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. Author manuscript; available in PMC: 2015 Dec 8.
Published in final edited form as: J Am Stat Assoc. 2012;107(499):901–915. doi: 10.1080/01621459.2012.682533

Table 5.

The distance matrix Δ, augmented first to Λ, then to Υ. Here, Δ is the first five rows and five columns Λ, is the first six rows and six columns, and Υ is the full eight rows and eight columns.

γ11 γ12 γ21 γ31 γ32 21 κ31 κ32
τ11 δτ11,γ11 δτ11,γ12 δτ11,γ21 δτ11,γ31 δτ11,γ32
τ21 δτ21,γ11 δτ21,γ12 δτ21,γ21 δτ21,γ31 δτ21,γ32 0
τ22 δτ22,γ11 δτ22,γ12 δτ22,γ21 δτ22,γ31 δτ22,γ32 0
τ31 δτ31,γ11 δτ31,γ12 δτ31,γ21 δτ31,γ31 δτ31,γ32 δ̃/2 δ̃/2
τ32 δτ32,γ11 δτ32,γ12 δτ32,γ21 δτ32,γ31 δτ32,γ31 δ̃/2 δ̃/2

ε11 0 0

ϰ31 δ̃/2 δ̃/2 0
ϰ32 δ̃/2 δ̃/2 0