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. Author manuscript; available in PMC: 2009 Nov 26.
Published in final edited form as: J Off Stat. 2008 Dec 1;24(4):517–540.

Table 2.

The set of {Dhl} when 4 weight strata are present: all patterns of pooling coterminous strata.

Pooling pattern index Dummy variable pattern Number of pooled strata

L = 1 (complete pooling) Dhl= (1) for all h H* = 1

L = 2 (pool highest three weight strata) Dhl=(1 0) for h = 1
Dhl=(0 1) for h ≥ 2
H* = 2

L = 3 (pool highest two weight strata) Dhl=(1 0 0) for h = 1
Dhl=(0 1 0) for h = 2
Dhl=(0 0 1) for h ≥ 3
H* = 3

L = 4 (no pooling) Dhl=(1 0 0 0) for h = 1
Dhl=(0 1 0 0) for h = 2
Dhl=(0 0 1 0) for h = 3
Dhl=(0 0 0 1) for h = 4
H* = 4

L = 5 (pool all but highest weight stratum) Dhl=(1 0) for h ≤ 3
Dhl=(0 1) for h = 4
H* = 2

L = 6 (pool first and last two weight strata) Dhl=(1 0) for h ≤ 2
Dhl=(0 1) for h ≥ 3
H* = 2

L = 7 (pool middle two strata) Dhl=(1 0 0) for h = 1
Dhl=(0 1 0) for h = 2, 3
Dhl=(0 0 1) for h = 4
H* = 3

L = 8 (pool lowest two weight strata) Dhl=(1 0 0) for h ≤ 2
Dhl=(0 1 0) for h = 3
Dhl=(0 0 1) for h = 4
H* = 3