 8.21 0.504 0.379
99 13.6575 2.35 1.57 66.8 0.46112 0.1635 0.664 5.01 8.13 0.512 0.389
100 16.5657 2.43 1.43 67.2 0.39884 0.1846 0.800 2.47 7.93 0.480 0.368
101 16.7013 2.46 1.43 67.2 0.41246 0.1856 0.807 2.28 8.04 0.487 0.370
102 11.7846 2.35 1.70 66.3 0.55069 0.1503 0.581 6.42 8.61 0.555 0.412
103 11.0792 2.51 1.85 65.4 0.71927 0.1463 0.558 6.36 9.72 0.636 0.445
104 15.2850 2.38 1.48 67.1 0.41220 0.1752 0.739 3.65 7.92 0.487 0.375
105 14.8109 2.42 1.54 66.8 0.47351 0.1721 0.720 3.84 8.31 0.517 0.387
106 12.8011 2.44 1.69 66.2 0.57972 0.1580 0.631 5.31 8.89 0.569 0.414
107 14.3111 2.72 1.76 65.4 0.74504 0.1703 0.715 3.13 10.16 0.646 0.439
108 14.6218 2.25 1.44 67.5 0.33098 0.1697 0.702 4.65 7.31 0.449 0.362
109 10.2935 2.02 1.58 67.3 0.33754 0.1378 0.495 8.80 7.01 0.455 0.379
110 15.4377 2.40 1.48 67.1 0.42416 0.1764 0.747 3.45 8.02 0.493 0.376
111 16.8167 2.44 1.41 67.3 0.39307 0.1864 0.811 2.26 7.91 0.477 0.366
112 14.4640 2.37 1.53 66.9 0.44632 0.1694 0.702 4.29 8.10 0.504 0.384
113 14.3388 2.47 1.60 66.5 0.53561 0.1691 0.702 4.02 8.71 0.547 0.400
114 14.1233 2.40 1.57 66.7 0.48030 0.1671 0.688 4.47 8.30 0.521 0.391
115 12.8667 2.54 1.75 65.8 0.66135 0.1591 0.640 4.89 9.46 0.607 0.428
116 17.2416 2.03 1.12 69.1 0.03212 0.1870 0.807 3.43 5.44 0.306 0.299
117 14.1780 2.01 1.31 68.4 0.15228 0.1652 0.668 5.87 6.03 0.365 0.331
118 15.8573 1.96 1.16 69.1 0.03082 0.1767 0.741 4.78 5.32 0.306 0.303
119 14.9191 2.08 1.30 68.3 0.17380 0.1708 0.705 5.06 6.24 0.374 0.333
120 12.9351 2.14 1.48 67.5 0.32026 0.1572 0.620 6.33 7.10 0.445 0.366
121 14.4288 2.30 1.48 67.2 0.38608 0.1687 0.696 4.59 7.67 0.476 0.373
122 16.7117 2.46 1.44 67.1 0.41932 0.1858 0.808 2.24 8.09 0.490 0.371
123 15.2315 2.38 1.48 67.1 0.41686 0.1748 0.737 3.68 7.95 0.490 0.376
124 12.8333 2.43 1.67 66.3 0.56656 0.1582 0.632 5.34 8.80 0.562 0.411
125 11.2231 2.00 1.50 67.7 0.27617 0.1443 0.535 8.18 6.65 0.425 0.364
126 11.4619 1.93 1.44 68.1 0.20600 0.1455 0.542 8.25 6.19 0.392 0.351
127 11.6692 1.92 1.42 68.1 0.19202 0.1470 0.551 8.12 6.11 0.385 0.347
128 16.4439 1.82 1.04 69.8 -0.11018 0.1801 0.759 4.83 4.39 0.239 0.276
129 11.8936 1.98 1.45 67.9 0.23546 0.1489 0.564 7.71 6.42 0.406 0.354
130 15.4439 2.25 1.38 67.7 0.29847 0.1756 0.739 4.00 7.15 0.433 0.353
131 14.0548 2.21 1.45 67.5 0.32607 0.1655 0.674 5.22 7.23 0.447 0.363
132 16.8698 1.86 1.04 69.8 -0.09475 0.1833 0.781 4.35 4.53 0.246 0.277
