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# course_05 - When I walk into the forest, I have the feeling...

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When I walk into the forest, I have the feeling that, although it's very complex, there are simple rules underlying that complexity ," say Brian Enquist, an ecologist. Photo by Whitfield J All creatures great and small NATURE 413 (6854): 342-344 SEP 27 2001

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When I am amazed by an incredible diversity of biological size and shape, I surprisingly find I can use a simple QTL model to explain it. Mixture model-based likelihood function (my most favorite statistics) L( π , μ , σ 2 |y,M) = [ ] = + + n i J i J i y f y f 1 2 2 1 1 ) , ; ( ... ) , ; ( σ μ π π = the relative proportions of J components f(.) = a normal probability distribution function μ j = the expected means σ 2 = the variance The Lander-Botstein model – estimate μ The linkage disequilibrium model – estimate π The Wu-Ma model – estimate biology!
Mixture model-based likelihood function L( π , μ , σ 2 ) = [ ] = κ κ σ μ π + + σ μ π n 1 i 2 i 2 1 i 1 ) , ; y ( f ... ) , ; y ( f π = the proportions of k components f(.) = a normal distribution μ = the expected means σ 2 = the variance n = sample size Data structure (F2) Phenotype Marker __________________ ___________________________ Sample y(1) y(2) … y(k) 1 2 m __________________________________________________________ 1 y 11 y 21 y k1 2 2 2 y 12 y 22 y k2 2 1 3

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## This note was uploaded on 12/01/2011 for the course STA 6178 taught by Professor Staff during the Fall '11 term at University of Florida.

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course_05 - When I walk into the forest, I have the feeling...

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