pairs) rather than values themselves. The table below consists of 49 entries, corresponding to all possible pairs of the seven elements. The value 1.000 on the diagonal confirms a correlation of 1.000 for an element with itself. The values in the cells on either side of the diagonal are the same because the correlation between, say, As and Sb is the same as that between Sb and As. For these off-diagonal cells, the first line reflects the conventional Pearson correlation coefficient based on the 1,373-bullet subset from the 1,837-bullet subset (bullets with all seven measured elements or with six measured and one imputed for Cd). The second line is Spearman’s rank correlation coefficient on rank(data), again for

Line 1:

conventional correlations on log(data),

1,373-bullet subset

Line 2:

Spearman correlations on rank(data),

1,373-bullet subset

Line 3:

Spearman correlations on rank(data),

1,837-bullet subset

Line 4:

Number of pairs in Spearman correlation,

1,837-bullet subset

(Note: 1.000 on the diagonal is indicated on line 1 only)

 

As

Sb

Sn

Bi

Cu

Ag

Cd

As

1.000

0.556

0.624

0.148

0.388

0.186

0.242

 

 

0.697

0.666

0.165

0.386

0.211

0.166

 

 

0.678

0.667

0.178

0.392

0.216

0.279

 

 

1750

1,381

1742

1,743

1,750

856

Sb

0.556

1.000

0.455

0.157

0.358

0.180

0.132

 

0.697

 

0.556

0.058

0.241

0.194

0.081

 

0.678

 

0.560

0.054

0.233

0.190

0.173

 

1,750

 

1,387

1829

1,826

1,837

857

Sn

0.624

0.455

1.000

0.176

0.200

0.258

0.178

 

0.666

0.556

 

0.153

0.207

0.168

0.218

 

0.667

0.560

 

0.152

0.208

0.165

0.385

 

1,381

1,387

 

1385

1380

1387

857

Bi

0.148

0.157

0.176

1.000

0.116

0.560

0.030

 

0.165

0.058

0.153

 

0.081

0.499

0.103

 

0.178

0.054

0.152

 

0.099

0.522

0.165

 

1,742

1,829

1,385

 

1,818

1,829

857

Cu

0.388

0.358

0.200

0.116

1.000

0.258

0.111

 

0.386

0.241

0.207

0.081

 

0.206

0.151

 

0.392

0.233

0.208

0.099

 

0.260

0.115

 

1,743

1,826

1,380

1818

 

1826

855

Ag

0.186

0.180

0.258

0.560

0.258

1.000

0.077

 

0.211

0.194

0.168

0.499

0.206

 

0.063

 

0.216

0.190

0.165

0.522

0.260

 

0.115

 

1,750

1,837

1,387

1829

1,826

 

857

Cd

0.242

0.132

0.178

0.030

0.111

0.077

1.000

 

0.166

0.081

0.218

0.103

0.151

0.063

 

 

0.279

0.173

0.385

0.165

0.251

0.115

 

 

857

857

857

857

855

857

 



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