133 16.4782 1.93 1.11 69.4 -0.01837 0.1810 0.767 4.39 5.03 0.282 0.292
134 16.9206 1.87 1.04 69.7 -0.08935 0.1838 0.784 4.28 4.57 0.248 0.278
135 11.6798 1.99 1.47 67.8 0.25428 0.1475 0.555 7.83 6.54 0.415 0.359
136 13.0841 2.09 1.44 67.8 0.27029 0.1580 0.624 6.40 6.76 0.421 0.357
137 14.7081 2.00 1.27 68.6 0.11928 0.1689 0.692 5.50 5.84 0.349 0.323
138 13.5541 2.11 1.42 67.8 0.26913 0.1614 0.646 5.95 6.79 0.421 0.355
139 11.6604 2.05 1.51 67.6 0.30065 0.1477 0.558 7.65 6.86 0.437 0.367
140 14.6401 2.03 1.29 68.5 0.14508 0.1686 0.690 5.45 6.02 0.361 0.328
141 16.7060 1.87 1.05 69.7 -0.08351 0.1822 0.774 4.46 4.60 0.251 0.280
142 14.6925 2.02 1.29 68.5 0.13890 0.1689 0.692 5.43 5.98 0.358 0.327
143 14.9063 1.97 1.24 68.8 0.08592 0.1701 0.699 5.45 5.63 0.333 0.317
144 14.5160 2.18 1.40 67.8 0.28169 0.1686 0.693 4.97 6.96 0.426 0.354
145 15.5265 1.93 1.17 69.1 0.02260 0.1742 0.724 5.13 5.24 0.302 0.303
146 15.0795 2.10 1.31 68.2 0.19027 0.1721 0.714 4.83 6.37 0.382 0.335
147 14.5641 2.11 1.35 68.1 0.22055 0.1685 0.692 5.19 6.54 0.397 0.342
148 15.7009 2.02 1.22 68.8 0.09146 0.1760 0.737 4.66 5.73 0.335 0.315
149 12.7931 2.05 1.43 67.9 0.24728 0.1556 0.608 6.79 6.58 0.411 0.353
150 13.4615 2.26 1.52 67.1 0.39550 0.1616 0.650 5.49 7.66 0.481 0.378
151 15.1744 2.04 1.27 68.5 0.13409 0.1724 0.715 4.98 5.98 0.355 0.324
152 12.7768 1.85 1.30 68.7 0.08454 0.1544 0.597 7.52 5.45 0.333 0.324
153 14.5702 2.26 1.45 67.4 0.34420 0.1694 0.700 4.64 7.39 0.456 0.365
154 14.2226 2.01 1.31 68.4 0.14638 0.1655 0.670 5.85 5.99 0.362 0.330
155 14.7475 2.24 1.43 67.6 0.32314 0.1706 0.707 4.56 7.26 0.445 0.360
156 14.3881 2.26 1.46 67.4 0.35179 0.1681 0.692 4.78 7.43 0.459 0.367
157 15.8353 1.95 1.16 69.1 0.02538 0.1765 0.739 4.82 5.28 0.303 0.302
158 13.4476 2.25 1.52 67.2 0.38710 0.1615 0.649 5.54 7.60 0.477 0.376
159 15.3706 1.94 1.19 69.0 0.03708 0.1732 0.718 5.22 5.33 0.309 0.306
160 13.8680 2.22 1.47 67.4 0.34527 0.1643 0.667 5.32 7.35 0.457 0.367
161 15.2403 1.91 1.18 69.1 0.02030 0.1721 0.710 5.42 5.20 0.301 0.304
162 14.3338 2.41 1.56 66.7 0.48145 0.1687 0.698 4.27 8.33 0.521 0.391
163 14.6445 2.00 1.27 68.6 0.12313 0.1684 0.689 5.54 5.87 0.350 0.324
164 15.6470 2.03 1.23 68.7 0.10383 0.1757 0.736 4.66 5.81 0.341 0.317
165 12.3658 2.08 1.48 67.6 0.29276 0.1528 0.591 7.00 6.86 0.433 0.363
166 14.2473 2.40 1.56 66.7 0.47871 0.1680 0.694 4.36 8.30 0.520 0.390
