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- みちしげ さかわ
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1 1
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4 λ λ. correlate father mother first second (obs=20) father mother first second father mother first second regress father mother Source SS df MS Number of obs = F( 1, 18) = 0.96 Model Prob > F = Residual R-squared =
5 Adj R-squared = Total Root MSE = father Coef. Std. Err. t P> t [95% Conf. Interval] mother _cons regress father first Source SS df MS Number of obs = F( 1, 18) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = father Coef. Std. Err. t P> t [95% Conf. Interval] first _cons regress father second Source SS df MS Number of obs = F( 1, 18) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = father Coef. Std. Err. t P> t [95% Conf. Interval] second _cons regress mother first Source SS df MS Number of obs = F( 1, 18) = 9.32 Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = mother Coef. Std. Err. t P> t [95% Conf. Interval] first _cons regress mother second Source SS df MS Number of obs = F( 1, 18) = 5.25 Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = mother Coef. Std. Err. t P> t [95% Conf. Interval] second _cons
6 . regress first second Source SS df MS Number of obs = F( 1, 18) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = first Coef. Std. Err. t P> t [95% Conf. Interval] second _cons
7 . sort twin. by twin: sum sbp -> twin= 0 sbp > twin= 1 sbp sort id. by id: sum sbp -> id= 1 7
8 sbp > id= 2 sbp > id= 3 sbp > id= 4 sbp > id= 5 sbp > id= 6 sbp > id= 7 sbp > id= 8 sbp > id= 9 sbp > id= 10 sbp MSAMZ = sum of squares among monozygous twin, MZ/(nMZ-1) = /4 = MSWMZ = sum of squares within monozygous twin, MZ/nMZ = 44/5 = 8.8 MSADZ = sum of squares among dizygous twin, DZ/(nDZ-1) = 1312/4 = MSWDZ = sum of squares within dizygous twin, DZ/nDZ = 522/5 =
9 rmz = (MSAMZ-MSWMZ) / (MSAMZ+MSWMZ)=( ) / ( ) = 0.95 rdz = (MSADZ-MSWDZ) / (MSADZ+MSWDZ)=( ) / ( ) = h2 = w)rmz rdz) = 2 ( ) = χ 9
10 10
11 (sbp) sib pair linkage study Angiotensin I converting enzyme (ACEI) microsatellite marker 4 A1 = 0.20, A2 = 0.25, A3 = 0.10, A4 = 0.05, A5 = 0.27, A6 = ID 12 (sbp) IBD allele Haseman-Elston method 11
12 identical by descent (IBD) AB CD AB AC AC AC AB AC IBD = 2 IBD = 0 2 A B C A C A A IBD 0 identical by state (IBS) 1 IBS IBD=<IBS IBD I II III IV V AA AA AA CC AA AC AA BC AC AC IBD = 2 or 1 or 0 =0 =1 or 0 =0 =2 or 1 or 0 IBS = 2 =0 =1 =0 =2 VI VII AC AB AB CD IBD = 0 or 1 = 0 IBS = 1 =0 IBD 0 IBD 1 IBD 2 I 4 P A 3 P A 2 P A II 2P 2 2 A P C 0 0 III 4P 3 A P C 2P 2 A P C 0 IV 4P 3 A P C P B 0 0 V 4P 2 2 A P C P A P C (P A + P C ) 2P A P C VI 8P 3 A P B P C 2P A P B P C 0 VII P A P B P C P D 0 0 π = [f2*(ibd 2 ) + f1*(ibd 1 /2)] / [f2*(ibd 2 ) + f1*(ibd 1 /2) + f0*(ibd 0 )] fi:i IBD ; f2= 1/4, f1 = 1/2, f0 = 1/4 12
13 ID Y 2 π (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (y 1j y 2j ) 2 = α + βπ H 0 : β=0 versus H A : β,< 0. regress Y X Source SS df MS Number of obs = F( 1, 10) = Model Prob > F = Residual R-squared = Adj R-squared = Total Root MSE = Y Coef. Std. Err. t P> t [95% Conf. Interval] X _cons E(Y) = π, p=
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Y = ax 1 b1 X 2 b2...x k bk e u InY = Ina + b 1 InX 1 + b 2 InX 2 +...+ b k InX k + u X 1 Y b = ab 1 X 1 1 b 1 X 2 2...X bk k e u = b 1 (ax b1 1 X b2 2...X bk k e u ) / X 1 = b 1 Y / X 1 X 1 X 1 q YX1
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