Table 1 

Glossary of parameters  
Notations  Meaning 
subscript  Individuals 
i, j = 1,…,n  
subscript k = 1,…,m  variant/marker 
s  Iteration 
p_{k}  frequency of the reference allele of the kth variant 
x_{ik} = 0,1,2  indicator variable of genotype for the kth variant of the ith individual 
Φ  kinship matrix 
superscript T  matrix transpose 
z_{i}  indicator variable of presence of rare variants in the region for the ith individual 
h_{i}  inbreeding coefficient of individual i 
γ_{2k}, γ_{1k}  relative risks 
P_{corr}  correction factor in the test statistics accounting for the relatedness 
n_{G}  number of controls 
n_{c}  number of cases 
p  Pr(presence of rare variants in the genomic region) 
T_{C}  populationbased collapsing test statistic 
T_{CF}  familybased collapsing test statistic 
T_{WSS}  populationbased weighted sum statistic 
T_{WSSF}  familybased weighted sum statistic 
T_{VT}  populationbased variant threshold statistic 
T_{VTF}  familybased variant threshold statistic 
Shugart et al.
Shugart et al. BMC Genomics 2012 13:667 doi:10.1186/1471216413667