167 13.7304 2.10 1.40 67.9 0.25194 0.1626 0.654 5.86 6.69 0.412 0.351
168 11.0684 2.00 1.52 67.6 0.28744 0.1432 0.528 8.28 6.72 0.431 0.367
169 14.5041 2.16 1.39 67.8 0.26433 0.1684 0.692 5.06 6.83 0.418 0.350
170 14.5839 1.98 1.27 68.6 0.11215 0.1679 0.685 5.65 5.78 0.345 0.323
171 15.2480 1.96 1.21 68.9 0.06286 0.1725 0.714 5.23 5.50 0.321 0.311
172 14.5226 2.08 1.33 68.2 0.19403 0.1680 0.688 5.35 6.35 0.384 0.338
173 14.3882 2.14 1.39 67.9 0.25583 0.1675 0.685 5.21 6.77 0.414 0.349
174 14.2834 2.19 1.42 67.7 0.30038 0.1670 0.683 5.11 7.07 0.435 0.358
175 11.8125 2.00 1.47 67.8 0.25504 0.1485 0.562 7.70 6.55 0.415 0.358
176 11.3471 2.10 1.56 67.3 0.35979 0.1458 0.547 7.69 7.24 0.465 0.379
177 11.3595 2.01 1.50 67.7 0.28116 0.1453 0.542 8.02 6.70 0.428 0.365
178 13.9998 2.18 1.43 67.6 0.30405 0.1649 0.670 5.37 7.07 0.437 0.359
179 11.9872 2.08 1.51 67.5 0.31322 0.1502 0.574 7.27 6.97 0.442 0.368
180 11.1865 2.71 1.97 64.6 0.88099 0.1482 0.574 5.55 10.85 0.713 0.474
BaO PbO
1 0.06688 -0.167014
2 0.06648 -0.104482
3 0.10809 -0.424225
4 0.09390 -0.460981
5 0.03987 -0.168628
6 0.10185 -0.073044
7 0.10710 -0.332127
8 0.01899 -0.058493
9 0.05129 -0.165593
10 0.08263 -0.380858
11 0.06383 -0.136471
12 0.06103 -0.144396
13 0.03496 -0.147251
14 0.04647 -0.157828
15 0.08580 -0.338709
16 0.03229 -0.227056
17 0.05450 -0.084732
18 0.03409 -0.207471
19 0.04371 1.775502
20 0.05691 2.611068
21 0.06074 2.043622
22 0.03270 2.632302
23 0.04032 2.920777
24 0.05244 2.523218
25 0.05316 1.520294
26 0.04086 2.127394
27 0.04383 1.936591
28 0.05093 2.479965
29 0.03935 1.805886
30 0.04488 3.064230
31 0.04307 2.376602
32 0.04421 2.112752
33 0.04338 2.456583
34 0.06124 -0.067971
35 0.06227 -0.191452
36 0.05828 -0.141813
37 0.08055 0.512036
38 0.06236 0.080010
39 0.04349 0.000568
40 0.06741 -0.191748
41 0.08409 0.086002
42 0.06911 -0.062921
43 0.08611 0.421916
44 0.09878 0.176243
45 0.09393 0.054820
46 0.08413 0.390347
47 0.08653 0.440853
48 0.09262 0.500821
49 0.06476 0.010215
50 0.08723 0.359204
51 0.09123 0.299362
52 0.04840 -0.010495
53 0.08292 0.294895
54 0.07768 0.004722
55 0.10034 0.073221
56 0.08658 -0.161797
57 0.30684 -0.023788
58 0.35360 -0.245445
59 0.37735 -0.005959
60 0.36577 0.164642
61 0.28423 0.133566
62 0.34751 0.000381
63 0.34556 -0.089097
64 0.22833 0.545945
65 0.22965 0.556098
66 0.20198 0.777696
67 0.20410 0.551119
68 0.20724 0.818530
