Hardy-Weinberg equilibrium testing and estimating of allele frequency

GUAN Yu; ZHANG Xiang-yun; XU Qun-fang; WU Zhi-song; GU Guang-tong; NIE Wen

Volume 26 Issue 1

Feb. 2009

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Article Navigation > Journal of Zhejiang A&F University > 2009 > 26(1): 122-126

GUAN Yu, ZHANG Xiang-yun, XU Qun-fang, WU Zhi-song, GU Guang-tong, NIE Wen. Hardy-Weinberg equilibrium testing and estimating of allele frequency[J]. Journal of Zhejiang A&F University, 2009, 26(1): 122-126.

Citation:

GUAN Yu, ZHANG Xiang-yun, XU Qun-fang, WU Zhi-song, GU Guang-tong, NIE Wen. Hardy-Weinberg equilibrium testing and estimating of allele frequency[J]. Journal of Zhejiang A&F University, 2009, 26(1): 122-126.

Hardy-Weinberg equilibrium testing and estimating of allele frequency

1.
School of Sciences，Zhejiang Forestry College，Lin’an 311300，Zhejiang,China

More Information

Corresponding author: GUAN Yu
Received Date: 2008-06-23
Rev Recd Date: 2008-09-26
Publish Date: 2009-02-20

Abstract

As the most important principle in population genetics，Hardy-Weinberg equilibrium （HWE） is a rule to check whether observed genotypic frequencies and allele frequencies between parents and their offspring are in equilibrium in a population. During HWE testing，frequencies of those alleles must be estimated. When there were dominant and recessive genotypes，we used Newton alternate algorithm to get maximum likelihood estimate（MLE） of allele frequencies. The research findings indicated that Newton alternate algorithm had a faster convergence than method of maximum likelihood. An approximate formula about the least Pearson χ2 statistic estimate and MLE was discussed. Newton alternate algorithm on MLE and the least Pearson χ2 statistic estimate were recommended. ［Ch，10 ref.］
- Hardy-Weinberg equilibrium（HWE）,
- HWE test,
- frequency of allele,
- maximum likelihood estimate,
- minimum Pearson χ2 estimate

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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Hardy-Weinberg equilibrium testing and estimating of allele frequency

1. School of Sciences，Zhejiang Forestry College，Lin’an 311300，Zhejiang,China

Corresponding author: GUAN Yu

Received Date: 2008-06-23

Rev Recd Date: 2008-09-26

Publish Date: 2009-02-20

Key words:

Abstract: As the most important principle in population genetics，Hardy-Weinberg equilibrium （HWE） is a rule to check whether observed genotypic frequencies and allele frequencies between parents and their offspring are in equilibrium in a population. During HWE testing，frequencies of those alleles must be estimated. When there were dominant and recessive genotypes，we used Newton alternate algorithm to get maximum likelihood estimate（MLE） of allele frequencies. The research findings indicated that Newton alternate algorithm had a faster convergence than method of maximum likelihood. An approximate formula about the least Pearson χ2 statistic estimate and MLE was discussed. Newton alternate algorithm on MLE and the least Pearson χ2 statistic estimate were recommended. ［Ch，10 ref.］

Hardy-Weinberg equilibrium testing and estimating of allele frequency

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Related

Proportional views