Principal coordinates analysis The method was first described in: Gower, J. C. (1966) Some distance properties of latent root and vector methods used in multivariate analysis. Biometrika, volume 53, pages 325-328. This software was described in: Higgins, D. G. (1992) Sequence ordinations: a multivariate analysis approach to analysing large sequence data sets. CABIOS, volume 8, pages 15-22. DIAGONAL ELEMENTS OF TRANSFORMED MATRIX Squared distance of each point from centroid: 39019.230469 75584.562500 41617.394531 63090.230469 35193.644531 143214.312500 2417.894531 41490.730469 15646.644531 13233.394531 30763.558594 56321.644531 TRACE (total variation ) = 557593.250000 EIGENVALUES OF TRANSFORMED DISTANCE MATRIX 447527.500000 55287.625000 31712.728516 21189.576172 11066.147461 3378.071533 2562.126221 1235.816040 -0.001116 -702.171753 -6080.505859 -9583.564453 Eigenvalue sums: Positive = 573959.563 Negative = -16366.2432 All = 557593.375 SPECIMEN COORDINATES 1 -102.93290-145.40413 -12.03556 86.86703 9.70954 -6.08679 5.31860 0.64074 2 -254.59944 95.59425 -5.50878 2.19245 47.33118 -11.14114 -13.65133 -14.05854 3 202.97189 5.23583 14.89701 -1.30185 -2.76430 -35.98052 -19.70519 5.85367 4 -207.56856 -99.69841 43.70261 -85.30479 -35.51120 -6.42241 -8.50793 -1.08291 5 189.07913 -9.07419 -5.33650 -28.84831 25.83708 5.10973 8.87631 -13.76203 6 366.98404 11.62913 99.96938 0.73212 9.43087 13.09452 6.74826 0.13841 7 -15.31322 -46.75180 -5.16853 17.78058 33.03778 22.53621 -16.65878 3.74864 8 -190.11935 64.50235 13.79157 -14.03273 13.81980 14.59589 1.60666 24.75176 9 82.84496 79.51708 -18.27206 50.44969 -46.56634 -11.24280 0.13608 3.95687 10 -92.27913 38.69126 -5.05430 22.09920 -57.00402 25.15167 -6.77252 -12.48839 11 -170.39742 20.75955 15.29764 -6.62157 2.45513 -13.67646 37.56364 -1.29237 12 191.32996 -15.00113-136.28288 -44.01225 0.22442 4.06247 5.04621 3.59493 PLOT OF FIRST (horizontal) AND SECOND (vertical) AXES |B------------------------------|-----------------------------------------------| | | | | | | | | | | | N | | | | | | | | L | | | | | | | | | | | | | | | n | | | | | | | | | | | | O | | | | | | | I | | E | | | | |-------------------------------|-----------------------------------------------| | | G | | | S | | | | | | | | | | | | | | | | | l| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e | | | | | | | | | | | | | | | | | | | | | | | | | | | A | | |-------------------------------|-----------------------------------------------| PLOT OF FIRST (horizontal) AND THIRD (vertical) AXES |-------------------------------|-----------------------------------------------I | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e | | | | | | | | | | | | | | | | | | L O | E | | | | | | | | | | |B-------------------n---------l|------------------------G----------------------| | | | | A | | | | N | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | S | |-------------------------------|-----------------------------------------------| 1 AXIS PERCENTAGE VARIATION CUMULATIVE 1 80.26 80.26 2 9.92 90.18 3 5.69 95.86 4 3.80 99.66 5 1.98 101.65 6 0.61 102.25 7 0.46 102.71 8 0.22 102.94