69 0.20753 1.146810
70 0.21291 1.041920
71 0.19113 0.905843
72 0.20503 1.165960
73 0.15688 1.033954
74 0.24960 0.144974
75 0.25570 0.090946
76 0.30446 0.151664
77 0.03921 -0.177944
78 0.01120 0.505377
79 0.02811 0.204051
80 0.04279 0.277563
81 0.04818 0.312905
82 0.08510 -0.017495
83 0.01608 -0.279972
84 0.04972 0.144061
85 0.06074 0.177556
86 0.07129 -0.307548
87 0.06196 -0.344221
88 0.08089 0.030459
89 0.08049 0.022771
90 0.09101 -0.035315
91 0.03257 0.289830
92 0.04838 0.248743
93 0.06233 -0.325190
94 0.06570 0.002602
95 0.08152 0.135053
96 0.05639 -0.284899
97 0.07274 -0.214975
98 0.06165 -0.248352
99 0.07074 0.198607
100 0.05421 -0.354025
101 0.05506 -0.399817
102 0.08624 0.494547
103 0.10533 0.442551
104 0.06011 -0.093613
105 0.06783 -0.065524
106 0.08546 0.239808
107 0.09630 -0.286719
108 0.05450 0.148095
109 0.07063 1.074965
110 0.06073 -0.141080
111 0.05274 -0.401237
112 0.06640 0.042357
113 0.07562 -0.038831
114 0.07096 0.074763
115 0.09324 0.126693
116 0.01575 -0.055478
117 0.03853 0.460557
118 0.02058 0.245086
119 0.03799 0.274396
120 0.05948 0.525384
121 0.06060 0.122982
122 0.05570 -0.410366
123 0.06076 -0.087695
124 0.08405 0.248815
125 0.06127 0.948579
126 0.05353 0.982053
127 0.05141 0.954227
128 0.00462 0.289296
129 0.05488 0.853110
130 0.04836 0.009936
131 0.05605 0.276488
132 0.00462 0.178630
133 0.01352 0.170607
134 0.00497 0.161087
135 0.05749 0.876484
136 0.05404 0.553765
137 0.03339 0.386064
138 0.05224 0.453659
139 0.06212 0.824459
140 0.03617 0.369481
141 0.00631 0.200360
142 0.03537 0.365644
143 0.02940 0.383686
144 0.05003 0.230702
145 0.02096 0.326502
146 0.03903 0.219790
147 0.04385 0.294405
148 0.02710 0.205354
149 0.05282 0.644511
150 0.06499 0.320479
151 0.03317 0.267401
152 0.03688 0.845299
153 0.05598 0.143217
154 0.03779 0.458081
155 0.05328 0.130441
156 0.05738 0.173330
157 0.02012 0.256426
158 0.06422 0.333670
159 0.02294 0.342622
160 0.05860 0.293582
161 0.02175 0.391100
162 0.07032 0.027909
163 0.03399 0.395127
164 0.02851 0.202019
165 0.05882 0.681679
166 0.07036 0.049895
167 0.04992 0.436432
168 0.06294 0.968329
169 0.04837 0.254304
170 0.03313 0.421520
171 0.02591 0.337858
172 0.04140 0.335520
173 0.04795 0.289644
174 0.05270 0.258271
175 0.05709 0.846900
176 0.06905 0.820430
177 0.06128 0.913078
178 0.05408 0.315086
179 0.06218 0.738627
180 0.12084 0.223349
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