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Variance Standard Deviation Covariance Correlation coefficient Regression line y = a + bx Phenotypic variance VP =VG +VE +VGE, but VG =VA +VD +VI, so VP =VA +VD +VI +VE +VGE

Quantitative Formulae (2011) - Fullerton Collegestaff Formulas.pdf · Note: For X-Iinked female genotypes, the frequencies are the proportions among all females; for X-Iinked male

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Page 1: Quantitative Formulae (2011) - Fullerton Collegestaff Formulas.pdf · Note: For X-Iinked female genotypes, the frequencies are the proportions among all females; for X-Iinked male

 

Variance   Standard  Deviation  

   

Covariance   Correlation  coefficient  

   

Regression  line  y  =  a  +  bx  

   Phenotypic  variance  

VP  =  VG  +  VE  +  VGE,  but  VG  =  VA  +  VD  +  VI,  so  VP  =  VA  +  VD  +  VI  +  VE  +  VGE  

Page 2: Quantitative Formulae (2011) - Fullerton Collegestaff Formulas.pdf · Note: For X-Iinked female genotypes, the frequencies are the proportions among all females; for X-Iinked male

Broad-­‐sense  heritability   Narrow-­‐sense  heritability  

   

Response  to  selection  R  =  h2  x  S  where  S  is  the  selection  differential  

 Allelic  frequencies  p  +  q  =  1  

   

   

Hardy-­‐Weinberg  p2  +  2pq  +  q2  =  1  

 

Page 3: Quantitative Formulae (2011) - Fullerton Collegestaff Formulas.pdf · Note: For X-Iinked female genotypes, the frequencies are the proportions among all females; for X-Iinked male

Inbreeding  

F(AA)  =  p2  +  Fpq   f(Aa)  =  2pq  –  2Fpq   f(aa)  =  q2  +  Fpq  

Mutation  

   

Variance  in  allelic  frequency  due  to  genetic  drift