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, 14:13, 11 April 2013
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| + | === Formulation === |
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| The inbreeding coefficient <math>F_{IC}</math> is a measure of deviation from the Hardy Weinberg Equilibrium in terms of the excess of heterozygotes observed. | | The inbreeding coefficient <math>F_{IC}</math> is a measure of deviation from the Hardy Weinberg Equilibrium in terms of the excess of heterozygotes observed. |
| A value of 0 implies no deviation, a negative value implies an excess of heterozygotes and a positive value implies an excess of homozygotes. <math>F_{IC}</math> ranges from -1 to 1. | | A value of 0 implies no deviation, a negative value implies an excess of heterozygotes and a positive value implies an excess of homozygotes. <math>F_{IC}</math> ranges from -1 to 1. |
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− | The following equation gives the estimate of F where the observed genotypes are available. <math>g_{i,j,k}</math> is the genotype composed of alleles <math>i</math> and <math>j</math> for the <math>k</math>th individual.[[ AF|<math>P(G_{i,j}|\textbf{p})</math>]] is the [[AF|estimated genotype allele frequency]] for genotype <math>G_{i,j}</math> under HWE assumption. <math>I[i \ne j]</math> is an identity function for heterozygote genotypes. | + | The following equation gives the estimate of F where the observed genotypes are available. <math>g_{i,j,k}</math> is the genotype composed of alleles <math>i</math> and <math>j</math> for the <math>k</math>th individual.[[ AF|<math>P(G_{i,j}|\textbf{p})</math>]] is the [[AF|estimated genotype allele frequency]] for genotype <math>G_{i,j}</math> under HWE assumption. <math>I[i \ne j]</math> is an indicator function for heterozygote genotypes. |
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| <math> | | <math> |