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Table 1 Joint genotype probability for a sib pair (genotypes are unordered)

From: Genome-wide linkage and association analysis of rheumatoid arthritis in a Canadian population

  Pr(g1, g2)
(g1, g2) Assume HWE Allow departure from HWE
(0, 0) q 4 + p q 3 + 1 4 p 2 q 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGXbqCdaahaaWcbeqaaiabisda0aaakiabgUcaRiabdchaWjabdghaXnaaCaaaleqabaGaeG4mamdaaOGaey4kaSYaaSaaaeaacqaIXaqmaeaacqaI0aanaaGaemiCaa3aaWbaaSqabeaacqaIYaGmaaGccqWGXbqCdaahaaWcbeqaaiabikdaYaaaaaa@3C19@ P 0 2 + 1 2 P 0 P 1 + 1 16 P 1 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGqbaudaqhaaWcbaGaeGimaadabaGaeGOmaidaaOGaey4kaSYaaSaaaeaacqaIXaqmaeaacqaIYaGmaaGaemiuaa1aaSbaaSqaaiabicdaWaqabaGccqWGqbaudaWgaaWcbaGaeGymaedabeaakiabgUcaRmaalaaabaGaeGymaedabaGaeGymaeJaeGOnaydaaiabdcfaqnaaDaaaleaacqaIXaqmaeaacqaIYaGmaaaaaa@3E60@
(0, 1) pq2(1 + q) P 0 P 1 + 1 4 P 1 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGqbaudaWgaaWcbaGaeGimaadabeaakiabdcfaqnaaBaaaleaacqaIXaqmaeqaaOGaey4kaSYaaSaaaeaacqaIXaqmaeaacqaI0aanaaGaemiuaa1aa0baaSqaaiabigdaXaqaaiabikdaYaaaaaa@3758@
(0, 2) 1 2 p 2 q 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaiabigdaXaqaaiabikdaYaaacqWGWbaCdaahaaWcbeqaaiabikdaYaaakiabdghaXnaaCaaaleqabaGaeGOmaidaaaaa@33BA@ 1 8 P 1 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaiabigdaXaqaaiabiIda4aaacqWGqbaudaqhaaWcbaGaeGymaedabaGaeGOmaidaaaaa@31E2@
(1, 1) pq(1 + pq) 1 2 P 0 P 1 + 1 4 P 1 2 + 1 2 P 1 P 2 + 2 P 0 P 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaiabigdaXaqaaiabikdaYaaacqWGqbaudaWgaaWcbaGaeGimaadabeaakiabdcfaqnaaBaaaleaacqaIXaqmaeqaaOGaey4kaSYaaSaaaeaacqaIXaqmaeaacqaI0aanaaGaemiuaa1aa0baaSqaaiabigdaXaqaaiabikdaYaaakiabgUcaRmaalaaabaGaeGymaedabaGaeGOmaidaaiabdcfaqnaaBaaaleaacqaIXaqmaeqaaOGaemiuaa1aaSbaaSqaaiabikdaYaqabaGccqGHRaWkcqaIYaGmcqWGqbaudaWgaaWcbaGaeGimaadabeaakiabdcfaqnaaBaaaleaacqaIYaGmaeqaaaaa@4730@
(1, 2) p2q(1 + p) 1 4 P 1 2 + P 1 P 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaiabigdaXaqaaiabisda0aaacqWGqbaudaqhaaWcbaGaeGymaedabaGaeGOmaidaaOGaey4kaSIaemiuaa1aaSbaaSqaaiabigdaXaqabaGccqWGqbaudaWgaaWcbaGaeGOmaidabeaaaaa@375C@
(2, 2) 1 4 p 2 q 2 + p 3 q + p 4 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaiabigdaXaqaaiabisda0aaacqWGWbaCdaahaaWcbeqaaiabikdaYaaakiabdghaXnaaCaaaleqabaGaeGOmaidaaOGaey4kaSIaemiCaa3aaWbaaSqabeaacqaIZaWmaaGccqWGXbqCcqGHRaWkcqWGWbaCdaahaaWcbeqaaiabisda0aaaaaa@3C17@ 1 16 P 1 2 + 1 2 P 1 P 2 + P 2 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaiabigdaXaqaaiabigdaXiabiAda2aaacqWGqbaudaqhaaWcbaGaeGymaedabaGaeGOmaidaaOGaey4kaSYaaSaaaeaacqaIXaqmaeaacqaIYaGmaaGaemiuaa1aaSbaaSqaaiabigdaXaqabaGccqWGqbaudaWgaaWcbaGaeGOmaidabeaakiabgUcaRiabdcfaqnaaDaaaleaacqaIYaGmaeaacqaIYaGmaaaaaa@3E68@