Table 5

Coefficients for Discriminant Functions

Variables1Mg (wt %)V (ppm)Mn (ppm)Sr (ppm)Y (ppm)La (ppm)Ce (ppm)Eu (ppm)Dy (ppm)Yb (ppm)Pb (ppm)Th (ppm)U (ppm)Constant
Step I
Fig. 7aDP1-1−0.06461−1.559712.608940.36314−1.766170.62425−3.641510.70865−1.178350.416130.962966.58860
DP1-20.20726−1.0347815.103774.99528−5.803670.17409−8.77133−4.326342.02248−0.671910.02096−10.44899
Step II
 Set 1Fig. 8aDP2-1-1−2.27538−1.429331.503983.24668−1.087660.192480.76360−0.05301−1.53807−3.65487
DP2-1-21.320921.5758414.62587−0.005801.60487−16.530323.25087−0.24263−1.15541−20.29884
DP2-1-30.009171.040571.641661.176650.117994.35154−3.32084−1.50025−0.08525−12.21761
 Set 2Fig. 8bDP2-2-21.88217−1.87169−0.80388−12.21323−0.69115−2.0140914.83653−3.94614−0.733982.5128724.19744
DP2-2-3−0.30087−0.07800−1.59126−6.69653−0.61249−0.291190.722002.686351.465960.4238716.26120
 Set 3Fig. 8cDP2-3-11.03404−3.068544.044503.36803−3.12735−0.23219−0.77320−0.10354−1.22843−0.22308−4.26271
DP2-3-21.88819−1.83860−4.81274−0.32180−3.4212310.66976−5.662231.70554−1.043241.8030414.23581
Step IIIa
Fig. 10DP3-10.87183−4.15589−3.064686.34102−1.70445−1.80565−7.31985−0.280210.694791.6983421.06949
DP3-2−1.472572.55043−2.98112−5.398470.55999−2.898363.780472.10840−0.41084−0.137498.53422
DP3-30.16171−1.17287−4.364452.634130.845173.37770−3.184411.619311.95632−0.621254.47140
Step IIIb
Fig. 12aDP4-1−5.378691.028481.00036−0.044673.16929−5.41210−0.330220.108035.38472
  • Note that projection scores (i.e., plotting values) for each discriminant function are calculated as a sum of the coefficients multiplied by Log10-equivalents of the corresponding element concentrations and constant (e.g., eq. 9). Appendix Table 5 lists all discriminant-function equations and structure coefficients indicating contributions of each element in separating between the groups

  • 1 Original concentration values transformed to log base 10 equivalents