Type of Study.pptVIP

Composite model for interval mapping and regression analysis yi = ? + a* zi + ?km-2bkxik + ei Expected means: Qq: ? + a* + ?kbkxik = a* + XiB qq: ? + ?kbkxik = XiB Xi = (1, xi1, xi2, …, xi(m-2))1x(m-1) B = (?, b1, b2, …, bm-2)T Likelihood based CIM L(y,M|?) = ?i=1n[?1|if1(yi) + ?0|if0(yi)] log L(y,M|?) = ?i=1n log[?1|if1(yi) + ?0|if0(yi)] f1(yi) = 1/[(2?)??]exp[-?(y-?1)2], ?1= a*+XiB f0(yi) = 1/[(2?)??]exp[-?(y-?0)2], ?0= XiB Define ?1|i = ?1|if1(yi)/[?1|if1(yi) + ?0|if0(yi)] (1) ?0|i = ?0|if1(yi)/[?1|if1(yi) + ?0|if0(yi)] (2) a* = ?i=1n?1|i(yi-a*-XiB)/ ?i=1n?1|i (3) = ?1 (Y-XB)′/c B = (X′X)-1X′(Y-?1a*) (4) ?2 = 1/n (Y-XB)′(Y-XB) – a*2 c (5) = (?i=1n2?1|i +?i=1n3?0|i)/(n2+n3) (6) Y = {yi}nx1, ? = {?1|i}nx1, c = ?i=1n?1|i Hypothesis test H0: a*=0 vs H1: a*?0 L0 = ?i=1nf(yi) ? B = (X′X)-1X′Y, ?2=1/n(Y-XB)′(Y-XB) L1= ?i=1n[?1|if1(yi) + ?0|if0(yi)] LR = -2(lnL0 – lnL1) LOD = -(logL0 – logL1) Likelihood based CIM for BC and F2 L(y,M|?) = ?i=1n ?k=1g [?k|ifk(yi)] log L(y,M|?) = ?i=1n log[?k=1g ?k|ifk(yi)] g=2 for BC, 3 for F2 fk(yi) = 1/[(2?)??]exp[-?(y-?k)2], ?k= ?gk +XiB k=1,…,g Define ?k|i = ?k|if1(yi)/[?k=1g ?k|if1(yi)] (1) B = ?k=1g ?k(X′X)-1X′(Y- ?gk ) (2) ?gk = ?i=1n?k|i(yi-XiB)/ ?i=1n?k|i (3) ?2 = 1/n ?i=1n ?k=1g ?k|i(yi-XiB - ?gk )2 (4) Y = {yi}nx1, ? k = {?k|i}nx1 * - Type of Study Composite Interval Mapping Program - Genetic Design - Data and Options Map Function Parameters Here for Simulation Study Only QTL Searching Step cM Cumulative Marker Distance (cM) Composite Interval Mapping Program - Data Put Markers and Trait Data into box below OR Composite Interval Mapping Program - Analyze Data Composite Interval Mapping Program For CIM, Controlled Background Markers by Within cM Or Markers - Profile Composite Interval Mapping Program - Permutation Test #Tests Cut Off Point at Level Is