Statistical Analysis: Hypothesis Testing and Regression Analysis - Prof. A. D. Stewart, Study notes of Human Genetics

Download Statistical Analysis: Hypothesis Testing and Regression Analysis - Prof. A. D. Stewart and more Study notes Human Genetics in PDF only on Docsity! ! p 2 + 2pq + q 2 =1 ! p = AA + Aa 2 & q = aa + Aa 2 ! " 2 = (observed # expected)2 expected $ ! " 2 = (observed # expected # 0.5)2 expected $ ! " 2Crit = 3.841 ! D n = (1" r) n D 0 ! PAB = pA pB + D; PAb = pA pb "D; PaB = pa pB "D; Pab = pa pb + D ! D = P AB P ab " P Ab P aB If D is positive, Dmax= smaller of pApb and papB ; If D is negative, Dmax= larger of -pApB and -papb (i.e. whichever of the two numbers is closer to zero) ! r 2 = D 2 pA pa pB pb ! " 2 = r2N ! " D = D /D max ! Prob.= j 2N" # $ % & ' p j q 2N( j = (2N)! j!(2N ( j)! p j q 2N( j ! Tij = j 2N" # $ % & ' i 2N " # $ % & ' j 2N ( i 2N " # $ % & ' 2N( j = (2N)! j!(2N ( j)! p j q 2N( j ! t 1(p) = "4N 1" p p # $ % & ' ( ln(1" p) ! t 0(p) = "4N p 1" p # $ % & ' ( ln(p) ! t (p) = "4N[(1" p)ln(1" p) + pln(p)] ! 1 N e = 1 t 1 N 0 + 1 N 1 + 1 N 2 +L+ 1 N t"1 # $ % & ' ( ! Ne = 4NmN f Nm + N f ! Ne = 9NmN f 4Nm + 2N f ! t = 4N [k(1" k)] ! " p = p(1#µ) ! pt = p0(1"µ) t ! " p = p(1#µ)+ (1# p)$ ! ˆ p = " µ + " ! 1 2N " 1 + 1# 1 2N $ % & ' ( ) " * + , - . / 2N ! F " = 1 1+ 4Nµ ! F t = 1 2N " # $ % & ' (1(µ) 2 + 1( 1 2N " # $ % & ' (1(µ) 2 F t(1 ! 1" ˆ F = # 1+ # ! " = 4N e µ ! " p = pw 1 pw 1 + qw 2 ! pt qt = w t p0 q 0 ! ln pt qt " # $ % & ' = ln p0 q0 " # $ % & ' + t ln(w) ! A t B t = A 0 B 0 e mt ! 1= p 2 + 2pq + q 2 ! " p = p 2 w 11 + pqw 12 w ! w = p 2 w 11 + 2pqw 12 + q 2 w 22 ! "p = pq[p(w 11 # w 12 ) + q(w 12 # w 22 )] w ! ˆ p = w 12 " w 22 2w 12 " w 11 " w 22 = t s + t ! ˆ q = µ s ! ˆ q " µ hs ! dA t dt = r 1 A t K 1 " [A t + B t ] K 1 # $ % & ' (