Haseman–Elston regression

In statistical genetics, Haseman–Elston (HE) regression is a form of statistical regression originally proposed for linkage analysis of quantitative traits for sibling pairs. It was first developed by Joseph K. Haseman and Robert C. Elston in 1972.[1] A much earlier source of sib-pair linkage implementation was, in 1935 and 1938,[2][3] proposed by Lionel S. Penrose, who is father of Nobel laureate theoretical physicist Roger Penrose. In 2000, Elston et al. proposed a "revisited", extended form of Haseman–Elston regression.[4] Since then, further extensions to the "revisited" form of HE regression have been proposed.[5][6][7] Although HE regression "...seems a rusty weapon in the genomics analysis armory of the GWAS era. This is because the HE regression relies on relatedness measured on IBD but not identity by state (IBS)...", HE has been adapted for association analysis in unrelated samples, whose relatedness is measured in IBS.[8]

References
  1. Haseman, J. K.; Elston, R. C. (March 1972). "The investigation of linkage between a quantitative trait and a marker locus". Behavior Genetics. 2 (1): 3–19. doi:10.1007/BF01066731. ISSN 0001-8244. PMID 4157472. S2CID 38976975.
  2. Penrose, L.S. (1935). "The detection of autosomal linkage in data which consist of pairs of brothers and sisters of unspecified parentage". Annals of Eugenics. 6 (2): 133-8. doi:10.1111/j.1469-1809.1935.tb02224.x. ISSN 1469-1809.
  3. Penrose, L.S. (1938). "Genetic linkage in graded human characters". Annals of Eugenics. 8 (3): 233-7. doi:10.1111/j.1469-1809.1938.tb02176.x. ISSN 1469-1809.
  4. Elston, Robert C.; Buxbaum, Sarah; Jacobs, Kevin B.; Olson, Jane M. (2000). "Haseman and Elston revisited". Genetic Epidemiology (in French). 19 (1): 1–17. doi:10.1002/1098-2272(200007)19:1<1::AID-GEPI1>3.0.CO;2-E. ISSN 1098-2272. PMID 10861893. S2CID 25757183.
  5. Mirea, Lucia; Bull, Shelley B; Stafford, James (2003). "Comparison of Haseman–Elston regression analyses using single, summary, and longitudinal measures of systolic blood pressure". BMC Genetics. 4 (Suppl 1): S23. doi:10.1186/1471-2156-4-S1-S23. PMC 1866458. PMID 14975091.
  6. Sham, P.C.; Purcell, S. (June 2001). "Equivalence between Haseman–Elston and Variance-Components Linkage Analyses for Sib Pairs". The American Journal of Human Genetics. 68 (6): 1527–1532. doi:10.1086/320593. PMC 1226141. PMID 11353401.
  7. Wang, Tao; Elston, Robert C. (July 2005). "Two-level Haseman–Elston regression for general pedigree data analysis". Genetic Epidemiology. 29 (1): 12–22. doi:10.1002/gepi.20075. ISSN 0741-0395. PMID 15838848. S2CID 5815750.
  8. Chen, Guo-Bo (2014-04-30). "Estimating heritability of complex traits from genome-wide association studies using IBS-based Haseman–Elston regression". Frontiers in Genetics. 5: 107. doi:10.3389/fgene.2014.00107. ISSN 1664-8021. PMC 4012219. PMID 24817879.
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