. Author manuscript; available in PMC: 2010 Apr 19.

Published in final edited form as: J Stat Theory Pract. 2009 Jun 1;3(2):407–418. doi: 10.1080/15598608.2009.10411933

Table 1.

Summary of the posterior distributions for the T matrix in California in 2004: The labelling is 1, sulfate, 2, nitrate, 3, ammonium, 4, total carbonaceous mass, 5, crustal material.

Parameters

Mean

2.5%

Median

97.5%

T_{12} / \sqrt{T_{11} T_{22}}

0.757

0.031

0.718

0.776

0.800

T_{12} / \sqrt{T_{11} T_{22}}

0.438

0.167

0.262

0.601

0.609

T_{14} / \sqrt{T_{11} T_{44}}

−0.085

0.056

−0.217

−0.055

−0.014

T_{15} / \sqrt{T_{11} T_{55}}

0.292

0.250

0.036

0.481

0.585

T_{23} / \sqrt{T_{22} T_{33}}

−0.288

0.075

−0.381

−0.230

−0.198

T_{24} / \sqrt{T_{22} T_{44}}

0.234

0.336

−0.189

0.550

0.581

T_{25} / \sqrt{T_{22} T_{55}}

−0.440

0.049

−0.501

−0.456

−0.345

T_{34} / \sqrt{T_{33} T_{44}}

−0.875

0.039

−0.932

−0.880

−0.790

T_{35} / \sqrt{T_{33} T_{55}}

0.786

0.115

0.640

0.891

0.905

T_{45} / \sqrt{T_{44} T_{55}}

−0.857

0.046

−0.921

−0.845

−0.791