. Author manuscript; available in PMC: 2017 Sep 1.

Published in final edited form as: Genet Epidemiol. 2016 Jun 3;40(6):446–460. doi: 10.1002/gepi.21982

Table 1.

Main Notation

D	Set of sampled individuals
P	Phenotyped set
N₀	Initially genotyped set
n₀	Number of individuals in the set N₀
S	Subset of individuals in D who are available to be selected for genotyping
N_a	Set of additional individuals selected for genotyping (subset of S)
n_a	Number of individuals in the set N_a
N = N₀ ∪ N_a	Extended genotyped set
G = (G₁, G₂, …, G_n)^T	Genotype vector, where n = \|N\| = n₀ + n_a
Y = (Y₁, Y₂, …, Y_p)^T	Phenotype vector, where p = \|P\|
w ≥ 0	Number of covariates included in the analysis, in addition to the intercept
W	[p × (w + 1)] matrix of covariates for the individuals in P
Φ	[d × d] kinship matrix for the individuals in D, where d = \|D\|
Φ_N	[n × n] kinship matrix for the individuals in N
Φ_{N P}	[n × p] cross-kinship matrix between the individuals in N and P