A New Approach for Provenance Studies of Archaeological Finds: Inferences from Trace Elements in Carbonate Minerals of Alpine White Marbles by a Bench-to-Top μ-XRF Spectrometer
Table 6
Final cluster centers after HCA analysis using four (A) and five (B) variables: proper grouping observations are obtained for 10 and 11 clusters (CL), respectively (Figures 4 and 5).
Final Cluster Centers
A
B
4 variables
5 variables
CL
Marble
#
Ca
Fe
Sr
Mn
CL
Marble
#
Ca
Fe
Sr
Mn
O
1
PONT-D
19
0.039
0.000
1.000
0.030
1
PONT-D
19
0.039
0.006
1.000
0.030
0.463
2
CRE-D1
25
0.043
0.274
0.000
0.243
2
CRE-D1
25
0.043
0.279
0.000
0.243
0.648
3
FOR-D
25
0.000
0.364
0.054
0.031
3
FOR-D
25
0.000
0.368
0.054
0.031
0.741
4
PRA-D/CHI-D
25
0.028
0.027
0.054
0.061
4
PRA-D
10
0.044
0.082
0.043
0.019
0.481
5
CHI-D
15
0.017
0.000
0.061
0.089
0.704
5
CRE-D2
11
0.016
0.685
0.007
0.250
6
CRE-D2
11
0.016
0.687
0.007
0.250
0.861
6
PRA-C
15
0.934
0.271
0.444
0.000
7
PRA-C
15
0.934
0.276
0.444
0.000
0.454
7
GAR-C
23
1.000
0.203
0.060
0.111
8
GAR-C
23
1.000
0.208
0.060
0.111
1.000
8
BRO-C
11
0.961
1.000
0.021
0.078
9
BRO-C
11
0.961
1.000
0.021
0.078
0.463
9
CAN-C
12
0.999
0.461
0.113
0.709
10
CAN-C
12
0.999
0.465
0.113
0.709
0.009
10
ORN-C
12
0.955
0.363
0.089
1.000
11
ORN-C
12
0.955
0.367
0.089
1.000
0.000
All variable columns are normalized in the range 0-1. # = number of investigated carbonate grains.